Gold type codes of higher relative dimension

Abstract

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… (More)

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