On quasi-abelian complementary dual codes
Issue Date
8-2017
Abstract
Linear codes that meet their dual trivially are also known as linear complementary dual codes. Quasi-abelian complementary dual codes are characterized using a known decomposition of a semisimple group algebra. Consequently, enumeration of such codes are obtained. More explicit formulas are given for the number of quasi-abelian complementary dual codes of index 2 with respect to Euclidean and Hermitian inner products. A sequence of asymptotically good binary quasi-abelian complementary dual codes of index 3 is constructed from an existing sequence of asymptotically good binary self-dual quasi-abelian codes of index 2.
Source or Periodical Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN
0302-9743
Page
192-206
Document Type
Note
Language
English
Subject
Asymptotically good codes, Linear complementary dual codes, Quasi-abelian codes
Recommended Citation
Jitman, S., Palines, H.S., Dela Cruz, R.B. (2017). On Quasi-Abelian Complementary Dual Codes. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 192-206. DOI:10.1007/978-3-319-66278-7_16.
Identifier
DOI:10.1007/978-3-319-66278-7_16
Digital Copy
yes