Reduced complexity polynomial multiplier architecture for finite fields GF(2m)

Se Hyu Choi; Keon Jik Lee

doi:10.1587/elex.14.20160797

Reduced complexity polynomial multiplier architecture for finite fields GF(2^m)

Se Hyu Choi
, Keon Jik Lee

Department of Civil Engineering

GISTech Korea

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This letter presents a low-complexity semi-systolic array implementation for polynomial multiplication over GF(2^m). We consider finite field Montgomery modular multiplication (MMM) based on two-level parallel computing approach to reduce the cell delay, latency, and area-time (AT) complexity. Compared to related multipliers, the proposed scheme yields significantly lower AT complexity.

Original language	English
Article number	20160797
Journal	IEICE Electronics Express
Volume	14
Issue number	17
DOIs	https://doi.org/10.1587/elex.14.20160797
State	Published - 2017

Keywords

Finite field arithmetic
Modular multiplication
Systolic array

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10.1587/elex.14.20160797

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title = "Reduced complexity polynomial multiplier architecture for finite fields GF(2m)",

abstract = "This letter presents a low-complexity semi-systolic array implementation for polynomial multiplication over GF(2m). We consider finite field Montgomery modular multiplication (MMM) based on two-level parallel computing approach to reduce the cell delay, latency, and area-time (AT) complexity. Compared to related multipliers, the proposed scheme yields significantly lower AT complexity.",

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AU - Lee, Keon Jik

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N2 - This letter presents a low-complexity semi-systolic array implementation for polynomial multiplication over GF(2m). We consider finite field Montgomery modular multiplication (MMM) based on two-level parallel computing approach to reduce the cell delay, latency, and area-time (AT) complexity. Compared to related multipliers, the proposed scheme yields significantly lower AT complexity.

AB - This letter presents a low-complexity semi-systolic array implementation for polynomial multiplication over GF(2m). We consider finite field Montgomery modular multiplication (MMM) based on two-level parallel computing approach to reduce the cell delay, latency, and area-time (AT) complexity. Compared to related multipliers, the proposed scheme yields significantly lower AT complexity.

KW - Finite field arithmetic

KW - Modular multiplication

KW - Systolic array

UR - https://www.scopus.com/pages/publications/85029397838

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DO - 10.1587/elex.14.20160797

M3 - Article

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VL - 14

JO - IEICE Electronics Express

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Reduced complexity polynomial multiplier architecture for finite fields GF(2^m)

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