Titlebook: Arithmetic of Finite Fields; First International Claude Carlet,Berk Sunar Conference proceedings 2007 Springer-Verlag Berlin Heidelberg 20

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Expert Oracle9i Database Administratione results can be applied also to CPUs with different granularity..We begin with separate routines for each operand size . to minimize performance penalties that have a bigger relative impact for shorter operands – such as those used to implement modern curve based cryptography. We then proceed to us

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Security, Forms, and Error Handling,pends on the choice of interpolation points and on the exact sequence of operations for evaluation and interpolation. If carefully tuned, it gives the fastest algorithm for a wide range of inputs..This work smoothly extends the Toom strategy to polynomial rings, with a focus on .. Moreover a method

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https://doi.org/10.1007/978-1-4302-3486-9that for some . with 0 ≤ . ≤ . − 1, the function . is a two to one map on a certain subset ..(.) of .(2.). We conjecture that .. is two to one on ..(.) if and only if (.,.) belongs to a certain list. For (.,.) in this list, .. is proved to be two to one. We also prove that if .. is two to one on ..(

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constitutional

https://doi.org/10.1007/978-1-4302-3742-6on can be used to efficiently generate optimal S-boxes fulfilling additional criteria. One result is that an S-box which is optimal against differential and linear attacks is always optimal with respect to algebraic attacks as well. We also classify all optimal S-boxes up to the so called CCZ equiva

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Indexing Myths and Best Practices,based on new point addition formulae that suit very well to exponentiation algorithms based on Euclidean addition chains. However finding small chains remains a very difficult problem, so we also develop a specific exponentiation algorithm, based on Zeckendorf representation (i.e. representing the s

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Indexing Myths and Best Practices,rve. Hereby, we consider real hyperelliptic curves of genus 2 given in affine coordinates for which the underlying finite field has characteristic > 3. These formulas are much faster than the optimized generic algorithms for real hyperelliptic curves and the cryptographic protocols in the real setti