The autocorrelation of m-sequences over nonprime finitefields |
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Authors: | Park WJ Jr Komo JJ |
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Institution: | Sch. of Eng., Univ. of the Pacific, Stockton, CA ; |
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Abstract: | 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=pk, 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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