New bit-serial systolic multiplier for GF (2 m ) using irreducible trinomials
Menouer Diab, Alain Poli
Abstract
Menouer Diab, Alain Poli
Abstract
A bit-serial systolic architecture is presented for the product-sum computation P = AB + C in a finite field GF(2m) = GF(2)[x]/[F(x)], such that F(x) = xm + x + 1 is an irreducible trinomial over GF(2). It has a low complexity and does not require connections for the serial transfer of F(x).
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A bit-serial systolic architecture is presented for the product-sum computation P = AB + C in a finite field GF(2m) = GF(2)[x]/[F(x)], such that F(x) = xm + x + 1 is an irreducible trinomial over GF(2). It has a low complexity and does not require connections for the serial transfer of F(x).
Key concepts: Trinomial, GF(2), Finite field, Mathematics, Multiplier (economics), Arithmetic, Computation, Discrete mathematics