Title
On extremal self-dual codes of length 120
Abstract
We prove that the only primes which may divide the order of the automorphism group of a putative binary self-dual doubly-even $$[120, 60, 24]$$ [ 120 , 60 , 24 ] code are $$2, 3, 5, 7, 19, 23$$ 2 , 3 , 5 , 7 , 19 , 23 and $$29$$ 29 . Furthermore we prove that automorphisms of prime order $$p \\ge 5$$ p ¿ 5 have a unique cycle structure. Parts of the results are based on computer computations.
Year
DOI
Venue
2015
10.1007/s10623-013-9902-8
Des. Codes Cryptography
Keywords
DocType
Volume
Extremal self-dual doubly-even code,Automorphism group,94B05
Journal
abs/1302.0033
Issue
ISSN
Citations 
2
0925-1022
2
PageRank 
References 
Authors
0.41
8
1
Name
Order
Citations
PageRank
Jesús De La Cruz127126.56