Profile

Hyun Kwang Kim 사진
Profile.
Name Hyun Kwang Kim
Organization Dept of Mathematics
Telephone 279-2049
E-mail hkkim@postech.ac.kr
Homepage http://math.postech.ac.kr/~hkkim

Education

  • 1983.09 ~ 1988.05 JOHNS HOPKINS UNIV. (박사-대수학)
  • 1979.03 ~ 1981.02 서울대학교 (석사-수학)
  • 1975.03 ~ 1979.02 서울대학교 (학사-수학)

Career

  • 1981.09 ~ 1983.06 : 울산대학 수학과

Profession

  • 대수적 정수론, 가법정수론
  • 부호이론: 순서집합 부호, 포갬부호

Journal Papers

International

  • A structure theory for graphs with fixed smallest eigenvalue, Linear Algebra and its Applications, , 504, 1-13 (2016)
  • Local duality theorem for q-ary 1-perfect codes, DESIGNS CODES AND CRYPTOGRAPHY, , 70, 305-311 (2014)
  • New Inequalities for q-ary constant-weight codes, DESIGNS CODES AND CRYPTOGRAPHY, , 73, 369-381 (2014)
  • Matrices uniquely determined by their lonesums, Linear Algebra and its Applications, , 438, 3107-3123 (2013)
  • Improved Semidefinite Programming Bound on Sizes of Codes, IEEE TRANSACTIONS ON INFORMATION THEORY, , 59, 7337-7345 (2013)
  • Matrices uniquely determined by their lonesums (vol 438, pg 3107, 2013), LINEAR ALGEBRA AND ITS APPLICATIONS, , 439, 289-289 (2013)
  • Association schemes and MacWilliams dualities for generalized Niederreiter-Rosenbloom-Tsfasman posets, DISSERTATIONES MATHEMATICAE, , , 5-+ (2012)
  • Delsarte's Linear Programming Bound for Constant-Weight Codes, IEEE TRANSACTIONS ON INFORMATION THEORY, , 58, 5956-5962 (2012)
  • Structures and lower bounds for binary covering arrays, DISCRETE MATHEMATICS, , 312, 2958-2968 (2012)
  • Type I Codes over GF(4), ARS COMBINATORIA, , 106, 173-191 (2012)
  • Optimal single deletion correcting code of length four over an alphabet of even size, IEEE TRANSACTIONS ON INFORMATION THEORY, , 56, 3217-3220 (2010)
  • EVALUATION OF ZETA FUNCTION OF THE SIMPLEST CUBIC FIELD AT NEGATIVE ODD INTEGERS (VOL 124, PG 551, 2007)", MATHEMATICS OF COMPUTATION, , 78, 617-618 (2009)
  • Evaluation of zeta function of the simplest cubic field at negative odd integers, MATHEMATICS OF COMPUTATIONS, , 78, 617-618 (2009)
  • Conference on association schemes, codes and designs Com(2)MaC 2004 - Preface, DISCRETE MATHEMATICS, , 308, 2925-2925 (2008)
  • Maximum distance separable poset codes, DESIGNS CODES AND CRYPTOGRAPHY, , 48, 247-261 (2008)
  • Groups of linear isometries on poset structures, DISCRETE MATHEMATICS, , 308, 4116-4123 (2008)
  • The Poset Metrics That Allow Binary Codes of Codimension m to be m-, (m-1)-, or (m-2)-Perfect, IEEE TRANSACTIONS ON INFORMATION THEORY, , 54, 5241-5246 (2008)
  • THE POSET STRUCTURES ADMITTING THE EXTENDED BINARY GOLAY CODE TO BE A PERFECT CODE, DISCRETE MATHEMATICS, , 308, 4057-4068 (2008)
  • Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers, MANUSCRIPTA MATHEMATICA, , 124, 551-560 (2007)
  • A classification of posets admitting the MacWilliams identity, IEEE TRANSACTIONS ON INFORMATION THEORY, , 51, 1424-1431 (2005)
  • Some new results on superimposed codes, JOURNAL OF COMBINATORIAL DESIGNS, , 13, 276-285 (2005)
  • On the nonexistence of triple-error-correcting perfect binary linear codes with a crown poset structure, DISCRETE MATHEMATICS, , 297, 174-181 (2005)
  • Linear discrepancy of the product of two chains, ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, , 22, 63-72 (2005)
  • On optimal superimposed codes, JOURNAL OF COMBINATORIAL DESIGNS, , 12, 79-91 (2004)
  • The poset structures admitting the extended binary Hamming code to be a perfect code, DISCRETE MATHEMATICS, , 288, 37-47 (2004)
  • On regular polytope numbers, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, , 131, 65-75 (2003)
  • Classification of perfect linear codes with crown poset structure, DISCRETE MATHEMATICS, , 268, 21-30 (2003)
  • Evaluation of zeta function of the simplest cubic field at negative odd integers, MATHEMATICS OF COMPUTATION, , 71, 1243-1262 (2002)
  • Values of zeta functions and class number 1 criterion for the simplest cubic fields, NAGOYA MATHEMATICAL JOURNAL, , 160, 161-180 (2000)
  • Generalized Eichler-Shimura isomorphisms for compact locally symmetric spaces, OSAKA JOURNAL OF MATHEMATICS, , 35, 407-415 (1998)
  • Class number 2 criteria for real quadratic fields of Richaud-Degert type, JOURNAL OF NUMBER THEORY, , 62, 257-272 (1997)
  • Class number 1 criteria for real quadratic fields of Richaud-Degert type, JOURNAL OF NUMBER THEORY, , 57, 328-339 (1996)
  • On the cancellation problem of Zariski, BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, , 53, 499-500 (1996)
  • CONSTRUCTION OF JACOBI FORMS, MATHEMATISCHE ZEITSCHRIFT, , 219, 71-76 (1995)
  • UNIT THEOREMS ON ALGEBRAIC TORI, NAGOYA MATHEMATICAL JOURNAL, , 112, 117-124 (1988)

