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On the typical values of the cross-correlation measure

Abstract : In order to study the pseudorandomness of families of finite binary sequences F ⊂ {−1, 1} N , Gyarmati, Mauduit and Sárközy introduced the cross-correlation measure Φ_k (F) of order k. In this paper we study the order of magnitude of the cross-correlation measure Φ_k (F) for typical families F.
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https://hal.inria.fr/hal-01276254
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László Mérai. On the typical values of the cross-correlation measure. WCC2015 - 9th International Workshop on Coding and Cryptography 2015, Anne Canteaut, Gaëtan Leurent, Maria Naya-Plasencia, Apr 2015, Paris, France. ⟨hal-01276254⟩

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