Title :
A parallel architecture for computing scalar multiplication on Hessian elliptic curves
Author :
Saqib, Nazar A. ; Rodríguez-Henriquez, Francisco ; Díaz-Perez, Arturo
Author_Institution :
Dept. of Electr. Eng., Centro de Investigacion y de Estudios Avanzados del IPN, Mexico City, Mexico
Abstract :
A parallel architecture for the computation of Hessian elliptic curve scalar multiplication over binary fields is presented. The architecture was designed as general as possible trying to make no assumptions about the specific hardware platform to be used by the designers. The idea of using parallel strategies was considered in every design stage and implemented as much as hardware resources allowed us to do it so. The design results reported allow us to compute GF(2191) elliptic curve scalar multiplication operations in about 114.7μ Secs.
Keywords :
Galois fields; cryptography; digital arithmetic; field programmable gate arrays; multiplying circuits; parallel architectures; reconfigurable architectures; Galois field; Hessian elliptic curves; binary fields; hardware resources; parallel architecture; scalar multiplication computing; Computer architecture; Computer science; Concurrent computing; Elliptic curve cryptography; Elliptic curves; Hardware; High performance computing; Parallel architectures; Timing; Very large scale integration;
Conference_Titel :
Information Technology: Coding and Computing, 2004. Proceedings. ITCC 2004. International Conference on
Print_ISBN :
0-7695-2108-8
DOI :
10.1109/ITCC.2004.1286702