科研之友
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摘要
We combine the concepts of the p-periodic Legendre sequence, the (q - 1)-periodic Sidelnikov sequence and the two-prime generator to introduce a new p(q - 1)-periodic sequence called Legendre-Sidelnikov sequence. We show that this new sequence is balanced if p = q. For an arbitrary odd prime p and an arbitrary power q of an odd prime with gcd(p,q-1) = 1 we determine the exact values of its (periodic) autocorrelation function and deduce an upper bound on its aperiodic autocorrelation function showing that it is small compared to its period.
- 出版日期2010-4
- 单位南开大学
