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Ewha University

자연과학대학

이윤진(李倫珍) 교수

수학과/스크랜튼학부

이윤진 교수는 이화여자대학교 자연과학대학 수학전공 (스크랜튼 학부 겸임) 교수로 정수론(Number Theory) 및 부호이론(Coding Theory) 분야에서 활발히 연구 활동을 하고 있다. 미국 Brown 대학 수학과에서 박사학위를 받았으며, Arizona State University, University of Delaware, Smith College, Simon Fraser University와 같은 미국 및 캐나다의 유수대학에서 교수로 활동한 경력을 가지고 있다. 대외적으로 SCI급 저널인 Bulletin of the Korean Mathematical Society (대한수학회보)의 편집장 (chief-in-editor, 2017-2018)으로 위촉되어 활동하였고 현재 대한수학회보의 편집위원으로 활동하고 있다. 약 4년간 이화여자대학교의 입학처장직을 수행하였고 (2017년-2021년), 7년간 이화여자대학교 BK 21 plus 사업팀 ("수리과학 글로벌 여성인재 양성팀") 의 팀장직(2013년-2019년)을 수행한 바 있다. 또한, 이화여자대학교 수학과 학과장과 수리물리과학부 학부장(2011년-2013년)으로, 정보보호연계전공 주임 교수(2010-2014, 2016-2017)로 활동하였으며, 현재 스크랜튼 학부 겸임 교수(2009년 이후)로 활동하고 있다.  2009년에 이화여자대학교 "강의우수교원상"을 수여 받았고,  2018년 한국과학기술 한림원(KAST)과 에쓰오일 과학문화재단에서 수여한 "제7회 에쓰오일 우수학위논문상"의 수상 실적을 보유하고 있다. 주요 연구 분야는 Number Theory(정수론)와 Algebraic Coding Theory(대수적 부호 이론) 이고, 현재까지 총 100여편의 논문을 SCI 국제 유수 학술지에 발표하였다.
연구실적
• Designing DNA codes from reversible self-dual codes over GF(4) Discrete Mathematics, 2021, v.344 no.1, 112159
SCIE Scopus dColl.
• Infinite families of cyclotomic function fields with any prescribed class group rank Journal of Pure and Applied Algebra, 2021 , 106658
SCIE Scopus dColl.
• Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes IEEE COMMUNICATIONS LETTERS, 2020, v.24 no.6, 1159-1162
SCIE Scopus dColl.
• Classification of self-dual cyclic codes over the chain ring Zp[ u] / ⟨ u3⟩ Designs, Codes, and Cryptography, 2020, v.88 no.10, 2247-2273
SCIE Scopus dColl.
• Construction of reversible self-dual codes Finite Fields and their Applications, 2020, v.67, 101714
SCIE Scopus dColl.
• Construction of single-deletion-correcting DNA codes using CIS codes Designs, Codes, and Cryptography, 2020, v.88 no.12, 2581-2596
SCIE Scopus dColl.
• Infinite Families of Optimal Linear Codes Constructed from Simplicial Complexes IEEE Transactions on Information Theory, 2020, v.66 no.11, 6762-6773
SCIE Scopus dColl.
• Infinite families of MDR cyclic codes over Z4 via constacyclic codes over Z4[u]∕〈u2−1〉 Discrete Mathematics, 2020, v.343 no.3, 111771
SCIE Scopus dColl.
• Infinite families of irregular primes in cyclotomic function fields Journal of Number Theory, 2020, v.207, 1-21
SCIE Scopus dColl.
• Ramanujan graphs and expander families constructed from p-ary bent functions Designs, Codes, and Cryptography, 2020, v.88 no.2, 453-470
SCIE Scopus dColl.
• Ramanujan's function k(tau) = r(tau) r(2)(2 tau) and its modularity OPEN MATHEMATICS, 2020 , 1727-1741
SCIE Scopus dColl.
• Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication MATHEMATICS, 2020, v.8 no.9, 1495
SCIE Scopus dColl.
• Characterization of p-ary bent functions in terms of strongly regular graphs IEEE Transactions on Information Theory, 2019, v.65 no.1, 676-684
SCIE Scopus dColl.
• Classification of cyclic codes over a non-Galois chain ring Zp[u]/〈u3〉 Finite Fields and their Applications, 2019, v.59, 208-237
SCIE Scopus dColl.
• EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 NAGOYA MATHEMATICAL JOURNAL, 2019, v.234, 17-45
SCIE Scopus dColl.
• Modular equations of a continued fraction of order six OPEN MATHEMATICS, 2019, v.17, 202-219
SCIE Scopus dColl.
• A CONTINUED FRACTION OF ORDER TWELVE AS A MODULAR FUNCTION MATHEMATICS OF COMPUTATION, 2018, v.87 no.312, 2011-2036
SCIE Scopus dColl.
• A mass formula for cyclic codes over Galois rings of characteristic p(3) FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52, 214-242
SCIE Scopus dColl.
• CHARACTERIZATION OF CERTAIN TYPES OF r-PLATEAUED FUNCTIONS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, v.55 no.6, 1469-1483
SCIE Scopus KCI dColl.
• Extremal quasi-cyclic self-dual codes over finite fields FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52, 301-318
SCIE Scopus dColl.
• History, tradition, and development of journals of the Korean Mathematical Society Science Editing, 2018, v.5 no.2, 113-118
Scopus dColl.
• Indivisibility of divisor class numbers of Kummer extensions over the rational function field JOURNAL OF NUMBER THEORY, 2018, v.192, 270-292
SCIE Scopus dColl.
• Regulators and class numbers of an infinite family of quintic function fields ACTA ARITHMETICA, 2018, v.185 no.2, 107-125
SCIE Scopus dColl.
• The minimum weights of two-point AG codes on norm-trace curves Finite Fields and their Applications, 2018, v.53, 113-139
SCIE Scopus dColl.
• Three Ramanujan continued fractions with modularity Journal of Number Theory, 2018, v.188, 299-323
SCIE Scopus dColl.
• A level 16 analogue of Ramanujan series for 1/π Journal of Mathematical Analysis and Applications, 2017, v.456 no.1, 177-194
SCIE Scopus dColl.
• Constructions of Formally Self-Dual Codes Over Z(4) and Their Weight Enumerators IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, v.63 no.12, 7667-7675
SCIE Scopus dColl.
• FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, v.54 no.2, 417-426
SCIE Scopus KCI dColl.
• Lee weights of cyclic self-dual codes over Galois rings of characteristic p2 Finite Fields and their Applications, 2017, v.45, 107-130
SCIE Scopus dColl.
• Regulators of an Infinite Family of the Simplest Quartic Function Fields CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2017, v.69 no.3, 579-594
