Titlebook: Arithmetic of Finite Fields; Third International M. Anwar Hasan,Tor Helleseth Conference proceedings 2010 Springer-Verlag Berlin Heidelber

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On the Efficiency and Security of Pairing-Based Protocols in the Type 1 and Type 4 Settingsport improved timings for Type 1 pairings derived from supersingular elliptic curves in characteristic 2 and 3 and the first timings for supersingular genus-2 curves in characteristic 2 at the 128-bit security level. In the case of Type 4 pairings, our main contribution is a new method for hashing i

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Solving Equation Systems by Agreeing and Learningw how to learn and store new knowledge about the system when a guess-and-verify technique is used for solving. Experiments are then presented, showing that our solving algorithm compares favorably to MiniSAT in many instances.

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Speeding Up Bipartite Modular Multiplicationof the art attacks on public-key cryptosystems, we show that the proposed set is safe to use in practice for both elliptic curve cryptography and RSA cryptosystems. We propose a hardware architecture for the modular multiplier that is based on our method. The results show that, concerning the speed,

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Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptographyld arithmetic. It is recognised that organising the extension field as a “tower” of subfield extensions has many advantages. Here we consider criteria that apply when choosing the best towering construction, and the associated choice of irreducible polynomials for the implementation of pairing-based

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Delaying Mismatched Field Multiplications in Pairing Computationss in the full extension field . are multiplied by elements contained in proper subfields ., and by elements in the base field .. We show that significant speedups in pairing computations can be achieved by delaying these “mismatched” multiplications for an optimal number of iterations. Importantly,

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Regenerating Codes for Distributed Storage Networkss a must to ensure reliability. Reed-Solomon codes possess the reconstruction property under which the stored data can be recovered by connecting to any . of the . nodes in the network across which data is dispersed. This property can be shown to lead to vastly improved network reliability over simp