Title
A Putative Doubly Even [72,36,16] Code Does Not Have an Automorphism of Order 9
Abstract
In this paper, we prove that there does not exist a binary self-dual doubly even $[72, 36, 16]$ code with an automorphism of order 9. To do so, we apply a method for constructing binary self-dual codes possessing an automorphism of order $p^2$ for an odd prime $p$.
Year
DOI
Venue
2012
10.1109/TIT.2011.2165829
IEEE Transactions on Information Theory
Keywords
DocType
Volume
binary codes,dual codes,automorphism,binary self-dual codes,binary self-dual doubly even code,putative doubly even [72,36,16] code,Automorphisms,self-dual codes
Journal
58
Issue
ISSN
Citations 
1
0018-9448
3
PageRank 
References 
Authors
0.50
7
1
Name
Order
Citations
PageRank
Nikolay Yankov1567.51