RESEARCH TO DEVELOP THE ALGEBRAIC THEORY OF CODES.
Final scientific rept. 1 May 67-15 Aug 68,
SYLVANIA ELECTRONIC SYSTEMS-EAST WALTHAM MASS APPLIED RESEARCH LAB
Pagination or Media Count:
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