Domestic Journal Papers

  • A CLASSIFICATION OF CERTAIN BIQUADRATIC FIELDS OF CLASS NUMBER 1, 대한수학회보, , 28, 15-21 (1991)

General Journal Papers

  • ON THE OPTIMALITY OF TRIVIAL (W, R)-COVER-FREE CODES, PROBLEMS OF INFORMATION TRANSMISSION , , 40, 195-201 (2004)
  • A DECODING SCHEME FOR THE 4-ARY LEXICODES WITH D=4, INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, , 29, 265- (2002)
  • ON TWO CONJECTURES ON REAL QUADRATIC FIELDS, JAPAN ACADEMY. PROCEEDINGS. SERIES A: MATHEMATICAL SCIENCES, , 63, 222-224 (1987)

Conference Proceedings

  • Classification of posets admitting the linearity of isometries over the binary field, Proceedings of the 10th worhshop on Algebraic and Combinatorial Coding Theory, 0, 0, 123-126 (2006)
  • Optimal codes in deletion and insertion metric, Proceedings of the 10th international workshop on Algebraic and Combinatorial Coding Theory, 0, 0, 143-146 (2006)
  • The nonexistence of (51,8,3,3) superimposed codes, Proceedings of the 10th workshop on Algebraic and Combinatorial Coding Theory, 0, 0, 135-138 (2006)
  • 반순서 상의 부호, 조합론 학술대회 2004 논문집, 0, 0, 17-26 (2004)
  • Uniqueness of some optimal superimposed codes, Proceedings of the 9th international workshop on Algebraic and Combinatorial Coding Theory (ACCT 200, 0, 0, 241-246 (2004)
  • Evaluation of zeta functions at s=-1 of the simplest quartic fields, Proceedings of the 2003 Nagoya Conference on Yokoi-Chowla Conjecture and Related Problems, 0, 0, 63-73 (2004)
  • 라그랑쥬의 네 제곱수 정리의 확장에 대하여, 대수기하/정수론 캠프2005, 0, 0, 83-96 (0000)
  • 포갬부호의 최근 연구 결과, 조합론 워크숍 2005 논문집, 0, 0, 15-25 (0000)
  • Uniqueness of some optimal covering arrays, Proceedings of the 5th International Workshop on Optimal Codes and Related Topics (OC 2007), 0, 0, 45-49 (0000)

Invited Talk or Presentations

  • Values of zeta function of the simplest quartic fields, The 1st KIAS-POSTECH International Workshop on Number Theory, 0, 0, - (0000)
  • 반순서 부호의 최근 연구결과, 정수론과 대수학 캠프, 0, 0, - (0000)
  • 확장된 헤밍부호를 완전부호로 만드는 반순서 구조, 대한수학회 춘계학술발표회, 0, 0, - (0000)
  • On optimal superimposed codes, The 5th Algebra and Computation (AC2003), 0, 0, - (0000)
  • Evaluation of zeta functions at s=-1 of the simplest quartic fields, International conference on Yokoi-Chowla conjecture and related problems, 0, 0, - (0000)
  • A classification of posets admitting MacWilliams identitty, Coding Theory Seminar, 0, 0, - (0000)
  • A classification of posets admitting MacWilliams identity, DIMACS Workshop on Algebraic Coding Theory and Information Theory, 0, 0, - (0000)
  • Recent results on poset codes, Coding Theory Seminar, 0, 0, - (0000)
  • On Regular Polytope Numbers, Mathematics Colloquium, 0, 0, - (0000)
  • On the uniqueness of some optimal superimposed codes, Coding Theory Seminar, 0, 0, - (0000)
  • 정다면체 수와 관련 주제들, 제 15회 장전수학회 국제학술회의, 0, 0, - (0000)
  • 반순서 거리상의 부호, 조합론 학술대회 2004, 0, 0, - (0000)
  • Recent results on superimposed codes-survey, Seminars on Combinatorics, 0, 0, - (0000)
  • Regular polytope numbers and related topics, The 9th Korea-Japan joint seminar on Number Theory, 0, 0, - (0000)
  • 반순서거리 상의 부호, 대한수학회 추계학술발표회, 0, 0, - (0000)
  • 반순서 거리공간 상의 부호, 전산수학연구센터 association scheme, 부호 및 디자인에 관한 학술회의, 0, 0, - (0000)
  • Coding Theory over poset metrics, Discrete Analysis and Operation Research 2004, 0, 0, - (0000)
  • On optimal Superimposed Codes, General Theory of Information Transfer, 0, 0, - (0000)

