Cryptography


    The Vector Decomposition Problem for Elliptic and Hyperelliptic Curves, with Negar Kiyavash, J. Ramanujan Math. Soc. 20 (2005), no. 1, 59--76. [.pdf] [.ps] (scanned version in pdf of the paper [Yos03] by Yoshida)

    On the vector decomposition problem for m-torsion points on an elliptic curve, with Negar Kiyavash, Proceedings of the International Symposium on Information Theory, ISIT 2004.

    A group key agreement protocol from pairings, with Hyang-Sook Lee, Appl. Math. Comput. 167 (2005), no. 2, 1451--1456.

    Tate-pairing implementations for tripartite key agreement, with Hyang-Sook Lee, Advances in cryptology---ASIACRYPT 2003, 111--123, Lecture Notes in Comput. Sci., 2894, Springer, Berlin, 2003.
    Cryptology ePrint archive Report 2003/053. [.ps]

    Distribution des residues quadratiques, Seminar ENS Paris, March 16, 2000. [.ps]

    Speeding up the discrete log computation on curves with automorphisms, with Gaudry, P., and Morain, F., Advances in Cryptology - ASIACRYPT '99, Kwok Yan Lam, Eiji Okamoto, Chaoping Xing, Eds.,
    Springer LNCS 1716, pp.103-121, November 1999.

    Hyperelliptic cryptosystems from curves y2 = xp-x+1 over finite fields of odd characteristic p, with Sakurai K., in: Coding theory, cryptography and related areas (Guanajuato, 1998), 73--89, Springer, Berlin, 2000. [.ps]

    Class numbers for some hyperelliptic curves, In: "Arithmetic, Geometry and Coding Theory," eds. Pellikaan, Perret, Vladuts, pp.45-52, publ. deGruyter, Berlin, 1996. [.ps]