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

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3 Author(s)
Xiaohu Tang ; Inst. of Mobile Commun., Southwest Jiaotong Univ., Sichuan, China ; P. Udaya ; Pingzhi Fan

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.

Published in:

IEEE Transactions on Information Theory  (Volume:51 ,  Issue: 8 )