An Efficient Finite Field Multiplier Using Redundant Representation

Author:

Namin Ashkan Hosseinzadeh1,Wu Huapeng1,Ahmadi Majid1

Affiliation:

1. University of Windsor

Abstract

An efficient word-level finite field multiplier using redundant representation is proposed. The proposed multiplier has a significantly higher speed, compared to previously proposed word-level architectures using either redundant representation or optimal normal basis type I, at the expense of moderately higher area complexity. Furthermore, the new design out-performs other similar proposals when considering the product of area and delay as a measure of performance. ASIC Realization of the proposed design using TSMC’s .18 um CMOS technology for the binary field size of 163 is also presented.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Association for Computing Machinery (ACM)

Subject

Hardware and Architecture,Software

Reference22 articles.

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1. Efficient Hybrid GF(2m) Multiplier for All-One Polynomial Using Varied Karatsuba Algorithm;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2021-03-01

2. A Fully Serial-In Parallel-Out Digit-Level Finite Field Multiplier in $\mathbb {F}_{2^{m}}$ Using Redundant Representation;IEEE Transactions on Circuits and Systems II: Express Briefs;2017-11

3. Digit-Level Serial-In Parallel-Out Multiplier Using Redundant Representation for a Class of Finite Fields;IEEE Transactions on Very Large Scale Integration (VLSI) Systems;2017-05

4. High-Throughput Finite Field Multipliers Using Redundant Basis for FPGA and ASIC Implementations;IEEE Transactions on Circuits and Systems I: Regular Papers;2015-01

5. Novel bit-parallel multiplier for defined by all-one polynomial using generalized Karatsuba algorithm;Information Processing Letters;2014-03

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