Books

  • Class number 1 criteria for real quadratic fiels of Richard-Degert type, , 328-339, (1996)

Research Activities

  • 정보통신 보안 및 효율성, 한국과학기술원 (2001-2002)
  • SOME PROBLEMS IN NUMBER THEORY AND CODING T, 포항공과대학교 (2002-2003)
  • SOME PROBLEMS IN NUMBER THEORY AND CODING T, 포항공과대학교 (2003-2004)
  • 한.일 정수론 세미나, 한국과학재단 (2004-2004)
  • 인건비풀링과제, 포항공과대학교 (2006-2015)
  • 자체연구개발과제, 포항공과대학교 (2006-2016)
  • 순서집합부호와 연관도식, 한국과학재단 (2006-2007)
  • POSET CODES AND ASSOCIATION SCHEMES, 한국과학재단 (2007-2008)
  • 4.927 이월과제, 한국과학재단 (2007-2008)
  • POSET CODES AND ASSOCIATION SCHEMES, 한국과학재단 (2008-2009)
  • 조합적 대상의 금지 패턴, 포항공과대학교 (2008-2008)
  • SUPERIMPOSED CODES AND RELATED TOPICS, 한국과학재단 (2008-2009)
  • 4.1387_2차년도의 이월과제, 한국과학재단 (2008-2009)
  • TOPICS IN ALGEBRAIC AND COMBINATORIAL CODING THEORY, 한국학술진흥재단 (2008-2009)
  • A CURRICULUM DEVELOPMENT OF THE BASIC MATHEMATICS FOR THE EDUCATION OF LEADING SCIENTISTS, 한국학술진흥재단 (2008-2009)
  • SUPERIMPOSAED CODES AND RELATED TOPICS, 한국과학재단 (2009-2010)
  • CODING THEORY AND DISTANCE REGULAR GRAPHS, 재단법인한국연구재단 (2009-2010)
  • (학생)인건비풀링과제, 포항공대산학협력단 (2009-2020)
  • A CURRICULUM DEVELOPMENT OF THE BASIC MATHEMATICS FOR THE EDUCATION OF LEADING SCIENTISTS, 재단법인한국연구재단 (2009-2010)
  • 4.3297 1차년도 이월과제(교육과정개발사업), 재단법인한국연구재단 (2009-2010)
  • PARTITION NUMBERS, 경북교육청 (2010-2010)
  • CODING THEORY AND DISTANCE REGULAR GRAPHS, 재단법인한국연구재단 (2010-2011)
  • TOPICS IN ALGEBRIAC AND ANALYTIC NUMBER THEORY, 재단법인한국연구재단 (2010-2011)
  • 4.4614_1차년도 이월과제, 재단법인한국연구재단 (2010-2011)
  • TOPICS IN ALGEBRIAC AND ANALYTIC NUMBER THEORY, 재단법인한국연구재단 (2011-2012)
  • CODING THEORY AND DISTANCE REGULAR GRAPHS, 재단법인한국연구재단 (2011-2012)
  • 4.5971.02_2차년도 이월과제, 재단법인한국연구재단 (2011-2012)
  • 4.5994_1차년도 이월과제, 재단법인한국연구재단 (2011-2012)
  • 학부생연구프로그램-백진언(수학)-다각적 관점에서 바라본 다면체 성질에 관한연구, 포항공과대학교 (2012-2012)
  • TOPICS IN ALGEBRIAC AND ANALYTIC NUMBER THEORY, 재단법인한국연구재단 (2012-2013)
  • 4.7350/7620_2차년도 이월과제, 재단법인한국연구재단 (2012-2013)
  • 학부학생연구프로그램, 포항공과대학교 (2013-2013)
  • SINO-KOREA INTERNATIONAL CONFERENCE ON CODING THEORY AND RELATED TOPICS, 재단법인한국연구재단 (2013-2014)
  • 1차년도 포스텍 BK21 플러스 수학사업단, 포항공대산학협력단 (2013-2014)
  • (IBS)기하학 수리물리 연구단 학과 지원금, 포항공과대학교 (2013-2014)
  • 비전임석학교수 지원사업(대학부담), 포항공과대학교 (2014-2014)
  • 비전임석학교수 지원사업(학과부담), 포항공과대학교 (2014-2014)
  • [학생연구프로그램_백진언]대수기하의 이론과 응용에 대하여, 포항공과대학교 (2015-2015)
  • 자체연구개발과제[2015년 신설], 포항공과대학교 (2015-2021)
  • 3차년도 BK21플러스 국고 이자(포스텍 BK21 플러스 수학사업단), 재단법인한국연구재단 (2015-2016)
  • [학부생연구프로그램]다면체 수에 대한 탐구, 포항공과대학교 (2016-2016)

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