Download PDF by Rajat Subhra Chakraborty, Vashek Matyas, Patrick Schaumont: Security, Privacy, and Applied Cryptography Engineering: 4th

By Rajat Subhra Chakraborty, Vashek Matyas, Patrick Schaumont

ISBN-10: 331912059X

ISBN-13: 9783319120591

ISBN-10: 3319120603

ISBN-13: 9783319120607

This e-book constitutes the refereed court cases of the 4th overseas convention on defense, privateness, and utilized Cryptography Engineering held in Pune, India, in October 2014. the nineteen papers awarded including invited papers have been rigorously reviewed and chosen from sixty six submissions. The papers are prepared in topical sections on cryptographic development blocks; mini instructional; assaults and countermeasures; instruments and techniques; and safe platforms and applications.

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Extra info for Security, Privacy, and Applied Cryptography Engineering: 4th International Conference, SPACE 2014, Pune, India, October 18-22, 2014. Proceedings

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Enge and J. Milan Table 2. 2. For each curve family in Table 2, such short vectors are given in Table 11. Notice that for E17 and E24 , the ate pairings are already optimal, and that for d ∈ {3, 4, 6} and moreover for E24 , the twisted optimal pairings are exactly the twisted ate pairings. 1. This allows to compute fx,P alongside xP in a standard double-andadd fashion, resulting in the special case of Algorithm 1 in which all digits xi are 0 or 1. To avoid field inversions, the numerator and the denominator of the function are kept separate; the correctness of the algorithm may be derived from xi+j+1 2j .

Bordeaux, IMB, 33400 Talence, France ´ INRIA, CNRS, UMR 7161, Ecole polytechnique, LIX, 91128 Palaiseau, France 2 Abstract. This study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that optimal ate and twisted ate pairings exist and can be efficiently evaluated. We provide a correct description of Miller’s algorithm for signed binary expansions such as the NAF and extend a recent variant due to Boxall et al.

The final result is then obtained by multi-exponentiation with the exponents λi,j . The exact complexity of this step depends on the length of an addition sequence passing through all of the λi,j . If Λ = max |λi,j |, then the best rigorous bound currently available is log2 Λ + deg N (x)O(log Λ/ log log Λ), where deg N (x) is the number of potentially different values of λi,j , realised, for instance, by [24]. In practice, the coefficients are small, and there are addition sequences with only few additional terms, see Table 12, leading to a heuristic complexity of O(deg N (x)) multiplications.

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Security, Privacy, and Applied Cryptography Engineering: 4th International Conference, SPACE 2014, Pune, India, October 18-22, 2014. Proceedings by Rajat Subhra Chakraborty, Vashek Matyas, Patrick Schaumont


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