Title
Efficient Square-based Montgomery Multiplier for All Type C.1 Pentanomials.
Abstract
In this paper, we present a low complexity bit-parallel Montgomery multiplier for GF(2(m)) generated with irreducible Type C.1 pentanomials x(m) + x(m-1) + x(k) + x + 1. Based on a combination of generalized polynomial basis (GPB) squarer and a newly proposed square-based divide and conquer approach, we can partition field multiplication into a composition of sub-polynomial multiplications and Montgomery/GPB squarings, which have simpler architecture and thus can be implemented efficiently. Consequently, the proposed multiplier roughly saves 1/4 logic gates compared with the fastest multipliers, while the time complexity matches previous multipliers using divide and conquer algorithms.
Year
DOI
Venue
2018
10.1109/ACCESS.2018.2806003
IEEE ACCESS
Keywords
DocType
Volume
Bit-parallel,montgomery multiplication,squaring,type C.1 pentanomial
Journal
6
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Yin Li11615.52
Xingpo Ma201.69
Qing Chen3228.74
Chuanda Qi4146.01