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
fDate :
3/1/1995 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
