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Linear Complexity of A Family of Binary pq2 -periodic Sequences From Euler Quotients
Cryptography linear complexity binary sequences
2019/6/21
We first introduce a family of binary pq2pq2 -periodic sequences based on the Euler quotients modulo pqpq, where pp and qq are two distinct odd primes and pp divides q−1q−1. The minimal po...
Forbidden substrings, Kolmogorov complexity and almost periodic sequences
Forbidden substrings Kolmogorov complexity almost periodic sequences
2010/12/10
Assume that for some < 1 and for all nutural n a set Fn of at most 2 n “forbidden” binary strings of length n is fixed. Then there exists an infinite binary sequence ! that does not have (long) forb...
THE EXTREMAL INDEX OF SUB-SAMPLED PERIODIC SEQUENCES WITH STRONG LOCAL DEPENDENCE
sub-sampling periodic sequences extremal index extreme values
2009/2/26
Let X = fXngn¸1 be a T-periodic sequence. We de¯ne a family of local dependence
conditions D(k) T (u), k ¸ 1, and calculate the extremal index µX from the distributions
of k c...