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Journal Article Fast Bit-Parallel Polynomial Basis Multiplier for <i>GF</i>(2<i><sup>m</sup></i>) Defined by Pentanomials Using Weakly Dual Basis
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Authors
Sun-Mi PARK, Ku-Young CHANG, Dowon HONG, Changho SEO
Issue Date
2013-01
Citation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, v.E96.A, no.1, pp.322-331
ISSN
1745-1337
Publisher
일본, 전자정보통신학회 (IEICE)
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1587/transfun.E96.A.322
Abstract
In this paper, we derive a fast polynomial basis multiplier for GF(2'") defined by pentanomials jcusing the presented method by Park and Chang. The proposed multiplier has the time delay Ta + (2 + riog2(m - l)l)7x or Ta + (3 + riog2(m - l)l)7x which is the lowest one compared with known multipliers for pentanomials except for special types, where Ta and T\ denote the delays of one AND gate and one XOR gate, respectively. On the other hand, its space complexity is very slightly greater than the best known results. Copyright © 2013 The Institute of Electronics, Information and Communication Engineers.
KSP Keywords
AND gate, Information and communication, Polynomial basis, Space Complexity, Time Delay, Weakly dual basis, XOR gate, bit-parallel