IMPROVED LOWER BOUNDS FOR SELF-DUAL CODES OVER F11, F13, F17, F19 AND F23

被引：0

作者：

Gulliver, T. Aaron ^{[1
]}

Harada, Masaaki ^{[2
]}

机构：

[1] Univ Victoria, Dept Elect & Comp Engn, POB 1700,STN CSC, Victoria, BC V8W 2Y2, Canada

[2] Tohoku Univ, Res Ctr Pure & Appl Math, Grad Sch Informat Sci, Sendai 9808579, Japan

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年 / 18卷 / 05期

关键词：

Self-dual code; minimum weight; four-negacirculant code; double cir-culant code; quasi-twisted code; weight enumerator; DOUBLE CIRCULANT;

D O I：

10.3934/amc.2022083

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We construct self-dual codes over F11, F13, F17, F19 and F23 which improve the previously known lower bounds on the largest minimum weights. In particular, the largest possible minimum weight among self-dual [n, n/2] codes over Fp is determined for (p, n) = (19,24) and (23, 28).

引用

页码：1259 / 1265

页数：7

共 17 条

[1] On self-dual codes over some prime fields
Betsumiya, K
Georgiou, S
Gullivere, TA
Harada, M
Koukouvinos, C
[J]. DISCRETE MATHEMATICS, 2003, 262 (1-3) : 37 - 58
[2] The Magma algebra system .1. The user language
Bosma, W
Cannon, J
Playoust, C
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) : 235 - 265
[3] De Boer M. A., 1996, Designs, Codes and Cryptography, V9, P143
[4] Quadratic double circulant codes over fields
Gaborit, P
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2002, 97 (01) : 85 - 107
[5] Self-dual codes from circulant matrices
Georgiou, S. D.
Lappas, E.
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2012, 64 (1-2) : 129 - 141
[6] On Self-Dual MDS Codes
Grassl, Markus
Gulliver, T. Aaron
[J]. 2008 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-6, 2008, : 1954 - +
[7] On circulant self-dual codes over small fields
Grassl, Markus
Gulliver, T. Aaron
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2009, 52 (01) : 57 - 81
[8] New MDS or near-MDS self-dual codes
Gulliver, T. Aaron
Kim, Jon-Lark
Lee, Yoonjin
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (09) : 4354 - 4360
[9] Gulliver TA, 2007, ADV MATH COMMUN, V1, P223
[10] New nonbinary self-dual codes
Gulliver, T. Aaron
Harada, Masaaki
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (01) : 415 - 417

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