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Publications of Christophe Negre

Thesis

  1. C. Negre. Opérateurs Arithmétiques pour la Cryptographie Basée sur les Courbes Elliptiques. PhD thesis, Université Montpellier II, 2004. [bibtex-entry]


Articles in journal or book chapters

  1. C Negre. Efficient parallel multiplier in shifted polynomial basis. Journal of Systems Architecture, 53(2-3):109-116, 2007. [bibtex-entry]


  2. C. Negre. Finite field arithmetic using quasi-normal basis. Finite Fields and Their Applications, 13:635-647, 2007. [bibtex-entry]


  3. J.-C.Bajard, L. Imbert, and C. Negre. Arithmetic Operations in Finite Fields of Medium Prime Characteristic using Lagrange Representation. IEEE trans. comp., 55(9):1167-1177, sept 2006. [bibtex-entry]


Conference articles

  1. N. El Mrabet and C. Negre. Finite field multiplication combining AMNS and DFT approach for pairing cryptography. In Proceedings of Australasian Conference on Information Security and Privacy (ACISPP 09), 2009. Note: (to appear). [bibtex-entry]


  2. A. Hasan and C. Negre. Subquadratic Space Complexity Multiplier for a Class of Finite Fields Using Toeplitz Matrix Approach. In ARITH 19, 19th IEEE Symposium on Computer Arithmetic, 2009. Note: (to appear). [bibtex-entry]


  3. A. Hasan and C. Negre. Subquadratic Space Complexity Multiplication over Binary Fields with Dickson Polynomial Representation. In Proceedings of WAIFI 2008, Sienna, Italy, volume 5130 of LNCS, pages 88-102, 2008. [bibtex-entry]


  4. K.-H. Kim and C. Negre. Point Multiplication on Supersingular Elliptic Curves Defined over Fields of Characteristic 2 and 3. In SECRYPT'08, Porto, Portugal, pages 373-376, 2008. [bibtex-entry]


  5. C. Negre and T. Plantard. Efficient Modular Arithmetic in Adapted Modular Number System using Lagrange Representation. In Proceedings of Australasian Conference on Information Security and Privacy (ACISPP 08), volume 5107 of LNCS, pages 463-477, 2008. [bibtex-entry]


  6. Y.Li and C. Negre. An efficient multiplication algorithm using binomial residue representation. In SECRYPT'08, Porto, Portugal, pages 319-324, 2008. [bibtex-entry]


  7. P.Giorgi, C. Negre, and T. Plantard. Subquadratic Binary Field Multiplier in Double Polynomial System. In SECRYPT'07, Barcelona, Spain, pages 229-236, 2007. [bibtex-entry]


  8. C. Negre. Finite Field Multiplication in Lagrange Represenation Using Fast Fourrier Transform. In SECRYPT'06,Setúbal,Portugal, pages 320-323, August 2006. [bibtex-entry]


  9. C. Negre. Parallel Multiplication in GF($2^n$) using Condensed Matrix Representation. In SECRYPT'06, Setúbal,Portugal, pages 254-259, August 2006. [bibtex-entry]


  10. C. Negre. Exponentiation to the power p in GF($p^k$) using Variants of Montgomery Modular Arithmetic. In Proceedings of Nordsec 2005, Tartu Estonia, pages 71-83, October 2005. [bibtex-entry]


  11. C. Negre. Quadrinomial Modular Multiplication using Modified Polynomial Basis. In Proceedings of ITCC 2005, Las Vegas USA, volume 1 of LNCS, pages 550-555, April 2005. [bibtex-entry]


  12. C. Negre. Scalar Multiplication on Elliptic Curves Defined over Fields of Small Odd Characteristic. In Indocrypt 2005, Bangalore India, volume 3797 of LNCS, pages 389-402, December 2005. [bibtex-entry]


Internal reports

  1. Pascal Giorgi, Christophe Negre, and Thomas Plantard. Subquadratic Binary Field Multiplier in Double Polynomial System. Technical report, HAL-CCSD, April 2007. [WWW] [bibtex-entry]


  2. C. Negre and T. Plantard. Prime Field Multiplication in Adapted Modular Number System Using Lagrange Representation. Research Report ccsd-00079454, version 2, DALI, 2006. [bibtex-entry]


  3. J.-C. Bajard, L. Imbert, and C. Negre. Arithmetic Operations in Finite Fields of Medium Prime Characteristic using the Lagrange Representation. Technical report 05028, LIRMM, October 2005. [bibtex-entry]


  4. J.-C. Bajard, C. Negre, and T. Plantard. Double Polynomial Basis Representation For Binary Field Arithmetic. Technical report 5, DALI, July 2005. [bibtex-entry]


  5. C. Negre. Finite Field Arithmetic using Quasi-Normal Basis. Technical report 02, DALI, 2005. [bibtex-entry]



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Last modified: Thu May 13 12:44:47 2010
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