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Construction of pseudorandom binary sequences using additive characters over GF(2k) II

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Abstract

In a series of papers Mauduit and Sárközy introduced measures of pseudorandomness and they constructed large families of sequences with strong pseudorandom properties. In later papers the structure of families of binary sequences was also studied. In these constructions fields with prime order were used. Throughout this paper the structure of a family of binary sequences based on GF(2k) will be studied.

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Correspondence to János Folláth.

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Communicated by András Sárközy

The research was partially supported by the TARIPAR3 project (grant Nr. TECH 08-A2/2-2008-0086), the Hungarian-Slovakian project SK-8/2008 and the Hungarian-Croatian project HR-6/2008.

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Folláth, J. Construction of pseudorandom binary sequences using additive characters over GF(2k) II. Period Math Hung 60, 127–135 (2010). https://doi.org/10.1007/s10998-010-2127-y

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  • DOI: https://doi.org/10.1007/s10998-010-2127-y

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