On the k-error linear complexity of cyclotomic sequences

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Abstract

Exact values and bounds on the k-error linear complexity of p-periodic sequences which are constant on the cyclotomic classes are determined. This family of sequences includes sequences of discrete logarithms, Legendre sequences and Hall's sextic residue sequence. © 2007 de Gruyter.

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Aly, H., Meidl, W., & Winterhof, A. (2007). On the k-error linear complexity of cyclotomic sequences. Journal of Mathematical Cryptology, 1(3), 283–296. https://doi.org/10.1515/JMC.2007.014

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