DocumentCode
1018160
Title
Weight enumerators of more irreducible cyclic binary codes
Author
Ward, Robert L.
Volume
39
Issue
5
fYear
1993
fDate
9/1/1993 12:00:00 AM
Firstpage
1701
Lastpage
1709
Abstract
The weight enumerators of all nondegenerate irreducible cyclic binary (n, k) codes have been computed for which k>27 and N=(2k-1)/n<500. The methods used are those developed by McEliece and further expanded by Ward and Segar (1986), using algebraic number theory and Stickelberger´s theorem
Keywords
cyclic codes; number theory; Stickelberger´s theorem; algebraic number theory; irreducible cyclic binary codes; nondegenerate codes; weight enumerators; Binary codes; Error correction codes; Jacobian matrices; Lattices; National security; Polynomials; Protection; US Government;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.259661
Filename
259661
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