WEIGHT DISTRIBUTION FORMULA FOR SOME CLASS OF CYCLIC CODES

Let h 1(X) and h 2(X) be different irreducible polynomials such that _ 2^h x (a ) = 0 for some h (0 < h < m) and h ^a " 1) = 0, a being a primitive element of GF(2m) .This paper presents the weight distribution formula of the code of length 2 -1 generated by (X^ " -1)/(h1 (X)h2(X)) for any m and h.Some applications to the cross-correlation problem between two different maximum length sequences are presented.