Journal article

A new family of nonbinary sequences with three-level correlation property and large linear span

XH Tang, P Udaya, PZ Fan

IEEE Transactions on Information Theory | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2005

Abstract

In this correspondence, we present a new family of nonbinary sequences with three-level nontrivial correlations and large linear complexity. The sequences may be considered as nonlinear analogues of the well-known sequences by Trachtenberg and Helleseth. It is shown that the family is optimal with respect to the Welch bound in terms of root mean square of all nontrivial correlations. We also determine the correlation distribution of the new family. © 2005 IEEE.