SCIE Scopus dColl.
• t-CIS codes over GF(p) and orthogonal arrays Discrete Applied Mathematics, 2017, v.217, 601-612
SCIE Scopus dColl.
• Complementary information set codes over GF(p) Designs, Codes, and Cryptography, 2016, 19 JAN 2016, 1-15
SCIE Scopus dColl.
• Explicit criteria for construction of plateaued functions IEEE Transactions on Information Theory, 2016, v.62 no.12, 7555-7565
SCIE Scopus dColl.
• Explicit criterions for p-ary functions being non-bent Journal of Mathematical Analysis and Applications, 2016, v.433 no.2, 1177-1189
SCIE Scopus dColl.
• Indivisibility of class numbers of real quadratic function fields Journal of Pure and Applied Algebra, 2016, v.220 no.8, 2828-2835
SCIE Scopus dColl.
• Modularity of a Ramanujan-Selberg continued fraction Journal of Mathematical Analysis and Applications, 2016, v.438 no.1, 373-394
SCIE Scopus dColl.
• The level 13 analogue of the Rogers–Ramanujan continued fraction and its modularity Journal of Number Theory, 2016, v.168, 306-333
SCIE Scopus dColl.
• An efficient construction of self-dual codes Bulletin of the Korean Mathematical Society, 2015, v.52 no.3, 915-923
SCIE KCI Scopus dColl.
• Codes over rings and Hermitian lattices Designs, Codes, and Cryptography, 2015, v.76 no.3, 519-535
SCIE Scopus dColl.
• Construction of all cubic function fields of a given square-free discriminant INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, v.11 no.6, 1839-1885
SCIE Scopus dColl.
• Construction of extremal self-dual codes over Z8 and Z16 Designs, Codes, and Cryptography, 2015, 3 OCT 2015
SCIE Scopus dColl.
• New LCD MDS Codes of Non-Reed-Solomon Type IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, v.67 no.8, 5069-5078
SCIE Scopus dColl.
• AN UPPER BOUND ON THE CHEEGER CONSTANT OF A DISTANCE-REGULAR GRAPH BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, v.54 no.2, 507-519
SCIE Scopus KCI dColl.
• Construction of isodual codes over GF(q) Finite Fields and their Applications, 2017, v.45, 372-385
SCIE Scopus dColl.
• Erratum: A Cheeger inequality of a distance regular graph using Green's function (Discrete Mathematics (2013) 313:20 (2337-2347)) Discrete Mathematics, 2015, v.338 no.9, 1621-1623
SCIE Scopus dColl.
• Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields JOURNAL OF NUMBER THEORY, 2015, v.147, 342-363
SCIE dColl.
• Boolean functions with MacWilliams duality DESIGNS CODES AND CRYPTOGRAPHY, 2014, v.72 no.2, 273-287
SCIE Scopus dColl.
• Hermitian self-dual codes over F-22m + uF(22m) FINITE FIELDS AND THEIR APPLICATIONS, 2014, v.25, 106-131
SCIE Scopus dColl.
• Necessary Conditions for the Existence of Regular p-Ary Bent Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, v.60 no.3, 1665-1672
SCIE Scopus dColl.
• [학술지논문] An infinite family of Griesmer quasicyclic self-orthogonal codes FINITE FIELDS AND THEIR APPLICATIONS, 2021, v.1 no.1 , 1-20
SCI
• [학술지논문] Characterization of a $p$-ary function in terms of association schemes and its applications JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021, v.1 no.1 , 1-20
SCI
• [학술지논문] Class invariants by Siegel resolvents and the modularity of their Galois traces RAMANUJAN JOURNAL, 2021, v.1 no.1 , 1-20
SCIE
• [학술지논문] Connection of $p$-ary $t$-weight linear codes to Ramanujan Cayley graphs with $t+1$ eigenvalues ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021, v.1 no.1 , 1-25
SCIE
• [학술지논문] Designing DNA codes from reversible self-dual codes over GF(4) DISCRETE MATHEMATICS, 2021, v.344 no.1 , 112159-112159
SCI
• [학술지논문] Further improvement on index bounds DESIGNS CODES AND CRYPTOGRAPHY, 2021, v.1 no.1 , 1-20
SCI
• [학술지논문] Infinite families of cyclotomic function fields with any prescribed class group rank JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, v.225 no.9 , 106658-106658
SCI
• [학술지논문] New LCD MDS codes of non-Reed-Solomon type IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, v.67 no.8 , 5069-5078
SCI
• [학술지논문] Non-vanishing of L-functions for cyclotomic characters in function fields PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, v.1 no.1 , 1-15
SCI
• [학술지논문] SOME VALUES IN MOD p^m THETA CYCLES FOR MODULAR FORMS OF LEVEL ONE JOURNAL OF NUMBER THEORY, 2021, v.1 no.1 , 1-20
SCI
• [학술지논문] Self-orthogonal codes over $Z$ arising from the chain ring $Z[u]/ (u^2+1)$ FINITE FIELDS AND THEIR APPLICATIONS, 2021, v.1 no.1 , 1-20
SCI
• [학술지논문] Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes IEEE COMMUNICATIONS LETTERS, 2020, v.24 no.6 , 1159-1162
SCI
• [학술지논문] Classification of self-dual cyclic codes over the chain ring Z(p)[u]/< u(3)> DESIGNS CODES AND CRYPTOGRAPHY, 2020, v.88 no.10 , 2247-2273
SCI
• [학술지논문] Construction of reversible self-dual codes FINITE FIELDS AND THEIR APPLICATIONS, 2020, v.67 no.1 , 101714-101714
SCI
• [학술지논문] Construction of single-deletion-correcting DNA codes using CIS codes DESIGNS CODES AND CRYPTOGRAPHY, 2020, v.88 no.12 , 2581-2596
SCI
• [학술지논문] Infinite Families of Optimal Linear Codes Constructed From Simplicial Complexes IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, v.66 no.11 , 6762-6773
SCI
• [학술지논문] Infinite families of MDR cyclic codes over Z(4) via constacyclic codes over Z(4)[u]/< u(2)-1 > DISCRETE MATHEMATICS, 2020, v.343 no.3 , 1-12
SCI
