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• W2141499099 abstract "Mauduit and Sárközy introduced and studied certain numerical parameters associated to finite binary sequences $E_Nin{-1,1}^N$ in order to measure their ‘level of randomness’. Two of these parameters are the normality measure$cal{N}(E_N)$ and the correlation measure$C_k(E_N)$of order k, which focus on different combinatorial aspects of $E_N$. In their work, amongst others, Mauduit and Sárközy investigated the minimal possible value of these parameters.In this paper, we continue the work in this direction and prove a lower bound for the correlation measure $C_k(E_N)$ (k even) for arbitrary sequences $E_N$, establishing one of their conjectures. We also give an algebraic construction for a sequence $E_N$ with small normality measure $cal{N}(E_N)$." @default.
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• W2141499099 date "2006-01-03" @default.
• W2141499099 modified "2023-10-17" @default.
• W2141499099 title "Measures of Pseudorandomness for Finite Sequences: Minimal Values" @default.
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• W2141499099 doi "https://doi.org/10.1017/s0963548305007170" @default.
• W2141499099 hasPublicationYear "2006" @default.
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