Emergent Mind
A family of sequences with large size and good correlation property arising from $M$-ary Sidelnikov sequences of period $q^d-1$
(1009.1225)
Published Sep 7, 2010
in
cs.IT
and
math.IT
Abstract
Let $q$ be any prime power and let $d$ be a positive integer greater than 1. In this paper, we construct a family of $M$-ary sequences of period $q-1$ from a given $M$-ary, with $M|q-1$, Sidelikov sequence of period $qd-1$. Under mild restrictions on $d$, we show that the maximum correlation magnitude of the family is upper bounded by $(2d -1) \sqrt { q }+1$ and the asymptotic size, as $q\rightarrow \infty$, of that is $\frac{ (M-1)q{d-1}}{d }$. This extends the pioneering work of Yu and Gong for $d=2$ case.
We're not able to analyze this paper right now due to high demand.
Please check back later (sorry!).
Generate a summary of this paper on our Pro plan:
We ran into a problem analyzing this paper.