Ternary codes from some reflexive uniform subset graphs

被引：7

作者：

Fish, W. ^{[1
]}

Key, J. D. ^{[1
]}

Mwambene, E. ^{[1
]}

机构：

[1] Univ Western Cape, Dept Math & Appl Math, ZA-7535 Bellville, South Africa

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2014年 / 25卷 / 05期

关键词：

Uniform subset graphs; Codes; Permutation decoding; BINARY-CODES; INCIDENCE MATRICES; REGULAR GRAPHS; TRIPLES;

D O I：

10.1007/s00200-014-0233-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We examine the ternary codes from matrices where is an adjacency matrix of a uniform subset graph of -subsets of a set of size with adjacency defined by subsets meeting in elements of , where . Most of the main parameters are obtained; the hulls, the duals, and other subcodes of the are also examined.

引用

页码：363 / 382

页数：20

共 50 条

[41] On some conjectures about optimal ternary cyclic codes
Liu, Qian
Liu, Ximeng
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2022, 33 (04) : 419 - 436
[42] The covering radius of some primitive ternary BCH codes
Franken, R
Cohen, SD
FINITE FIELDS AND APPLICATIONS, 2004, 2948 : 166 - 180
[43] SOME TERNARY AND QUATERNARY CODES AND ASSOCIATED SPHERE PACKINGS
KSCHISCHANG, FR
PASUPATHY, S
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) : 227 - 246
[44] On some conjectures about optimal ternary cyclic codes
Yan Liu
Xiwang Cao
Wei Lu
Designs, Codes and Cryptography, 2020, 88 : 297 - 309
[45] On some conjectures about optimal ternary cyclic codes
Qian Liu
Ximeng Liu
Applicable Algebra in Engineering, Communication and Computing, 2022, 33 : 419 - 436
[46] The nonexistence of some ternary linear codes of dimension 6
Maruta, T
DISCRETE MATHEMATICS, 2004, 288 (1-3) : 125 - 133
[47] Codes and designs from triangular graphs and their line graphs
Fish, Washiela
Kumwenda, Khumbo
Mwambene, Eric
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (06): : 1411 - 1423
[48] Quasi-Perfect Geometrically Uniform Codes Derived from Graphs over Gaussian Integer Rings
Quilles, Catia
Palazzo, Reginaldo, Jr.
2010 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2010, : 1158 - 1162
[49] Minimum identifying codes in some graphs differing by matchings
Nikandish, R.
Nasab, O. Khani
Dodonge, E.
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2020, 12 (03)
[50] On Minimum Identifying Codes in Some Cartesian Product Graphs
Rall, D. F.
Wash, K.
GRAPHS AND COMBINATORICS, 2017, 33 (04) : 1037 - 1053

← 1 2 3 4 5 →