On the construction of Griesmer codes of dimension 5

被引：5

作者：

Kageyama, Yuuki ^{[1
]}

Maruta, Tatsuya ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Dept Math & Informat Sci, Sakai, Osaka 5998531, Japan

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 75卷 / 02期

基金：

日本学术振兴会;

关键词：

Linear codes; Projective dual; Griesmer; Projective geometry; TERNARY LINEAR CODES;

D O I：

10.1007/s10623-013-9914-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We construct Griesmer [n, 5, d](q) codes for 2q(4) + 1 <= d <= 2q(4) + q(2) - q using some geometric methods such as projective dual and geometric puncturing.

引用

页码：277 / 280

页数：4

共 14 条

[1] The Correspondence between Projective Codes and 2-weight Codes [J].

Brouwer A.E. ;

Van Eupen M. .

Designs, Codes and Cryptography, 1997, 11 (3) :261-266

[2] On the minimum length of some linear codes of dimension 5 [J].

Cheon, EJ ;

Kato, T ;

Kim, SJ .

DESIGNS CODES AND CRYPTOGRAPHY, 2005, 37 (03) :421-434

[3]

Grassl M., Tables of linear codes and quantum codes

[4]

Hill R, 1999, CH CRC RES NOTES MAT, V403, P127

[5]

Hill R., 1992, Designs, Codes and Cryptography, V2, P137, DOI 10.1007/BF00124893

[6]

HILL R, 1992, CRYPTOGRAPHY CODING, V2, P75

[7]

Hirschfeld J., 1998, PROJECTIVE GEOMETRIE

[8]

Hirschfeld J.W.P., 1991, GEN GALOIS GEOMETRIE

[9]

KOHNERT A, BEST LINEAR CODES

[10] On the nonexistence of q-ary linear codes of dimension five [J].

Maruta, T .

DESIGNS CODES AND CRYPTOGRAPHY, 2001, 22 (02) :165-177

← 1 2 →