V. L. Kurakin, “A family of sequences over the <nobr>$8$</nobr>-element ring with low correlation”, Mat. Vopr. Kriptogr., 2010, Volume 1, Issue 4,Pages <nobr>85

This article is cited in 1 paper

A family of sequences over the $8$-element ring with low correlation

V. L. Kurakin

Russian State Social University, Moscow

Abstract: We construct a family of sequences over the 8-element ring with period $2^m-1$ such that their cross-correlation functions are asymptotically optimal with respect to the Sidel'nikov and Welch bounds

Key words: finite rings, linear recurrent sequences, periodic sequences, cross-correlation function.

UDC: 519.113.6+512.55

Received 20.IV.2010

DOI: 10.4213/mvk22