Measures of pseudorandomness of families of binary lattices. II: A further construction (Q2915413)
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scientific article; zbMATH DE number 6083247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measures of pseudorandomness of families of binary lattices. II: A further construction |
scientific article; zbMATH DE number 6083247 |
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17 September 2012
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pseudorandom
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binary lattice
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family complexity
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collision and avalanche effect
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Measures of pseudorandomness of families of binary lattices. II: A further construction (English)
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This paper is a continuation of the first part [Acta Arith. 144, No. 3, 295--313 (2010; Zbl 1226.11083)]. \textit{C. Mauduit, J. Rivat} and \textit{A. Sárközy} [Monatsh. Math. 141, No. 3, 197--208 (2004; Zbl 1110.11024)] established a polynomial construction of sequences with small well-distribution measure such that the correlation measure can be large. In the present paper this construction is extended to binary lattices. The paper also contains an upper bound for the family complexity of a large subfamily. Finally, it is shown that this subfamily is collision free and has the strict avalanche property.
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