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A novel approach for bit-serial AB2 multiplication in finite fields GF(2m)

Jun-Cheol Jeon, Kee-Won Kim, Kee-Young Yoo
2006 Computers and Mathematics with Applications  
This paper presents a new inner product AB 2 multiplication Mgorithm and effective hardware architecture for exponentiation in finite fields GF(2m).  ...  Accordingly, this paper proposes an efficient inner product multiplication algorithm based on an irreducible all one polynomial (AOP) and simple architecture, which has the same hardware equipment as Fenn's  ...  .-+ x + 1 be an irreducible AOP of degree m over GF (2) . p(x) can only be selected as an irreducible AOP for GF (2 m) if and only if (m + 1) is prime and 2 is the primitive modulo (m + 1).  ... 
doi:10.1016/j.camwa.2005.07.019 fatcat:nnzzdnm5fbasrgcl2ael4tivba