• [학술지논문] Infinite families of irregular primes in cyclotomic function fields JOURNAL OF NUMBER THEORY, 2020, v.207 no.0 , 1-21
SCI
• [학술지논문] Ramanujan graphs and expander families constructed from p-ary bent functions DESIGNS CODES AND CRYPTOGRAPHY, 2020, v.88 no.2 , 453-470
SCI
• [학술지논문] Ramanujan's function k(tau) = r(tau) r(2)(2 tau) and its modularity OPEN MATHEMATICS, 2020, v.18 no.0 , 1727-1741
SCIE
• [학술지논문] Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication MATHEMATICS, 2020, v.8 no.9 , 1495-1495
SCIE
• [학술지논문] Characterization of p-ary Bent Functions in Terms of Strongly Regular Graphs IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, v.65 no.1 , 676-684
SCI
• [학술지논문] Classification of cyclic codes over a non-Galois chain ring Z(p) [u] / < u(3)> FINITE FIELDS AND THEIR APPLICATIONS, 2019, v.59 no.1 , 208-237
SCI
• [학술지논문] EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 NAGOYA MATHEMATICAL JOURNAL, 2019, v.234 no.1 , 17-45
SCI
• [학술지논문] Modular equations of a continued fraction of order six OPEN MATHEMATICS, 2019, v.17 no.0 , 202-219
SCIE
• [학술지논문] A CONTINUED FRACTION OF ORDER TWELVE AS A MODULAR FUNCTION MATHEMATICS OF COMPUTATION, 2018, v.87 no.312 , 2011-2036
SCI
• [학술지논문] A mass formula for cyclic codes over Galois rings of characteristic p(3) FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52 no.0 , 214-242
SCI
• [학술지논문] CHARACTERIZATION OF CERTAIN TYPES OF r-PLATEAUED FUNCTIONS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, v.55 no.6 , 1469-1483
SCIE
• [학술지논문] Extremal quasi-cyclic self-dual codes over finite fields FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52 no.0 , 301-318
SCI
• [학술지논문] History, tradition, and development of journals of the Korean Mathematical Society Science Editing, 2018, v.5 no.2 , 113-118
Scopus
• [학술지논문] Indivisibility of divisor class numbers of Kummer extensions over the rational function field JOURNAL OF NUMBER THEORY, 2018, v.192 no.1 , 270-292
SCI
• [학술지논문] Regulators and class numbers of an infinite family of quintic function fields ACTA ARITHMETICA, 2018, v.185 no.2 , 107-125
SCI
• [학술지논문] The minimum weights of two-point AG codes on norm-trace curves FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.53 no.0 , 113-139
SCI
• [학술지논문] Three Ramanujan continued fractions with modularity JOURNAL OF NUMBER THEORY, 2018, v.188 no.0 , 299-323
SCI
• [학술지논문] A level 16 analogue of Ramanujan series for 1/pi JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, v.456 no.1 , 177-194
SCI
• [학술지논문] AN UPPER BOUND ON THE CHEEGER CONSTANT OF A DISTANCE-REGULAR GRAPH BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(대한수학회보), 2017, v.54 no.2 , 507-519
SCIE
• [학술지논문] Construction of isodual codes over GF(q) FINITE FIELDS AND THEIR APPLICATIONS, 2017, v.45 no.1 , 372-385
SCI
• [학술지논문] Constructions of Formally Self-Dual Codes Over Z(4) and Their Weight Enumerators IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, v.63 no.12 , 7667-7675
SCI
• [학술지논문] FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY(대한수학회지), 2017, v.54 no.2 , 417-426
SCIE
• [학술지논문] Lee weights of cyclic self-dual codes over Galois rings of characteristic p(2) FINITE FIELDS AND THEIR APPLICATIONS, 2017, v.45 no.1 , 107-130
SCI
• [학술지논문] Regulators of an Infinite Family of the Simplest Quartic Function Fields CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2017, v.69 no.3 , 579-594
SCI
• [학술지논문] t-CIS codes over GF (p) and orthogonal arrays DISCRETE APPLIED MATHEMATICS, 2017, v.217 no.1 , 601-612
SCI
• [학술지논문] Complementary information set codes over GF(p) DESIGNS CODES AND CRYPTOGRAPHY, 2016, v.81 no.3 , 541-555
SCI
• [학술지논문] Construction of extremal self-dual codes over Z(8) and Z(16) DESIGNS CODES AND CRYPTOGRAPHY, 2016, v.81 no.2 , 239-257
SCI
• [학술지논문] Explicit Criteria for Construction of Plateaued Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, v.62 no.12 , 7555-7565
SCI
• [학술지논문] Explicit criterions for p-ary functions being non-bent JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, v.433 no.2 , 1177-1189
SCI
• [학술지논문] Indivisibility of class numbers of real quadratic function fields JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, v.220 no.8 , 2828-2835
SCI
• [학술지논문] Modularity of a Ramanujan-Selberg continued fraction JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, v.438 no.1 , 373-394
SCI
• [학술지논문] The level 13 analogue of the Rogers-Ramanujan continued fraction and its modularity JOURNAL OF NUMBER THEORY, 2016, v.168 no.0 , 306-333
SCI
• [학술지논문] A Cheeger inequality of a distance regular graph using Green's function (vol 313, pg 2337, 2013) DISCRETE MATHEMATICS, 2015, v.338 no.9 , 1621-1623
SCI
• [학술지논문] AN EFFICIENT CONSTRUCTION OF SELF-DUAL CODES BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(대한수학회보), 2015, v.52 no.3 , 915-923
SCIE
• [학술지논문] Codes over rings and Hermitian lattices DESIGNS CODES AND CRYPTOGRAPHY, 2015, v.76 no.3 , 519-535
SCI
• [학술지논문] Construction of all cubic function fields of a given square-free discriminant INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, v.11 no.6 , 1839-1885
SCIE
• [학술지논문] Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields JOURNAL OF NUMBER THEORY, 2015, v.147 no.1 , 342-363
SCI
