DocumentCode
927048
Title
Some results related to generalized Varshamov-Gilbert bounds (Corresp.)
Author
Deza, Mikhail ; Hoffman, Frederick
Volume
23
Issue
4
fYear
1977
fDate
7/1/1977 12:00:00 AM
Firstpage
517
Lastpage
518
Abstract
Two generalizations of the Varshamov-Gilbert bound for error-correcting and error-detecting codes are developed. Sufficient intrinsic conditions are given for classes of linear codes over GF
to include "good" codes, and these classes are related to other known classes. A lower bound on the maximal order of subspaces contained in subsets of certain finite vector spaces is given and related to a bound on error-detecting codes.
to include "good" codes, and these classes are related to other known classes. A lower bound on the maximal order of subspaces contained in subsets of certain finite vector spaces is given and related to a bound on error-detecting codes.Keywords
Error-correcting codes; Error-detecting codes; Additive noise; Bismuth; Error correction codes; Linear code; Sufficient conditions; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1977.1055736
Filename
1055736
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