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Arithmetic Operators for Pairing-Based Cryptography (2007)
| Content Provider | CiteSeerX |
|---|---|
| Author | Beuchat, Jean-Luc Okamoto, Eiji Detrey, Jérémie Brisebarre, Nicolas |
| Abstract | Since their introduction in constructive cryptographic applications, pairings over (hyper)elliptic curves are at the heart of an ever increasing number of protocols. Software implementations being rather slow, the study of hardware architectures became an active re-search area. In this paper, we first study an accelerator for the ηT pairing over F3[x]/(x 97 + x12 + 2). Our architecture is based on a unified arith-metic operator which performs addition, multiplication, and cubing over F397. This design methodology allows us to design a compact coprocessor (1888 slices on a Virtex-II Pro 4 FPGA) which compares favorably with other solutions described in the open literature. We then describe ways to extend our approach to any characteristic and any extension field. |
| File Format | |
| Publisher Date | 2007-01-01 |
| Access Restriction | Open |
| Subject Keyword | Compact Coprocessor Extension Field Unified Arith-metic Operator Cryptographic Hardware Constructive Cryptographic Ap-plications Open Literature Active Re-search Area Pairing-based Cryptography Virtex-ii Pro Arithmetic Operator |
| Content Type | Text |