• [학술지논문] Boolean functions with MacWilliams duality DESIGNS CODES AND CRYPTOGRAPHY, 2014, v.72 no.2 , 273-287
SCI
• [학술지논문] Hermitian self-dual codes over F-22m + uF(22m) FINITE FIELDS AND THEIR APPLICATIONS, 2014, v.25 no.1 , 106-131
SCI
• [학술지논문] Necessary Conditions for the Existence of Regular p-Ary Bent Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, v.60 no.3 , 1665-1672
SCI
• [학술지논문] A Cheeger inequality of a distance regular graph using Green's function DISCRETE MATHEMATICS, 2013, v.313 no.20 , 2337-2347
SCI
• [학술지논문] Classification of Extremal Self-Dual Quaternary Codes of Lengths 30 and 32 IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, v.59 no.4 , 2352-2358
SCI
• [학술지논문] Construction of extremal self-dual codes over F-2 + uF(2) with an automorphism of odd order (vol 18, pg 971, 2012) FINITE FIELDS AND THEIR APPLICATIONS, 2013, v.23 no.0 , 103-104
SCI
• [학술지논문] EXPLICIT EXPRESSION OF THE KRAWTCHOUK POLYNOMIAL VIA A DISCRETE GREEN'S FUNCTION JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, v.50 no.0 , 509-527
SCI
• [학술지논문] EXPLICIT ISOGENY THEOREMS FOR DRINFELD MODULES PACIFIC JOURNAL OF MATHEMATICS, 2013, v.263 no.1 , 87-116
SCI
• [학술지논문] Galois characters arising from Drinfeld modules JOURNAL OF NUMBER THEORY, 2013, v.133 no.3 , 888-896
SCI
• [학술지논문] Infinite families of elliptic curves over Dihedral quartic number fields JOURNAL OF NUMBER THEORY, 2013, v.133 no.1 , 115-122
SCI
• [학술지논문] NEWTON POLYGONS, SUCCESSIVE MINIMA, AND DIFFERENT BOUNDS FOR DRINFELD MODULES OF RANK 2 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, v.141 no.0 , 83-91
SCI
• [학술지논문] Nonexistence of certain types of plateaued functions DISCRETE APPLIED MATHEMATICS, 2013, v.161 no.0 , 2745-2748
SCI
• [학술지논문] THIN ADDITIVE BASES FOR MONIC POLYNOMIALS IN F-q[t] BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, v.50 no.0 , 399-405
SCI
• [학술지논문] CONSTRUCTION OF SELF-DUAL CODES OVER F_2 + uF_2 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, v.49 no.1 , 135-143
SCI
• [학술지논문] Coefficients of exponential functions attached to Drinfeld modules of rank 2 MANUSCRIPTA MATHEMATICA, 2012, v.139 no.1-2 , 123-136
SCI
• [학술지논문] Construction of extremal self-dual codes over F_2 + uF_2 with an automorphism of odd order FINITE FIELDS AND THEIR APPLICATIONS, 2012, v.18 no.5 , 971-992
SCI
• [학술지논문] Construction of quasi-cyclic self-dual codes FINITE FIELDS AND THEIR APPLICATIONS, 2012, v.18 no.3 , 613-632
SCI
• [학술지논문] Decomposition of places in dihedral and cyclic quintic trinomial extensions of global fields MANUSCRIPTA MATHEMATICA, 2012, v.137 no.1-2 , 107-127
SCI
• [학술지논문] MacWilliams duality and a Gleason-type theorem on self-dual bent functions DESIGNS CODES AND CRYPTOGRAPHY, 2012, v.63 no.3 , 295-304
SCI
• [학술지논문] Binary formally self-dual odd codes DESIGNS CODES AND CRYPTOGRAPHY, 2011, v.61 no.2 , 141-150
SCI
• [학술지논문] CONSTRUCTION OF SELF-DUAL CODES WITH AN AUTOMORPHISM OF ORDER p ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2011, v.5 no.1 , 23-36
SCI
• [학술지논문] FAMILIES OF ELLIPTIC CURVES OVER CUBIC NUMBER FIELDS WITH PRESCRIBED TORSION SUBGROUPS MATHEMATICS OF COMPUTATION, 2011, v.80 no.273 , 579-591
SCI
• [학술지논문] FAMILIES OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS WITH PRESCRIBED TORSION SUBGROUPS MATHEMATICS OF COMPUTATION, 2011, v.80 no.276 , 2395-2410
SCI
• [학술지논문] MDS Poset-Codes Satisfying the Asymptotic Gilbert-Varshamov Bound in Hamming Weights IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, v.57 no.12 , 8021-8026
SCI
• [학술지논문] The l-Rank Structure of a Global Function Field Fields Institute Communications, 2011, v.60 , 145-166
• [학술지논문] CLASS GROUPS OF GLOBAL FUNCTION FIELDS WITH CERTAIN SPLITTING BEHAVIORS OF THE INFINITE PRIME PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, v.137 , 415-424
SCI
• [학술지논문] Construction of cubic self-dual codes Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 2396-2399
• [학술지논문] Self-dual codes using the building-up constructions Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 2400-2402
• [학술지논문] Construction of hyperelliptic function fields of high three-rank MATHEMATICS OF COMPUTATION, 2008, v.77 no.261 , 503-530
SCI
• [학술지논문] Construction of self-dual codes over finite rings Zpm JOURNAL OF COMBINATORIAL THEORY SERIES A, 2008, v.115 no.3 , 407-422
SCI
• [학술지논문] Eta pairing computation on general divisors over hyperelliptic curves y(2)=x(P)-x+d JOURNAL OF SYMBOLIC COMPUTATION, 2008, v.43 no.6-7 , 452-474
SCI
• [학술지논문] New MDS or near-MDS self-dual codes IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, v.54 no.9 , 4354-4360
SCI
• [학술지논문] Reflection theorem for divisor class groups of relative quadratic function fields JOURNAL OF NUMBER THEORY, 2008, v.128 no.7 , 2127-2137
SCI
• [학술지논문] Tate pairing computation on the divisors of hyperelliptic curves of genus 2 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, v.45 no.4 , 1057-1073
SCI
• [학술지논문] Construction of MDS self-dual codes over Galois rings DESIGNS CODES AND CRYPTOGRAPHY, 2007, v.45 no.2 , 247-258
SCI
• [학술지논문] Eta pairing computation on general divisors over hyperelliptic curves $y^2 = x^7 - x \pm 1$ Lecture Notes in Computer Science , 2007, v.4575 no.1 , 349-366
• [학술지논문] The Scholz theorem in function fields JOURNAL OF NUMBER THEORY, 2007, v.122 no.2 , 408-414
