1996Electronics LettersRequires access

Simple multiplication algorithm for a class of GF(2 n )

Fan

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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).

About this research paper

What this paper is about

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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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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).

Key concepts: GF(2), Multiplication (music), Simple (philosophy), Multiplication algorithm, Primitive polynomial, Prime (order theory), Finite field, Mathematics

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