DocumentCode :
3265506
Title :
A fast hardware implementation of multiplicative inversion in GF(2m)
Author :
Deng, Qiucheng ; Bai, Xuefei ; Guo, Li ; Wang, Yao
Author_Institution :
Dept. of Electron. Sci. & Technol., Univ. of Sci. & Technol. of China, Hefei, China
fYear :
2009
fDate :
19-21 Jan. 2009
Firstpage :
472
Lastpage :
475
Abstract :
In this paper, a fast hardware implementation of multiplicative inversion in GF(2m) using the optimal normal basis of type II is presented. The approach followed is based on the Sunar-Koc multiplier and the Itoh-Tsujii algorithm. Our design is able to compute multiplicative inversion in GF(2233) using only 26 clock cycles.
Keywords :
Galois fields; clocks; multiplying circuits; GF(2m); Itoh-Tsujii algorithm; Sunar-Koc multiplier; clock cycles; hardware implementation; multiplicative inversion; optimal normal basis; Arithmetic; Books; Clocks; Computer architecture; Elliptic curve cryptography; Galois fields; Hardware; Iterative algorithms; Reed-Solomon codes; Very large scale integration; Optimal normal basis; elliptic curve cryptography; finite field; multiplicative inversion;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Microelectronics & Electronics, 2009. PrimeAsia 2009. Asia Pacific Conference on Postgraduate Research in
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-4668-1
Electronic_ISBN :
978-1-4244-4669-8
Type :
conf
DOI :
10.1109/PRIMEASIA.2009.5397344
Filename :
5397344
Link To Document :
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