SCI
• [학술지논문] Class number divisibility of relative quadratic function fields ACTA ARITHMETICA, 2006, v.121 no.2 , 161-173
SCI
• [학술지논문] Higher rank subgroups in the class groups of imaginary function fields JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, v.207 no.1 , 51-62
SCI
• [학술지논문] Class groups of imaginary function fields: The inert case PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, v.133 no.10 , 2883-2889
SCI
• [학술지논문] The structure of the class groups of global function fields with any unit rank Journal of the Ramanujan Mathematical Society , 2005, v.20 no.2 , 125-145
• [학술지논문] The unit rank classification of a cubic function field by its discriminant MANUSCRIPTA MATHEMATICA, 2005, v.116 no.2 , 173-181
SCI
• [학술지논문] Cohen-Lenstra heuristics and the Spiegelungssatz; function fields JOURNAL OF NUMBER THEORY, 2004, v.106 no.2 , 187-199
SCI
• [학술지논문] Euclidean and Hermitian self-dual MDS codes over large finite fields JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, v.105 no.1 , 79-95
SCI
• [학술지논문] MDS Self-dual Codes Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004, 526-526
• [학술지논문] Computation of the fundamental units and the regulator of a cyclic cubic function field EXPERIMENTAL MATHEMATICS, 2003, v.12 no.2 , 211-225
SCI
• [학술지논문] Cohen-Lenstra heuristics and the Spiegelungssatz: Number fields JOURNAL OF NUMBER THEORY, 2002, v.92 no.1 , 37-66
SCI
• [저역서] 숫자 도깨비 ! 난 찾을 수 있어 ("You can count on monsters" by Richard Evan Schwartz) , 2011, 253
• [학술발표] Construction of DNA codes for DNA computing and DNA data-storage 2021 EIMS International Conference on Computational Mathematics, 대한민국, 2021-08-26 2021 EIMS International Conference on Computational Mathematics, 2021
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• [학술발표] Infinite families of cyclotomic function fields with any prescribed class group rank 2021 KWMS the 16th International Conference, 대한민국, 2021-07-02 2021 KWMS the 16th International Conference, 2021
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• [학술발표] Construction of Hermitian LCD codes over F_4 2020 차세대 여성수학자 커리어 리더스 포럼 , 대한민국, 2020-10-16 2020 차세대 여성수학자 커리어 리더스 포럼 , 2020
• [학술발표] Infinite families of cyclotomic function fields over the rational function field The 9th AORC Virtual Workshop 2020 , 대한민국, 2020-12-29 The 9th AORC Virtual Workshop 2020 , 2020
• [학술발표] Infinite families of cyclotomic function fields with arbitrary class group rank 2020 Ewha-IMS 계산수학 워크샵, 대한민국, 2020-12-28 EIMS WORKSHOP, 2020
• [학술발표] Minimum weights of two-point algebraic geometry codes The 5th Sino-Korea International Conference on Coding Theory and its related topics, 중국, 상하이, 2018-07-05 Proceeding of The 5th Sino-Korea International Conference on Coding Theory and its related topics, 2018
• [학술발표] CIS-codes and orthogonal arrays The third Sino-Korea International Conference on Coding theory and related topics, 중국, 2016-08-08 Proceeding of the third Sino-Korea International Conference on Coding theory and related topics, 2016
• [학술발표] Cyclic self-dual codes over Galois rings 2016 KWMS The 12th International conference, 대한민국, 2016-06-30 Proceeding of 2016 KWMS The 12th International conference, 2016
• [학술발표] Lee weight enumerators of quartic formally self-dual codes 2016 KWMS The 12th International conference, 대한민국, 2016-06-30 Proceeding of 2016 KWMS The 12th International conference, 2016
• [학술발표] Ramanujan-Selberg continued fraction as a modular function 2016 Korea-Japan Joint Number theory Seminar, 대한민국, 2016-02-04 Proceedings of 2016 Korea-Japan Joint Number theory Seminar, 2016
• [학술발표] Self-dual codes over Z_8 and Z_16 2016 East Asian Core Doctoral Forum on Mathematics, 중국, Shanghai, 2016-01-10 Proceedings of 2016 East Asian Core Doctoral Forum on Mathematics, 2016
• [학술발표] Classification of CIS codes over GF(p) 2015 Ewha IMS Workshop, 대한민국, 2015-05-15 Proceeding of 2015 Ewha IMS Workshop, 2015
• [학술발표] Construction of all cubic function fields of a given discriminant 2015 SIAM Conference on applied algebraic geometry, 대한민국, 2015-08-04 Proceeding of 2015 SIAM Conference on applied algebraic geometry, 2015
• [학술발표] Construction of formally self-dual codes over Z_4 6th Ewha-JWU-Ochanomizu Joint Symposium, 대한민국, 2015-12-09 Proceedings of 6th Ewha-JWU-Ochanomizu Joint Symposium, 2015
• [학술발표] Construction of linear codes from p-ary bent functions KSIAM 2015 Annual meeting, 대한민국, 2015-11-21 Proceedings of KSIAM 2015 Annual meeting, 2015
• [학술발표] Construction of self-dual codes over Z_8 and Z_16 6th Ewha-JWU-Ochanomizu Joint Symposium, 대한민국, 2015-12-09 Proceedings of 6th Ewha-JWU-Ochanomizu Joint Symposium, 2015
• [학술발표] Construction of strongly regular graphs from p-ary bent functions KSIAM 2015 Annual meeting, 대한민국, 2015-11-21 Proceedings of KSIAM 2015 Annual meeting, 2015
• [학술발표] Error correcting codes and cyclic codes 6th Ewha-JWU-Ochanomizu Joint Symposium 2015, 대한민국, 2015-12-10 6th Ewha-JWU-Ochanomizu Joint Symposium 2015, 2015
• [학술발표] Extremal self-dual codes over Z_8 or Z_16 2015 KWMS The 11th International conference, 대한민국, 2015-07-03 Proceeding of 2015 KWMS The 11th International conference, 2015
• [학술발표] Formally self-dual codes over Z_4 2015 KWMS The 11th International conference, 대한민국, 2015-07-03 Proceeding of 2015 KWMS The 11th International conference, 2015
