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arXiv · 2305.11486

Pseudorandom binary sequences: quality measures and number-theoretic constructions

Arne Winterhof
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Abstract

In this survey we summarize properties of pseudorandomness and non-randomness of some number-theoretic sequences and present results on their behaviour under the following measures of pseudorandomness: balance, linear complexity, correlation measure of order $k$, expansion complexity and $2$-adic complexity. The number-theoretic sequences are the Legendre sequence and the two-prime generator, the Thue-Morse sequence and its sub-sequence along squares, and the prime omega sequences for integers and polynomials.

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Arne Winterhof. 2023-05-19. Pseudorandom binary sequences: quality measures and number-theoretic constructions. https://arxiv.org/abs/2305.11486

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