Isodual and self-dual codes from graphs

S. Mallik; B. Yildiz

doi:10.12958/adm1645

Isodual and self-dual codes from graphs

S. Mallik, B. Yildiz

Informatics, Computing, and Cyber Systems, School of

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Binary linear codes are constructed from graphs, in particular, by the generator matrix[I_n|A] whereAis the adjacency matrix of a graph on n vertices. A combinatorial interpretation of the minimum distance of such codes is given. We also present graph theoretic conditions for such linear codes to be Type I and Type II self-dual. Several examples of binary linear codes produced by well-known graph classes are given.

Original language	English (US)
Pages (from-to)	49-64
Number of pages	16
Journal	Algebra and Discrete Mathematics
Volume	32
Issue number	1
DOIs	https://doi.org/10.12958/adm1645
State	Published - 2021

Keywords

Adjacency matrix
Graphs
Isodual codes
Self-dual codes
Strongly regular graphs

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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title = "Isodual and self-dual codes from graphs",

abstract = "Binary linear codes are constructed from graphs, in particular, by the generator matrix[In|A] whereAis the adjacency matrix of a graph on n vertices. A combinatorial interpretation of the minimum distance of such codes is given. We also present graph theoretic conditions for such linear codes to be Type I and Type II self-dual. Several examples of binary linear codes produced by well-known graph classes are given.",

keywords = "Adjacency matrix, Graphs, Isodual codes, Self-dual codes, Strongly regular graphs",

author = "S. Mallik and B. Yildiz",

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AU - Yildiz, B.

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N2 - Binary linear codes are constructed from graphs, in particular, by the generator matrix[In|A] whereAis the adjacency matrix of a graph on n vertices. A combinatorial interpretation of the minimum distance of such codes is given. We also present graph theoretic conditions for such linear codes to be Type I and Type II self-dual. Several examples of binary linear codes produced by well-known graph classes are given.

AB - Binary linear codes are constructed from graphs, in particular, by the generator matrix[In|A] whereAis the adjacency matrix of a graph on n vertices. A combinatorial interpretation of the minimum distance of such codes is given. We also present graph theoretic conditions for such linear codes to be Type I and Type II self-dual. Several examples of binary linear codes produced by well-known graph classes are given.

KW - Adjacency matrix

KW - Graphs

KW - Isodual codes

KW - Self-dual codes

KW - Strongly regular graphs

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ER -

Isodual and self-dual codes from graphs

Abstract

Keywords

ASJC Scopus subject areas

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