• [학술발표] Indivisibility of class numbers of real quadratic function fields 2015 SIAM Conference on applied algebraic geometry, 대한민국, 2015-08-04 Proceeding of 2015 SIAM Conference on applied algebraic geometry, 2015
• [학술발표] Indivisibility of class numbers of real quadratic function fields 2015 Ewha IMS Workshop, 대한민국, 2015-05-15 Proceeding of 2015 Ewha IMS Workshop, 2015
• [학술발표] Recent results on bent functions The 2nd Korea-Sino International Conference on Coding Theory and Related Topics, 대한민국, 2015-01-19 Proceedings of The 2nd Korea-Sino International Conference on Coding Theory and Related Topics, 2015
• [학술발표] Results on Bent functions 2015 Ewha IMS Workshop, 대한민국, 2015-05-15 Proceeding of 2015 Ewha IMS Workshop, 2015
• [학술발표] Results on bent functions 7th KIAS Combinatorics Workshop, 대한민국, 2015-03-13 Proceeding of 7th KIAS Combinatorics Workshop, 2015
• [학술발표] Self-dual codes and quasi-cyclic self-dual codes over finite fields and finite rings 2015 SIAM conference on applied algebraic geometry, 대한민국, 2015-08-03 Proceeding of 2015 SIAM conference on applied algebraic geometry, 2015
• [학술발표] Three-weight or five-weight linear codes constructed from p-ary bent functions 2015 KMS 가울 정기발표회, 대한민국, 2015-10-24 Proceedings of 2015 KMS 가을 정기발표회, 2015
• [학술발표] p-ary complementary information set codes 2015 East Asian Core Doctoral Forum on Mathematics, 대만, 2015-01-22 Proceedings of 2015 East Asian Core Doctoral Forum on Mathematics, 2015
• [학술발표] Asymptotically good number field codes ICM 2014 Satellite Conference on Algebraic Coding Theory, 대한민국, 2014-08-12 ICM 2014 Satellite Conference on Algebraic Coding Theory, 2014
• [학술발표] Classification of Hermitian self-dual codes over F_2^{2m} + uF_2^{2m} KSIAM 2014 Spring Conference, 대한민국, 2014-05-24 KSIAM 2014 Spring Conference, 2014
• [학술발표] Classification of cyclic codes over Z_8 ICM 2014 Satellite conference on Algebraic Coding theory, 대한민국, 2014-08-12 ICM 2014 Satellite conference on Algebraic Coding theory, 2014
• [학술발표] Classification of cyclic self-dual codes over Z_4 and Z_8 of length 2^e 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 대한민국, 2014-12-04 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 2014
• [학술발표] Cohen Lenstra conjecture over Imaginary function fields 2014 Ewha IMS Workshop, 대한민국, 2014-07-10 2014 Ewha IMS Workshop, 2014
• [학술발표] Indivisibility of class numbers of real quadratic function fields China-Korea Joint Seminar on Number Theory, 중국, 2014-10-05 China-Korea Joint Seminar on Number Theory, 2014
• [학술발표] Indivisibility of class numbers of real quadratic function fields Japan-Korea Joint Seminar on Number Theory and, 일본, 2014-11-21 Japan-Korea Joint Seminar on Number Theory and, 2014
• [학술발표] Nonexistence of certain types of regular p-ary bent functions ICM 2014 Satellite conference on Algebraic Coding Theory, 대한민국, 2014-08-12 ICM 2014 Satellite conference on Algebraic Coding Theory, 2014
• [학술발표] Nonexistence of certain types of regular p-ary bent functions KSIAM 2014 Spring Conference, 대한민국, 2014-05-24 KSIAM 2014 Spring Conference, 2014
• [학술발표] Nonexistence of certain types of regular p-ary bent functions 2014 Ewha IMS workshop, 대한민국, 2014-07-10 2014 Ewha IMS workshop, 2014
• [학술발표] Relation of Hermitian self-dual codes over F_{2^{2m}}+uF_{2^{2m}} and F_{2^{2m}} 2014 Ewha IMS Workshop, 대한민국, 2014-07-10 2014 Ewha IMS Workshop, 2014
• [학술발표] The minimum distance of algebraic geometric two-point codes 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 대한민국, 2014-12-03 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 2014
• [학술발표] A Cheeger Inequality of a Distance Regular Graph using the Green's Function Sino-Korea International Conference on Coding Theory and Related Topics, 중국, Wuhan, 2013-08-21 Sino-Korea International Conference on Coding Theory and Related Topics, 2013
• [학술발표] A Cheeger inequality of a distance regular graph using the Green's function The Asian Mathematical Conference 2013, 대한민국, 2013-07-03 The Asian Mathematical Conference 2013, 2013
• [학술발표] Asymptotically good number field codes Joint Symposium 2013 - Japan Women's University, Ochanomizu University & Ewha Womans University , 대한민국, 2013-12-11 Joint Symposium 2013 , 2013
• [학술발표] Construction of Self-dual Quaternary Codes with an Automorphism of Odd Order Sino-Korea International Conference on Coding Theory and Related Topics, 중국, Wuhan, 2013-08-22 Sino-Korea International Conference on Coding Theory and Related Topics, 2013
• [학술발표] Cyclic codes over Z_8 of length 2^e Joint Symposium 2013 - Japan Women's University, Ochanomizu University & Ewha Womans University , 대한민국, 2013-12-12 Joint Symposium 2013 , 2013
• [학술발표] Explicit isogeny theorems and different bounds of Drinfeld modules The Arithmetic of Function Fields and Related Topics, 대한민국, 2013-02-19 The Arithmetic of Function Fields and Related Topics, 2013
• [학술발표] Extremal self-dual quaternary codes with an automorphism of odd order The Asian Mathematical Conference 2013, 대한민국, 2013-07-04 The Asian Mathematical Conference 2013, 2013
• [학술발표] Families of elliptic curves with prescribed torsion subgroups NIMS Pure and Applied Number Theory Conference, 대한민국, 2013-08-14 NIMS Pure and Applied Number Theory Conference, 2013
