On the distinctness of modular reductions of maximal length sequences modulo odd prime powers

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On the distinctness of modular reductions of maximal length sequences modulo odd prime powers

We discuss the distinctness problem of the reductions modulo M of maximal length sequences modulo powers of an odd prime p, where the integer M has a prime factor different from p. For any two different maximal length sequences generated by the same polynomial, we prove that their reductions modulo M are distinct. In other words, the reduction modulo M of a maximal length sequence is proved to ...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2008

ISSN: 0025-5718,1088-6842

DOI: 10.1090/s0025-5718-08-02075-9