Representation of elements in F/sub 2m/ enabling unified field arithmetic for elliptic curve cryptography

摘要

A change of representation for elements in F/sub 2m/ is proposed. The proposed representation is useful for architectures that implement unified Montgomery multiplication in finite fields F/sub 2m/ and F/sub p/ used for elliptic curve cryptography since it transforms a standard F/sub 2m/ multiplication into a Montgomery multiplication and comes at virtually no cost in terms of conversion operations.