A Class of Nonbinary Codes and Sequence Families
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New constructions of large binary sequences family with low correlation
Inscrypt'06 Proceedings of the Second SKLOIS conference on Information Security and Cryptology
New families of p-ary sequences from quadratic form with low correlation and large linear span
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
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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.