立方重偶符号の自己同型群に現れる単純群

別宮耕一

第２７回有限群論草津セミナー報告集   29 - 32   2016.3

組合せ構造における純粋ナッシュ均衡性

別宮耕一

第２６回有限群論草津セミナー報告集   6 - 8   2015.7

On triply even codes

BETSUMIYA Koichi

RIMS Kokyuroku   1844   139 - 145   2013.7

Upper bounds on cyclotomic numbers

Koichi Betsumiya, Mitsugu Hirasaka, Takao Komatsu, Akihiro Munemasa

Linear Algebra and Its Applications   438 ( 1 )   111 - 120   2013.1

Classification of doubly even self-dual codes of length 40

別宮 耕一

第29回代数的組合せ論シンポジウム報告集   10 - 16   2013

A complete classification of doubly even self-dual codes of length 40

Betsumiya Koichi, Harada Masaaki, Munemasa Akihiro

ELECTRONIC JOURNAL OF COMBINATORICS   19 ( 3 )   2012.8

On triply even binary codes

Koichi Betsumiya, Akihiro Munemasa

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES   86 ( 1 )   1 - 16   2012.8

Hadamard matrices of order 32 and extremal ternary self-dual codes

Koichi Betsumiya, Masaaki Harada, Hiroshi Kimura

Designs, Codes and Cryptography. An International Journal   58 ( 2 )   203 - 214   2011.2

Invariant ring of Clifford-Weil group, and Jacobi forms over totally real field.

BETSUMIYA Koichi, Choie, YoungJu

Séminaires et Congrès   21   1 - 16   2010

Mass Formula for Even Codes over Z₄ （共著）

Koichi Betsumiya, Rowena Alma L. Betty and Akihiro Munemasa

Springer-Verlag Lecture Notes in Computer Science   5921   15 - 17   2009.12

Mass formula for even codes over Z_8

別宮 耕一, 宗政 昭弘

Cryptography and Coding, Springer LNCS 5921   65 - 77   2009

Minimum Lee weights of type II codes over F₂^r

Koichi BETSUMIYA

Discrete Mathematics   308 ( 14 )   3018 - 3022   2008.7

Type II codes over Galois rings

別宮耕一

第２４回代数的組合せ論シンポジウム報告集   51 - 54   2007.11

アダマール行列による超立方体の分割

別宮耕一

第１８回有限群論草津セミナー報告集   69 - 70   2006.12

Special Self-Dual Codes over $\mathbb{F}_4$(Theory and Applications of Combinatorial Designs with Related Field)

Betsumiya Koichi

1465   119 - 125   2006.1

Ozeki polynomials and Jacobi forms

K Betsumiya, Y Choie

ARS COMBINATORIA   77   233 - 244   2005.10

Codes over F₄, Jacobi forms and Hilbert-Siegel modular forms over Q(√5) （共著）

Koichi BETSUMIYA, YoungJu CHOIE

European Journal of Combinatorics   26 ( 5 )   629 - 650   2005.7

Jacobi forms over totally real fields and type II codes over Galois rings GR(2(m), f)

K Betsumiya, Y Choie

EUROPEAN JOURNAL OF COMBINATORICS   25 ( 4 )   475 - 486   2004.5

Optimal self-dual codes over F₂×F₂ with respect to the Hamming weight （共著）

Koichi BETSUMIYA, Masaaki HARADA

IEEE Transactions on Information Theory   50 ( 2 )   356 - 358   2004.2

Type II codes over F₂^m+uF₂^m （共著）

Koichi BETSUMIYA, San LING, Fidel R. NEMENZO

Discrete Mathematics   275 ( 1-3 )   43 - 65   2004.1

Formally self-dual codes related to Type II codes

K Betsumiya, M Harada

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING   14 ( 2 )   81 - 88   2003.8

Extremal self-dual codes over F-2 x F-2

K Betsumiya, TA Gulliver, M Harada

DESIGNS CODES AND CRYPTOGRAPHY   28 ( 2 )   171 - 186   2003.3

On self-dual codes over some prime fields （共著）

Koichi Betsumiya, Stelios Georgiou, T. Aaron Gulliver, Masaaki, Harada, Christos Koukouvinos

Discrete Mathematics   262 ( 1-3 )   37 - 58   2003.2

On self-dual codes over some prime fields

K Betsumiya, S Georgiou, TA Gullivere, M Harada, C Koukouvinos

DISCRETE MATHEMATICS   262 ( 1-3 )   37 - 58   2003.2

Type II codes over F₂^r （共著）

Koichi BETSUMIYA, Masaaki HARADA, Akihiro MUNEMASA

Springer-Verlag Lecture Notes in Computer Science   227   102 - 111   2001.11

On Type II codes over F₄ （共著）

Koichi BETSUMIYA, T. Aaron GULLIVER, Masaaki HARADA, Akihiro MUNEMASA

IEEE Transactions on Information Theory   47 ( 6 )   2242 - 2248   2001.9

On type II codes over F-4

K Betsumiya, TA Gulliver, M Harada, A Munemasa

IEEE TRANSACTIONS ON INFORMATION THEORY   47 ( 6 )   2242 - 2248   2001.9

Classification of Type II code over GF(4) of some small lengths (Codes, lattices, vertex operator algebras and finite groups)

Betsumiya Koichi

1228   43 - 50   2001.9

Classification of formally self-dual even codes of lengths up to 16 （共著）

Koichi BETSUMIYA, Masaaki HARADA

Designs, Codes and Cryptography   23 ( 3 )   235 - 332   2001.8

Binary optimal odd formally self-dual codes

K Betsumiya, M Harada

DESIGNS CODES AND CRYPTOGRAPHY   23 ( 1 )   11 - 21   2001.5

Binary optimal odd formally self-dual codes （共著）

Koichi BETSUMIYA, Masaaki HARADA

Designs, Codes and Cryptography   23 ( 1 )   11 - 21   2001.3

Classification of formally self-dual even codes of lengths up to 16

K Betsumiya, M Harada

DESIGNS CODES AND CRYPTOGRAPHY   23 ( 3 )   325 - 332   2001

Type II Codes over F2r.

Koichi Betsumiya, Masaaki Harada, Akihiro Munemasa

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 14th International Symposium, AAECC-14, Melbourne, Australia November 26-30, 2001, Proceedings   102 - 111   2001

On type II codes over F-4

K Betsumiya, TA Gulliver, M Harada, A Munemasa

2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS   47 ( 6 )   141 - 141   2000

Binary optimal linear rate 1/2 codes (共著)

Koichi BETSUMIYA, Masaaki HARADA

Springer-Verlag Lecture Notes in Computer Science   1719   462 - 471   1999.11

On binary extremal formally self-dual even codes (共著)

Koichi BETSUMIYA, T. Aaron GULLIVER, Masaaki HARADA

Kyushu Journal of Mathematics   53 ( 2 )   421 - 430   1999.9