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A Putative Doubly Even [72,36,16] Code Does Not Have an Automorphism of Order 9.

Authors :
Yankov, Nikolay
Source :
IEEE Transactions on Information Theory. Jan2012, Vol. 58 Issue 1, p159-163. 5p.
Publication Year :
2012

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. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
00189448
Volume :
58
Issue :
1
Database :
Academic Search Index
Journal :
IEEE Transactions on Information Theory
Publication Type :
Academic Journal
Accession number :
70576500
Full Text :
https://doi.org/10.1109/TIT.2011.2165829