Accession Number:

AD0641561

Title:

SOME RESULTS ON CYCLIC CODES WHICH ARE INVARIANT UNDER THE AFFINE GROUP.

Descriptive Note:

Interim rept.,

Corporate Author:

HAWAII UNIV HONOLULU DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

• Kasami,T.
• Lin,S.
• Peterson,W. W.

Report Date:

1966-08-15

Pagination or Media Count:

51.0

Abstract:

First, some general properties of codes which are invariant under the permutation groups were given. For these codes an interesting relation is given between the minimum weights of dual codes. Secondly, results on minimum weights in BCH codes are presented, and exact minimum weights have been established for a number of subclasses of NBCH codes. In every case, the minimum weight equals the BCH bound. Finally, a number of results on Ree-Muller codes are presented, including a new generalization to the non-binary case and a derivation of the exact minimum weight for these codes, and in some cases the number of minimum weight code words. Author

Descriptors:

• (*CODING
• *INVARIANCE)
• GROUPS(MATHEMATICS)
• INFORMATION THEORY
• PERMUTATIONS
• POLYNOMIALS
• MATRICES(MATHEMATICS)

Subject Categories:

• Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE