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- W830761459 abstract "Pseudo-random sequences are a crucial component of cryptography, particularlyin stream cipher design. In this thesis we will investigate several measures ofrandomness for certain classes of finitely generated sequences.We will present a heuristic algorithm for calculating the k-error linear complexityof a general sequence, of either finite or infinite length, and results on thecloseness of the approximation generated.We will present an linear time algorithm for determining the linear complexityof a sequence whose characteristic polynomial is a power of an irreducible element,again presenting variations for both finite and infinite sequences. This algorithmallows the linear complexity of such sequences to be determined faster than waspreviously possible.Finally we investigate the stability of m-sequences, in terms of both k-errorlinear complexity and k-error period. We show that such sequences are inherentlystable, but show that some are more stable than others." @default.
- W830761459 created "2016-06-24" @default.
- W830761459 creator A5023746971 @default.
- W830761459 date "2013-01-01" @default.
- W830761459 modified "2023-09-23" @default.
- W830761459 title "Complexity measures for classes of sequences and cryptographic apllications" @default.
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