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- W2053521002 abstract "In cryptology, complexity measures for sequences of elements of a finite field, such as the linear complexity, play an important role. Cryptographically strong sequences or finite strings must not only have a large linear complexity, but also the change of a few terms must not cause a significant decrease of the linear complexity. This requirement leads to the concept of the k -error linear complexity L n , k ( S ) of a string S with terms in a finite field F q and length n . In this article, bounds for the number of strings S of length n with k -error linear complexity L n , k ( S )= c or L n , k ( S )≤ c for a given c are established. Under certain conditions on n , k , and c , exact formulas are also determined. On the basis of these results we derive bounds for the expected value of L n , k ( S ) for random strings S of length n ." @default.
- W2053521002 created "2016-06-24" @default.
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- W2053521002 date "2002-04-01" @default.
- W2053521002 modified "2023-10-14" @default.
- W2053521002 title "Counting Functions and Expected Values for the k-Error Linear Complexity" @default.
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- W2053521002 doi "https://doi.org/10.1006/ffta.2001.0326" @default.
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