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- W180019437 abstract "In this paper, a new transform of ultimately periodic binary sequences, called a discrepancy transform, is introduced in terms of the Berlekamp-Massey algorithm. First, we show that the run property of the discrepancy sequences dominates the randomness of linear span profiles of the sequences. Then, using a modified version of the Berlekamp-Massey algorithm, we provide a method to construct a large family of nonlinear permutations of GF(2 n ). Thirdly, applying these permutations as filtering functions to filtering generators, we obtain that the resulting output sequences possess good randomness and have efficient implementations at both hardware and software." @default.
- W180019437 created "2016-06-24" @default.
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- W180019437 date "2006-01-19" @default.
- W180019437 modified "2023-09-26" @default.
- W180019437 title "Randomness and Discrepancy Transforms" @default.
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- W180019437 doi "https://doi.org/10.1007/1-4020-7987-7_1" @default.
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