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Journal Article Fast Bit-Parallel Shifted Polynomial Basis Multiplier Using Weakly Dual Basis Over GF 2m
Cited 8 time in scopus Share share facebook twitter linkedin kakaostory
Authors
Sun-Mi Park, Ku-Young Chang
Issue Date
2011-12
Citation
IEEE Transactions on Very Large Scale Integration (VLSI) Systems, v.19, no.12, pp.2317-2321
ISSN
1063-8210
Publisher
IEEE
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1109/TVLSI.2010.2075946
Abstract
In this paper, we present a new method to compute the Mastrovito matrix for 2m generated by an arbitrary irreducible polynomial using weakly dual basis of shifted polynomial basis. In particular, we derive the explicit formulas of the proposed multiplier for special type of irreducible pentanomial xm+xk3+xk2+xk1+1 with k1 < k2 ?돞 (k1+k3)/2 < k3 < min (2k1,m/2). As a result, the time complexity of the proposed multiplier matches or outperforms the previously known results. On the other hand, the number of XOR gates of the proposed multiplier is slightly greater than the best known results. © 2006 IEEE.
KSP Keywords
Shifted polynomial basis(SPB), Time Complexity, Weakly dual basis, bit-parallel, irreducible polynomial, new method