Gold type codes of higher relative dimension

or respectively 2 m−e 2e )d + 1, 2 m−3e 2e )d + 1, · · · , 2 m+3e 2e −k)d + 1. Then s1, · · · , sk−1 are maximum-length binary sequences of length 2 m − 1. Let C be the F2-vector space generated by all circular shifts of s, s1, · · · , sk−1. Then C has an F2m-vector space structure, and is of dimension k over F2m . When k = 2, C is the Gold code. So we regard C as a Gold type code of relative dimension k. The DC component distribution of C is explicitly calculated out in the present paper. Key phrases: Gold code, cyclic code, alternating form MSC: 94B15, 11T71.