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We study the $k$-error linear complexity of subsequences of the $d$-arySidel'nikov sequences over the prime field $\mathbb{F}_{d}$. A general lowerbound for the $k$-error linear complexity is given. For several specialperiods, we show that these sequences have large $k$-error linear complexity.

On the $k$-error linear complexity of subsequences of $d$-ary Sidel'nikov sequences over prime field $\mathbb{F}_{d}$