POLYNOMIAL-BASIS TO NORMAL-BASIS TRANSFORMATION FOR BINARY GALOIS-FIELDS GF(2m)

摘要

Basis conversion from polynomial-basis form to normal-basis form is provided for both generic polynomials and special irreducible polynomials in the form of "all ones", referred to as "all-ones-polynomials" (AOP). Generation and storing of large matrices is minimized by creating matrices on the fly, or by providing an alternate means of computing a result with minimal hardware extensions.