DocumentCode
36153
Title
Self-Dual Codes With an Automorphism of Order 11
Author
Yankov, Nikolay ; Moon Ho Lee ; Gurel, Muberra ; Ivanova, Milena
Author_Institution
Fac. of Math. & Inf., Shumen Univ., Shumen, Bulgaria
Volume
61
Issue
3
fYear
2015
fDate
Mar-15
Firstpage
1188
Lastpage
1193
Abstract
Using a method for constructing self-dual codes having an automorphism of odd prime order, we classify up to equivalence all binary self-dual codes with an automorphism of order 11 with 6 cycles and minimum distance 12. This classification gives new [72, 36, 12] codes with weight enumerator that was previously not obtained as well as many [66, 33, 12], [68, 34, 12], and [70, 35, 12] codes with new values of the parameters in their respective weight enumerators.
Keywords
binary codes; dual codes; binary self-dual codes; odd prime order; order 11 automorphism; weight enumerator; Ethanol; Gas detectors; Powders; Three-dimensional displays; Zinc oxide; Self-dual codes; Self-dual codes,; automorphisms;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2015.2396915
Filename
7021934
Link To Document