Title
New efficient bit-parallel polynomial basis multiplier for special pentanomials
Abstract
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.
Year
DOI
Venue
2014
10.1016/j.vlsi.2013.03.001
Integration
Keywords
Field
DocType
type ii pentanomials,proposed multiplier,new efficient bit-parallel polynomial,special pentanomials,polynomial basis multiplier,ii pentanomials,bit-parallel polynomial basis multiplier,lowest time complexity,reduced space complexity,time complexity,irreducible pentanomials,finite field arithmetic
Polynomial basis,Explicit formulae,Algebra,Multiplier (economics),Finite field arithmetic,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
47
1
0167-9260
Citations 
PageRank 
References 
2
0.37
9
Authors
4
Name
Order
Citations
PageRank
Sun-Mi Park1181.97
Ku-Young Chang25514.89
Dowon Hong325947.25
Changho Seo49019.36