Title :
Operation-efficient subgroups of finite fields
Author :
Jeong, Sangtae ; Park, Young-Ho ; Oh, Sangho
Author_Institution :
Dept. of Math., Seoul Nat. Univ., South Korea
fDate :
7/19/2001 12:00:00 AM
Abstract :
A specific norm-1 subgroup of the whole multiplicative group in a quadratic extension field of a finite field is introduced and it is shown that like elliptic curves, the signed binary method is applicable to fast exponentiation in the proposed group
Keywords :
arithmetic; cryptography; cryptosystems; fast arithmetic; fast exponentiation; finite fields; multiplicative group; norm-1 subgroup; operation-efficient subgroups; quadratic extension field; signed binary method;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20010654
