Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
539698 | Integration, the VLSI Journal | 2014 | 10 Pages |
Author-Highlights••We propose a new bit-parallel polynomial basis multiplier for finite field.••We induce multipliers for types I and II pentanomials using presented approach.••The proposed multipliers for types I and II pentanomials have the lowest complexity.
We present a bit-parallel polynomial basis multiplier based on a new divide-and-conquer approach using squaring. In particular, we apply the proposed approach to special types of irreducible pentanomials called as types I and II pentanomials, and induce explicit formulae and complexities of the proposed multiplier for these types of pentanomials. As a result, the proposed multiplier for type I pentanomials has almost the same time complexity, but about 25% reduced space complexity compared with the best known results in the literature. For type II pentanomials, we obtain the multiplier which has the lowest time complexity and about 25% reduced space complexity than the best known polynomial basis multipliers.