Title
Binary Self-Dual Codes of Lengths 52 to 60 With an Automorphism of Order 7 or 13
Abstract
All binary $[n,n/2]$ optimal self-dual codes for length $52\leq n\leq 60$ with an automorphism of order 7 or 13 are classified up to equivalence. Two of the constructed $[{54,27,10}]$ codes have weight enumerators that were not previously known to exist. There are also some $[{58,29,10}]$ codes with new values of the parameters in their weight enumerator.
Year
DOI
Venue
2011
10.1109/TIT.2011.2155619
IEEE Transactions on Information Theory
Keywords
Field
DocType
binary self-dual codes,optimal self-dual code,weight enumerator,leq n,new value,weight enumerators,binary codes,vectors,generators,automorphisms,linear code,polynomials,support vector machine,support vector machines,bismuth
Hamming code,Discrete mathematics,Combinatorics,Concatenated error correction code,Group code,Low-density parity-check code,Block code,Expander code,Linear code,Reed–Muller code,Mathematics
Journal
Volume
Issue
ISSN
57
11
0018-9448
Citations 
PageRank 
References 
6
0.51
16
Authors
2
Name
Order
Citations
PageRank
Nikolay Yankov1567.51
Radka Russeva2263.84