Title
There exists no Hermitian self-dual quaternary [26,13,10]4 code
Abstract
Hermitian self-dual quaternary codes exist for all even lengths. The smallest length for which the maximum possible minimum distance of such codes is undetermined is 26; it is then either 8 or 10. By exhaustive computer search this case is settled; it is shown that minimum distance 10 is impossible for these parameters.
Year
DOI
Venue
2004
10.1109/TIT.2004.838349
IEEE Transactions on Information Theory
Keywords
Field
DocType
dual codes,linear codes,telecommunication computing,Hermitian self-dual quaternary code,computer search,linear codes,65,Quaternary codes,self-dual codes
Discrete mathematics,Combinatorics,Existential quantification,Algebra,Hermite polynomials,Coding (social sciences),Linear code,Computer search,Hermitian matrix,Telecommunication computing,Mathematics
Journal
Volume
Issue
ISSN
50
12
0018-9448
Citations 
PageRank 
References 
2
0.40
0
Authors
1
Name
Order
Citations
PageRank
Patric R. J. Östergård19212.09