Low cost reconfigurable Elliptic Crypto-hardware

Author

Benselama, Zoubir Abdeslam ; Bencherif, Mohamed Abdelkader ; Khorissi, Nacereddine ; Bencherchali, Mohamed Amine

Author_Institution

Dept. of Electron., Saad Dahlab Univ., Blida, Algeria

fYear

2014

Firstpage

788

Lastpage

792

Abstract

In this paper, we present the design and implementation of an Elliptic Crypto-hardware over the Galois Field GF(2163) using Field Programmable Gate Arrays (FPGA), aiming to realize a comparative study in terms of space and speed through the different Xilinx technology families, such as the Spartan, the Virtex and the Kintex family. The proposed design is based on an optimized Karatsuba-Offman multiplier and a fixed set of squaring modules in the chain addition of the Itoh-Tsjuii algorithm. The obtained place and route (PAR) frequencies vary from 39 MHz within the Spartan 3, to 74MHz for the Virtex 4 and 133MHz for the Kintex 7. The designs have been compared to many stateof- the-art designs and showed good index performances.

Keywords

Galois fields; field programmable gate arrays; multiplying circuits; public key cryptography; reconfigurable architectures; FPGA; Galois field; Itoh-Tsjuii algorithm; Karatsuba-Offman multiplier; Kintex; PAR frequencies; Spartan; Virtex; Xilinx technology; elliptic crypto-hardware; field programmable gate arrays; place and route frequencies; squaring modules; Elliptic curve cryptography; Elliptic curves; Field programmable gate arrays; Galois fields; Hardware; Indexes; ECSM; Elliptic curve cryptography; FPGA; Galois; Montgomery; NIST;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Systems and Applications (AICCSA), 2014 IEEE/ACS 11th International Conference on

Type

conf

DOI

10.1109/AICCSA.2014.7073281

Filename

7073281