SUBQUADRATIC BINARY FIELD MULTIPLIER IN DOUBLE POLYNOMIAL SYSTEM

Pascal Giorgi; Christophe Nègre; Thomas Plantard

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Paper

SUBQUADRATIC BINARY FIELD MULTIPLIER IN DOUBLE POLYNOMIAL SYSTEM

Topics: Public Key Crypto Applications

In Proceedings of the Second International Conference on Security and Cryptography - Volume 0ICETE, 229-236, 2007 , Barcelona, Spain

Authors: Pascal Giorgi ¹ ; Christophe Nègre ¹ and Thomas Plantard ²

Affiliations: ¹ Équipe DALI, LP2A, Unversité de Perpignan, France ; ² Centre for Computer and Information Security Research, School of Computer Science & Software Engineering, University of Wollongong, Australia

Keyword(s): Binary Field Multiplication, Subquadratic Complexity, Double Polynomial System, Lagrange Representation, FFT, Montgomery reduction.

Related Ontology Subjects/Areas/Topics: Cryptographic Techniques and Key Management ; Information and Systems Security ; Public Key Crypto Applications

Abstract: We propose a new space efficient operator to multiply elements lying in a binary field F2k . Our approach is based on a novel system of representation called Double Polynomial System which set elements as a bivariate polynomials over F2 . Thanks to this system of representation, we are able to use a Lagrange representation of the polynomials and then get a logarithmic time multiplier with a space complexity of O(k1.31 ) improving previous best known method.

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Paper citation in several formats:

Giorgi, P.; Nègre, C. and Plantard, T. (2007). SUBQUADRATIC BINARY FIELD MULTIPLIER IN DOUBLE POLYNOMIAL SYSTEM. In Proceedings of the Second International Conference on Security and Cryptography (ICETE 2007) - SECRYPT; ISBN 978-989-8111-12-8; ISSN 2184-3236, SciTePress, pages 229-236. DOI: 10.5220/0002126102290236

@conference{secrypt07,
author={Pascal Giorgi. and Christophe Nègre. and Thomas Plantard.},
title={SUBQUADRATIC BINARY FIELD MULTIPLIER IN DOUBLE POLYNOMIAL SYSTEM},
booktitle={Proceedings of the Second International Conference on Security and Cryptography (ICETE 2007) - SECRYPT},
year={2007},
pages={229-236},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002126102290236},
isbn={978-989-8111-12-8},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the Second International Conference on Security and Cryptography (ICETE 2007) - SECRYPT
TI - SUBQUADRATIC BINARY FIELD MULTIPLIER IN DOUBLE POLYNOMIAL SYSTEM
SN - 978-989-8111-12-8
IS - 2184-3236
AU - Giorgi, P.
AU - Nègre, C.
AU - Plantard, T.
PY - 2007
SP - 229
EP - 236
DO - 10.5220/0002126102290236
PB - SciTePress