RESEARCH TO DEVELOP THE ALGEBRAIC THEORY OF CODES.
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 PSL2(47) 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 14, 1968
- Accession Number
- AD0678108
Entities
People
- E. F. Assmus Jr.
- H. F. Mattson Jr.
Organizations
- Sylvania Electric Products