Titlebook: Selected Areas in Cryptography; 14th International W Carlisle Adams,Ali Miri,Michael Wiener Conference proceedings 2007 Springer-Verlag Ber

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Collisions for 70-Step SHA-1: On the Full Cost of Collision Search,s very vague on this issue, which makes comparison even harder. In situations where differences in estimates of attack complexity of a small factor might influence short-term recommendations of standardization bodies, uncertainties and ambiguities in the literature amounting to a similar order of ma

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Koblitz Curves and Integer Equivalents of Frobenius Expansions,ormed to reduce the length of expansions, and .-adic Non-Adjacent Form (NAF) can be used to reduce the density. However, such modular reduction can be costly. An alternative to this approach is to use a random .-adic NAF, but some cryptosystems (e.g. ECDSA) require both the integer and the scalar mu

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Another Look at Square Roots (and Other Less Common Operations) in Fields of Even Characteristic,inomials discussed by Fong et al. [20]. We call such polynomials ...The main application is to point halving methods for elliptic curves (and to a lesser extent also divisor halving methods for hyperelliptic curves and pairing computations)..We note the existence of square root friendly trinomials o

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Efficient Explicit Formulae for Genus 2 Hyperelliptic Curves over Prime Fields and Their Implementanus 2 hyperelliptic curves defined over prime fields. Compared with naive method, the improved formula can save two field multiplications and one field squaring each time when the arithmetic is performed in the most frequent case. Furthermore, we present a variant which trades one field inversion fo

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