Simple multiplication algorithm for a class of GF(2 n )
Fan
Abstract
Fan
Abstract
It is shown that if 2 is a primitive root mod prime n+1 and GF(2n) is generated by an irreducible all one polynomial (AOP) then a simple multiplication algorithm exists over the field GF(2n).
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It is shown that if 2 is a primitive root mod prime n+1 and GF(2n) is generated by an irreducible all one polynomial (AOP) then a simple multiplication algorithm exists over the field GF(2n).
Key concepts: GF(2), Multiplication (music), Simple (philosophy), Multiplication algorithm, Primitive polynomial, Prime (order theory), Finite field, Mathematics