• [학술발표] Infinite T-decomposing p-class field towers over number fields Korea-Japan Joint Seminar on Number Theory and Related Topics , 대한민국, 2013-01-22 Korea-Japan Joint Seminar on Number Theory and Related Topics , 2013
• [학술발표] Infinite families of elliptic curves over Dihedral quartic number fields Korea-Japan Joint Seminar on Number Theory and Related Topics , 대한민국, 2013-01-24 Korea-Japan Joint Seminar on Number Theory and Related Topics , 2013
• [학술발표] Asymptotically good codes over number fields 2012 The 9th KWMS International Conference, 대한민국, 2012-06-22 2012 The 9th KWMS International Conference, 2012
• [학술발표] Construction Of Extremal Self-dual Codes Over F2 + uF2 With An Automorphism Of Odd Order KSIAM 2012 Spring Conference , 대한민국, 2012-05-16 KSIAM 2012 Spring Conference , 2012
• [학술발표] Construction of extremal self-dual codes over F2+uF2 2012 KMS meeting , 대한민국, 2012-04-28 2012 KMS meeting, 2012
• [학술발표] Construction of self-dual codes with an automorphism 2012 KIAS International Conference on Coding Theory and Applications, 대한민국, 2012-11-15 2012 KIAS International Conference on Coding Theory and Applications, 2012
• [학술발표] Construction of self-dual codes with an automorphism of order p 2012 Annual Meeting of the Korean Mathematical Society, 대한민국, 2012-10-05 2012 Annual Meeting of the Korean Mathematical Society, 2012
• [학술발표] Explicit ramification bounds for division fields of Drinfeld modules 2012 AMS Spring Western Section Meeting, 미국, 2012-03-03 2012 Spring Western Section Meeting, 2012
• [학술발표] Galois characters arising from Drinfeld modules Industrial Number Theory 4, 대한민국, 2012-02-20 Industrial Number Theory 4, 2012
• [학술발표] Gleason-type theorem on self-dual bent functions 10th Korea-Japan Workshop on Algebra and Combinatorics, 대한민국, 2012-01-27 10th Korea-Japan Workshop on Algebra and Combinatorics , 2012
• [학술발표] MacWilliams duality and a Gleason-type theorem on weakly regular p-ary bent functions 2012 KMS meeting, 대한민국, 2012-05-04 2012 KMS meeting, 2012
• [학술발표] A new class of Boolean functions for constructing bent functions 2011 KMS Fall meeting , 대한민국, 2011-10-21 Proceedings of 2011 KMS Fall meeting , 2011
• [학술발표] Building-up construction of self-dual codes and self-dual codes with an automorphism of prime order IMS-NTU Workshop on Coding and Cryptography in Singapore, 싱가폴, 2011-05-23 IMS-NTU Workshop on Coding and Cryptography in Singapore, 2011
• [학술발표] MDS poset-codes satisfying the asymptotic Gilbert-Varshamov bound in Hamming weights International Conference on Coding and Cryptography, 대한민국, 2011-08-24 Proceedings of International Conference on Coding and Cryptography, 2011
• [학술발표] Building-up construction of self-dual codes AGC 2010: International Conference, 대한민국, 2010-07-15 AGC 2010: International Conference on Algebraic and Geometric Combinatorics, 2010
• [학술발표] Construction of Cubic Function Fields from Quadratic Infrastructure 2010 Korea-Japan Number Theory Seminar, 대한민국, 2010-01-20 2010 Korea-Japan Number Theory Seminar, 2010
• [학술발표] Construction of MDS self-dual codes and quasi-cyclic self-dual codes AMS meeting: 2010 Spring Southeastern Sectional Meeting, 미국, Lexington, 2010-03-27 2010 Spring Southeastern Sectional Meeting, Special session on Advances in Algebraic Coding Theory, 2010
• [학술발표] MDS poset-codes and the asymptotic Gilbert-Varshamov bound for their Hamming weights 8th Korea-Japan Workshop on Algebra and Combinatorics, 대한민국, 2010-02-05 Korea-Japan Workshop on Algebra and Combinatorics, 2010
• [학술발표] Self-dual Code Construction over $GF(p^k)$ and $Z_{p^k}$ via Diophantine Equations 2010 KWMS International Conference for Women in Mathematics, 대한민국, 2010-06-21 2010 KWMS International Conference for Women in Mathematics, 2010
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• [학술발표] The Reflection Theorem for global function fields and their applications 2010 AMS Joint Meeting, 미국, 2010-01-14 2010 AMS Joint Meeting, Arithmetic on function fields, 2010
• [학술발표] Binary formally self-dual odd codes 2009 대한수학회 봄 연구 발표회, 대한민국, 2009-04-25 2009 대한수학회 봄 연구 발표회, 2009
• [학술발표] Construction of cubic self-dual codes 2009 IEEE International Symposium on Information Theory, 대한민국, 2009-07-03 Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 1-4
• [학술발표] Self-dual codes using building-up constructions 2009 IEEE International Symposium on Information Theory, 대한민국, 2009-07-03 Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 1-3
• [학술발표] Class groups of function fields II International Workshop: Women in Numbers (WIN), 캐나다, 2008-11-04 International Workshop: Women in Numbers (WIN), 2008, 1-54
• [학술발표] Class groups of global function fields ASARC Number Theory Conference, 대한민국, 2008-08-18 ASARC Number Theory Conference, 2008, 1-42
• [학술발표] Construction of Cubic Function Fields from Quadratic Infrastructure 2007 대한수학회 정기총회 및 가을 연구 발표회, 대한민국, 2007-10-21 2007 대한수학회 정기총회 및 가을 연구 발표회, 2007, 1-42
• [학술발표] Eta pairing computation on general divisors over hyperelliptic curves $y^2 = x^7-x \pm 1$ Pairing 2007, 일본, Tokyo, 2007-07-04 Pairing 2007, 2007, 349-366
• [학술발표] MDS Self-dual Codes IEEE, 미국, Chicago, 2004-07-01 Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004
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• 강의실변경,영어강의
• 2018-1학기

