2016
DOI: 10.1109/tst.2016.7488740
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On the linear complexity of new generalized cyclotomic binary sequences of order two and period pqr

Abstract: Periodic sequences over finite fields, constructed by classical cyclotomic classes and generalized cyclotomic classes, have good pseudorandom properties. The linear complexity of a period sequence plays a fundamental role in the randomness of sequences. Let p, q, and r be distinct odd primes with gcd(p-1, q-1)=gcd(p-1, r -1)=gcd(q-1, r -1)=2. In this paper, a new class of generalized cyclotomic sequence with respect to pqr over GF(2) is constructed by finding a special characteristic set. In addition, we deter… Show more

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