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Journal Article Low Complexity Bit-Parallel Squarer for GF(2n) Defined by Irreducible Trinomials
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Authors
Sun Mi Park, Ku Young Chang
Issue Date
2006-09
Citation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, v.E89-A, no.9, pp.2451-2452
ISSN
1745-1337
Publisher
일본, 전자정보통신학회 (IEICE)
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1093/ietfec/e89-a.9.2451
Abstract
We present a bit-parallel squarer for GF(2n) defined by an irreducible trinomial xn + xk + 1 using a shifted polynomial basis. The proposed squarer requires T(X) delay and at most ?뙂n/2?뙃 XOR gates, where T(X) is the delay of one XOR gate. As a result, the squarer using the shifted polynomial basis is more efficient than one using the polynomial basis except for k = 1 or n/2. Copyright © 2006 The Institute of Electronics, Information and Communication Engineers.
KSP Keywords
Bit-parallel, Information and communication, Shifted polynomial basis(SPB), XOR gate, low-complexity