The autocorrelation of m-sequences over nonprime finite fields

W.J. Park, John Joseph Komo · IEEE Transactions on Aerospace and Electronic Systems · 1988

Nonbinary m-sequences (maximal length sequences) for spread-spectrum communication systems that have a two-level autocorrelation are presented. The autocorrelation function of an m-sequence over the Galois field of q elements GF(q), where q=p/sup k/, for p a prime and k an integer greater than 1, is developed and shown to be bilevel when the elements of GF(q) are expressed as elements of a vector space over the pth roots of unity.>

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