Paper Info
Title
New cubic self-dual codes of length 54, 60 and 66.
Abstract
We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length with the algebraic approach of Ling and Solé (IEEE Trans Inf Theory 47(7):2751–2760, . doi:). In particular, we improve the previous results by constructing 1 new binary [54, 27, 10], 6 new [60, 30, 12] and 50 new [66, 33, 12] cubic self-dual codes. We conjecture that there exist no more binary cubic self-dual codes with length 54, 60 and 66.
Year
DOI
Venue
2018
https://doi.org/10.1007/s00200-017-0343-x
Applicable Algebra in Engineering, Communication and Computing
Keywords
DocType
Volume
Quasi-cyclic codes,Self-dual codes,Cubic construction,94B05
Journal
abs/1706.07631
Issue
ISSN
Citations 
4
0938-1279
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Pinar Çomak100.34
Jon-Lark Kim231234.62
Ferruh Özbudak317940.10