Title
Classification of binary self-dual [48, 24, 10] codes with an automorphism of odd prime order.
Abstract
The purpose of this paper is to complete the classification of binary self-dual [48,24,10] codes with an automorphism of odd prime order. We prove that if there is a self-dual [48,24,10] code with an automorphism of type p-(c,f) with p being an odd prime, then p=3, c=16, f=0. By considering only an automorphism of type 3-(16,0), we prove that there are exactly 264 inequivalent self-dual [48,24,10] codes with an automorphism of odd prime order, equivalently, there are exactly 264 inequivalent cubic self-dual [48,24,10] codes.
Year
DOI
Venue
2012
10.1016/j.ffa.2012.08.002
Finite Fields and Their Applications
Keywords
DocType
Volume
94B05
Journal
18
Issue
ISSN
Citations 
6
1071-5797
5
PageRank 
References 
Authors
0.52
12
3
Name
Order
Citations
PageRank
Stefka Bouyuklieva110813.95
Nikolay Yankov2567.51
Jon-Lark Kim331234.62