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Efficient Polynomial Basis Multipliers for Type-II Irreducible Pentanomials

Authors :
José Luis Imaña
Source :
IEEE Transactions on Circuits and Systems II: Express Briefs. 59:795-799
Publication Year :
2012
Publisher :
Institute of Electrical and Electronics Engineers (IEEE), 2012.

Abstract

Bit-parallel polynomial basis multipliers over the finite field GF(2m) generated using type-II irreducible pentanomials are considered in this brief. The bit-parallel multipliers presented here have the lowest delay known to date for similar multipliers based on this type of irreducible pentanomials, with a very small increase of XOR gates.

Subjects

Subjects :
Discrete mathematics
Algebra
Polynomial basis
Finite field
Logic gate
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Hardware_ARITHMETICANDLOGICSTRUCTURES
Electrical and Electronic Engineering
Type (model theory)
XOR gate
Mathematics

Details

ISSN :
15583791 and 15497747
Volume :
59
Database :
OpenAIRE
Journal :
IEEE Transactions on Circuits and Systems II: Express Briefs
Accession number :
edsair.doi...........d0d5d23da7b0e899756e9e6d3cf1a6c1
Full Text :
https://doi.org/10.1109/tcsii.2012.2222836
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