Title :
The Inverse Matrix for the Conversion Between Standard and Normal Bases
Author :
Jing, Ming-Haw ; Wang, Jyun-Min ; Chen, Zih-Heng ; Chen, Yan-Haw
Author_Institution :
Dept. of Inf. Eng., I-Shou Univ.
Abstract :
The mathematics of finite field has been widely applied on the design of core modules for cryptography systems. This paper presents one of the module designs of a VLSI computer aided design (CAD) system to bridge the gap between the finite field and the hardware for coding theory. It aims on the design automation of base-conversion between standard and normal bases. A random counter is proposed as the reference to do fast computation. This computation for the inverse matrix can be easily implemented by both software and hardware
Keywords :
VLSI; circuit CAD; coprocessors; cryptography; encoding; matrix algebra; VLSI computer aided design; base-conversion; coding theory; cryptography systems; finite field; inverse matrix; normal base; random counter; standard base; Application software; Bridges; Design automation; Elliptic curve cryptography; Equations; Galois fields; Gaussian processes; Hardware; Mathematics; Very large scale integration; base conversion; computer aided design; finite field; normal basis; standard basis;
Conference_Titel :
Circuits and Systems, 2006. APCCAS 2006. IEEE Asia Pacific Conference on
Conference_Location :
Singapore
Print_ISBN :
1-4244-0387-1
DOI :
10.1109/APCCAS.2006.342460