• 현대대수학I

• 학수번호 20462분반 01
• 4학년 ( 3학점 , 3시간) 월 5~5 (포365) , 수 4~4 (포365)
• 영어강의 수강대상:3학년,4학년(16이전학번:4학년,16학번~:3학년 권장)
학력

Brown University Ph.D.(수학과)

Brown University Sc.M.(수학과)

경력

입학처장 2017-06-14 ~ 2021-02-28

정보보호학연계전공주임교수 2016-02-01 ~ 2017-06-25

정보보호학연계전공주임교수 2010-01-01 ~ 2013-08-31

수리물리과학부장 2010-08-01 ~ 2012-01-31

수학전공주임교수 2010-02-01 ~ 2012-01-31

Simon Fraser Univ./Assistant Prof. 2005-08-01 ~ 2007-08-31

Smith College/Visiting Assistant Prof. 2002-09-01 ~ 2005-06-30

Univ. of Delaware/Temparary Assistant Prof. 2000-09-01 ~ 2002-08-31

Arizona State Univ./Visting Prof. 1999-09-01 ~ 2000-08-31

이화여자대학교 BK 21 plus 사업팀 ("수리과학 글로벌 여성인재 양성팀") 의 팀장직 2013-09-01 ~ 2019-08-31

대한수학회보 (Bulletin of the Mathematical Society) 편집위원 2016-01-01 ~ 2023-12-31

대한수학회보 (Bulletin of the Mathematical Society) 편집위원장 2017-01-01 ~ 2018-12-31