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Linear complexity and the k-error linear complexity of periodic sequences are the important security indices of stream cipher systems. This paper focuses on the distribution of p-error linear complexity of p-ary sequences with period pn. For p-ary sequences of period pn with linear complexity pn − p+ 1, n ≥ 1, we present all possible values of the perror linear complexity, and derive the exact formulas to count the number of the sequences with any given p-error linear complexity. key words: periodic sequence, k-error linear complexity, counting function, stream ciphers

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On the Distribution of &lt;i&gt;p&lt;/i&gt;-Error Linear Complexity of &lt;i&gt;p&lt;/i&gt;-Ary Sequences with Period &lt;i&gt;p&lt;sup&gt;n&lt;/sup&gt;&lt;/i&gt;