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On hardware and software implementation of arithmetic in finite fields of characteristic 7 for calculation of pairings |
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| Authors: | S B Gashkov A A Bolotov A A Burtsev S Yu Zhebet A B Frolov |
| Institution: | 1. Lomonosov Moscow State University, Moscow, Russia 2. LSI Corporation, Milpitas, California, USA 3. Moscow Institute of Physics and Technology (State University), Moscow, Russia 4. Moscow Power Engineering Institute (Technical University), Moscow, Russia |
| Abstract: | We study scheme (hardware) and program (software) methods of multiplication of polynomials over fields of characteristic 7 in order to apply them to pairing-based cryptographic protocols on hyperelliptic curves of genus three. We consider hardware and software implementations of arithmetic in GF(7), GF(72), GF(7 n ), GF(77n ), and GF(714n ) and estimate the complexity of corresponding schemes and programs. |
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