Titlebook: Arithmetic of Finite Fields; 8th International Wo Jean Claude Bajard,Alev Topuzoğlu Conference proceedings 2021 Springer Nature Switzerland

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Recursion Polynomials of Unfolded Sequencestempts of modification, legitimate users should not be aware that it is embedded in the media. One of the techniques for watermarking is using an special variant of spread-spectrum technique, called frequency hopping. It requires ensembles of periodic binary sequences with low off-peak autocorrelati

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On Subspaces of Kloosterman Zeros and Permutations of the Form f the inverse function. In this paper, we show that . cannot be a permutation on binary fields if the kernel of . or . is large. A key step of our proof is an observation on the maximal size of a subspace . of . that consists of Kloosterman zeros, i.e. a subspace . such that . for every . where . de

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Explicit Factorization of Some Period Polynomialsthat ., if 4|.. Also let . such that .. Assume that . or . is semiprimitive modulo .. Under these conditions, we are going to obtain the explicit factorization of the period polynomial of degree . for the finite field .. In fact, we will see that such polynomial has always integer roots, meaning tha

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