DocumentCode
747413
Title
The automorphism groups of the generalized quadratic residue codes
Author
Huffman, W. Cary
Author_Institution
Dept. of Math. Sci., Loyola Univ., Chicago, IL, USA
Volume
41
Issue
2
fYear
1995
fDate
3/1/1995 12:00:00 AM
Firstpage
378
Lastpage
386
Abstract
We give the full automorphism groups as groups of semiaffine transformations, of the extended generalized quadratic residue codes. We also present a proof of the Gleason-Prange theorem for the extended generalized quadratic residue codes that relies only on their definition and elementary theory of linear characters
Keywords
arithmetic codes; cyclic codes; group theory; Gleason-Prange theorem; algebraic coding; automorphism groups; cyclic codes; extended generalized quadratic residue codes; group theory; linear characters; semiaffine transformations; Codes; Fourier transforms; Galois fields; Helium;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.370139
Filename
370139
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