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We present explicit formulae and complexities of bit-parallel GF(2n) squarers for a new class of irreducible pentanomials xn+xn−1+xk+x+1, where n is odd and 1arer is bas...
In this paper, a new bit-parallel Montgomery multiplier for GF(2m) is presented, where the field is generated with an irreducible trinomial. We first present a slightly generalized version of a newly...
We show that the step “modulo the degree-n field generating irreducible polynomial” in the classical definition of the GF(2^n) multiplication operation can be avoided. This leads to an alternative rep...
By selecting the largest possible value of k∈(n/2,2n/3], we further reduce the AND and XOR gate complexities of the CRT-based hybrid parallel GF(2^n) polynomial basis multipliers for the irreduc...
In this contribution we introduce a low-complexity bit-parallel algorithm for computing square roots over binary extension fields. Our proposed method can be applied for any type of irreducible poly...

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