DocumentCode
1519839
Title
On extremal self-dual quaternary codes of lengths 18 to 28. I
Author
Huffman, W. Cary
Author_Institution
Dept. of Math. Sci., Loyola Univ. of Chicago, IL, USA
Volume
36
Issue
3
fYear
1990
fDate
5/1/1990 12:00:00 AM
Firstpage
651
Lastpage
660
Abstract
A general decomposition theorem is given for self-dual codes over finite fields that have a permutation automorphism of a given form. Such a code can be decomposed as a direct sum of subcodes that may be viewed as shorter-length codes over extension fields where the dual of each direct summand is also a direct summand. Situations in which it is easy to distinguish such codes are also presented. These results are used to enumerate some of the extremal quaternary self-dual codes of lengths 18, 20, 22, 26 and 28
Keywords
error correction codes; direct summand; extremal codes; finite fields; general decomposition theorem; permutation automorphism; quaternary codes; self-dual codes; subcodes; Decoding; Equations; Galois fields; Geometry; Information theory; Turing machines;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.54885
Filename
54885
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