Paper Info
Title
Self-dual [62, 31, 12] and [64, 32, 12] codes with an automorphism of order 7.
Abstract
This paper studies and classifies all binary self-dual [62, 31, 12] and [64, 32, 12] codes having an automorphism of order 7 with 8 cycles. This classification is done by applying a method for constructing binary self-dual codes with an automorphism of odd prime order p. There are exactly 8 inequivalent binary self-dual [62, 31, 12] codes with an automorphism of type 7 - (8, 6). As for binary [64, 32, 12] self-dual codes with an automorphism of type 7 - (8,8) there are 44465 doubly-even and 557 singly-even such codes. Some of the constructed singly-even codes for both lengths have weight enumerators for which the existence was not known before.
Year
DOI
Venue
2014
10.3934/amc.2014.8.73
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Keywords
Field
DocType
Automorphisms,self-dual codes
Prime (order theory),Discrete mathematics,Combinatorics,Automorphism,Mathematics,Binary number
Journal
Volume
Issue
ISSN
8
1
1930-5346
Citations 
PageRank 
References 
7
0.54
9
Authors
1
Name
Order
Citations
PageRank
Nikolay Yankov1567.51