Title :
Low-complexity linear array multiplier for normal basis of type-II
Author :
Lee, Chiou-Yng ; Chang, Chung-Jyi
Author_Institution :
ChungHwa Telecomm. Lab.
Abstract :
In many cryptographic applications, the finite field is usually defined as the normal basis representation, and accordingly, much research on fast implementation of such a basis are reported. By restricting the characteristics of an optimal normal basis (ONB) of type-II, we used the palindromic representation of type-II ONB to derive a linear array multiplier with a low-complexity architecture. The space complexity of the proposed multiplier can be reduced from O(m2) to O(m) as compared with the related normal basis multipliers
Keywords :
Galois fields; computational complexity; cryptography; digital arithmetic; matrix multiplication; cryptographic applications; finite field; linear array multiplier; low-complexity architecture; normal basis representation; optimal normal basis; palindromic representation; space complexity; type-II ONB; Arithmetic; Computer architecture; Delay effects; Elliptic curve cryptography; Elliptic curves; Galois fields; Hardware; High performance computing; Security; Telecommunications;
Conference_Titel :
Multimedia and Expo, 2004. ICME '04. 2004 IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
0-7803-8603-5
DOI :
10.1109/ICME.2004.1394534