Title :
Representation of elements in F2m enabling unified field arithmetic for elliptic curve cryptography
Author :
Cilardo, A. ; Mazzeo, A. ; Mazzocca, N.
Author_Institution :
Comput. & Syst. Eng. Dept., Univ.´´ di Napoli Federico, Italy
fDate :
7/7/2005 12:00:00 AM
Abstract :
A change of representation for elements in F2m is proposed. The proposed representation is useful for architectures that implement unified Montgomery multiplication in finite fields F2m and Fp used for elliptic curve cryptography since it transforms a standard F2m multiplication into a Montgomery multiplication and comes at virtually no cost in terms of conversion operations.
Keywords :
cryptography; digital arithmetic; F2m; conversion operations; elliptic curve cryptography; finite fields; unified Montgomery multiplication;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20051353