Fast exponentiation in GF 2n 1st Edition by GB Agnew, RC Mullin, SA Vanstone ISBN

Fast Exponentiation in GF(2^n) is an important topic in computational mathematics, especially in fields like cryptography and coding theory. The focus of this subject is on efficient algorithms for performing exponentiation in finite fields, specifically GF(2^n) (Galois Field of size 2^n), which is widely used in cryptographic algorithms like RSA, Elliptic Curve Cryptography (ECC), and in error-correcting codes such as Reed-Solomon codes.

Exponentiation in GF(2^n) involves raising an element (often a polynomial or matrix) to a certain power under modulo arithmetic in the field GF(2^n). The challenge lies in doing this efficiently, especially when n is large.