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2011
IEEE

On the correlation distribution of Delsarte-Goethals sequences

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On the correlation distribution of Delsarte-Goethals sequences
For odd integer m ≥ 3 and t = 0, 1, . . . , m−1 2 , we define Family V (t) to be a set of size 2m(t+1) containing binary sequences of period 2m+1 − 2. The nontrivial correlations between sequences in Family V (t) are bounded in magnitude by 2+2(m+1)/2+t . Families V (0) and V (1) compare favourably to the small and large Kasami sets, respectively. So far, the correlation distribution of Family V (t) is only known for t = 0. A general framework for computing the correlation distribution of Family V (t) is established. The correlation distribution of V (1) is derived, and a way to obtain the correlation distribution of V (2) is described. Keywords Galois ring, Low correlation, Quadratic Form, Sequence Set
Kai-Uwe Schmidt
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where DCC
Authors Kai-Uwe Schmidt
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