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Titlebook: Arithmetic of Finite Fields; 6th International Wo Sylvain Duquesne,Svetla Petkova-Nikova Conference proceedings 2016 Springer International

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Sylvain Duquesne,Svetla Petkova-NikovaIncludes supplementary material:
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/b/image/161613.jpg
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Statement and PreparedStatement,cently showed that the Kachisa-Schafer and Scott family of elliptic curves with embedding degree 16 denoted KSS16 at the 192-bit security level is suitable for such protocols comparatively to the Baretto-Lynn and Scott family of elliptic curves of embedding degree 12 (BLS12). In this work, we provid
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Connection Pooling and Caching,tions with small coefficients (e.g. .) of the orbit elements of a point with respect to a given endomorphism of the curve. We investigate the linear complexity and the distribution of these sequences. The result on the linear complexity answers a question of Igor Shparlinski.
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Using Oracle Collections and References,-periodic binary sequence . with . whenever . is the sum of three integer squares. We show that it has a large .th linear complexity, which is necessary but not sufficient for unpredictability. However, it also has a very small expansion complexity and thus is rather predictable..Next we prove that
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https://doi.org/10.1007/978-1-4302-2669-7tivity of the binary operation for the composed product is not necessary. We then investigate binary operations defined by polynomial functions, and give a sufficient condition in terms of degrees for the requirement in the Brawley-Carlitz theorem.
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