• Journal of the Korea Society of Computer and Information
• /
• v.17 no.3
• /
• pp.1-10
• /
• 2012

A low-complexity Multiplication over GF(2m) and multiplier circuit has been proposed by using cyclic-shift coefficients and the irreducible trinomial. The proposed circuit has the parallel input/output architecture and shows the lower-complexity than others with the characteristics of the cyclic-shift coefficients and the irreducible trinomial modular computation. The proposed multiplier is composed of $2m^2$ 2-input AND gates and m (m+2) 2-input XOR gates without the memories and switches. And the minimum propagation delay is $T_A+(2+{\lceil}log_2m{\rceil})T_X$. The Proposed circuit architecture is well suited to VLSI implementation because it is simple, regular and modular.