Hardware Implementation of Multiplication and Division Operations for Polynomials in Finite Fields

In this paper we prove it is necessary to implement hardware or hardware-software operations in Galois fields. Specifically, we demonstrate that hardware implementation is preferable for multiplication and division operations on polynomials with coefficients that belong to the finite field. It is also feasible to run these operations on separate functional units. We develop formulas that allow skipping summation cycles if the bars being summed contain zero values. Algorithms for evaluating the coefficients as well as the function unit diagram for multiplying and dividing the polynomials in the field are provided. We show that the hardware implementation of these operations in finite fields significantly increases computational efficiency.

Publication year: 
2012
Issue: 
5
УДК: 
681.3.04
С. 61—66. Іл. 5. Бібліогр.: 12 назв.
References: 

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