Accession Number:

AD0678108

Title:

RESEARCH TO DEVELOP THE ALGEBRAIC THEORY OF CODES.

Descriptive Note:

Final scientific rept. 1 May 67-15 Aug 68,

Corporate Author:

SYLVANIA ELECTRONIC SYSTEMS-EAST WALTHAM MASS APPLIED RESEARCH LAB

Report Date:

1968-09-14

Pagination or Media Count:

105.0

Abstract:

A new bound on minimum distance for a class of cyclic codes of type 3p,p is found. For p 29 this and a small computer search yield new 5-designs on 30 points. Automorphism groups of quadratic-residue codes are discussed, and the orbit-structure of PSL247 on minimum-weight vectors of such a code is determined. Some graphs related to codes are discussed, and some bounds on Ramsey numbers are obtained. Some remarks on the covering radius and a decoding method are presented. The existence of good codes in a small class of codes is proved, and a class of optimal cyclic codes is constructed. Some comments on the literature are made. Author

Subject Categories:

  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE