DocumentCode
936500
Title
Divisors of codeword weights
Author
Ward, Harold N.
Volume
29
Issue
3
fYear
1983
fDate
5/1/1983 12:00:00 AM
Firstpage
337
Lastpage
342
Abstract
The exponent of a nonzero linear code over a finite field of characteristic p is the exponent in the highest power of p dividing the weights of all the codewords. If the code is a right ideal in a group algebra the exponent is related to invariant multilinear forms on the code. This expository paper presents recent results obtained from that relation, extending earlier work of Delsarte and McEliece.
Keywords
Linear coding; Algebra; Error correction; Error correction codes; Filling; Galois fields; Intersymbol interference; Linear code; Mathematics; Retirement; Upper bound;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1983.1056674
Filename
1056674
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