dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorDias, Maurício Araújo
dc.creatorGouveia, Márcio Ricardo Alves [UNESP]
dc.creatorOliveira, José Raimundo de
dc.creatorMuñoz, Ignacio Bravo
dc.date2015-04-27T11:56:00Z
dc.date2015-04-27T11:56:00Z
dc.date2013
dc.date.accessioned2023-09-12T04:45:53Z
dc.date.available2023-09-12T04:45:53Z
dc.identifierhttp://www.diogenes.bg/ijam/contents/2013-26-2/10/
dc.identifierInternational Journal of Applied Mathematics, v. 26, n. 1, p. 241-262, 2013.
dc.identifier1311-1728
dc.identifierhttp://hdl.handle.net/11449/122754
dc.identifier10.12732/ijam.v26i2.10
dc.identifier7578944173575239
dc.identifier2740441033907310
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8772202
dc.descriptionThis paper presents the design of a high-speed coprocessor for Elliptic Curve Cryptography over binary Galois Field (ECC- GF(2m)). The purpose of our coprocessor is to accelerate the scalar multiplication performed over elliptic curve points represented by affine coordinates in polynomial basis. Our method consists of using elliptic curve parameters over GF(2163) in accordance with international security requirements to implement a bit-parallel coprocessor on field-programmable gate-array (FPGA). Our coprocessor performs modular inversion by using a process based on the Stein's algorithm. Results are presented and compared to results of other related works. We conclude that our coprocessor is suitable for comparing with any other ECC-hardware proposal, since its speed is comparable to projective coordinate designs.
dc.descriptionUniversidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, Sao Jose do Rio Preto, Rua Cristóvão Colombo, 2265, Jardim Nazareth, CEP 15054-000, SP, Brasil
dc.descriptionUniversidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, Sao Jose do Rio Preto, Rua Cristóvão Colombo, 2265, Jardim Nazareth, CEP 15054-000, SP, Brasil
dc.descriptionDepartment of Mathematics and Computation School of Science and Technology São Paulo State University (UNESP) Roberto Simonsen street, 305 Presidente Prudente, SP, 19060-900, BRAZIL
dc.descriptionDepartment of Computer Engineering and Industrial Automation School of Electrical and Computer Engineering State University of Campinas (UNICAMP) Av. Albert Einstein, 400, Cid. Universitária Zeferino Vaz Distrito Barão Geraldo, Campinas, SP, 13083-852, BRAZIL
dc.descriptionElectronics Department University Alcala DO-217. Polytechnic School Ctra. Madrid - Barcelona km. 33.6 Alcalá de Henares, Madrid, 28871, SPAIN
dc.format241-262
dc.languageeng
dc.relationInternational Journal of Applied Mathematics
dc.rightsAcesso aberto
dc.sourceCurrículo Lattes
dc.subjectelliptic curves
dc.subjectGF(2m)
dc.subjectcryptography
dc.subjectbit-parallel
dc.subjectcoprocessor
dc.subjectFPGA
dc.titleBit-parallel coprocessor for standard ECC-GF(2m) on FPGA
dc.typeArtigo


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