Geometric Codes


    Geometric Reed-Solomon codes of length 64 and 65 over F8,
    with Chien-Yu Chen, IEEE Trans. on Inform. Theory, vol. 49, pp. 1351-1353, May 2003. [.ps]

    Reed-Muller codes on complete intersections, with Renteria, C. and Tapia-Recillas, H., AAECC, vol. 11, pp. 455-462, 2001. [.ps]

    Monomial embeddings of the Klein curve, Discrete Mathematics, Guest-Ed. G. Faina, vol.208/209, pp.235-246, October 1999. [.ps]

    Weight distributions of geometric Goppa codes, Transactions of the AMS, vol. 351, pp. 3609-3639, September 1999. [.ps]

    Majority coset decoding, IEEE Trans. on Inform. Theory, vol. 39, pp. 1067-1070, 1993.

    Algebraic decoding using special divisors, IEEE Trans. on Inform. Theory, vol. 39, pp. 694-698, 1993.

    Interpolation and approximation in decoding, Proceedings IEEE Information Theory Workshop,
    Killarney, Ireland, 1 page, June 1998.

    Quadratic residue codes and hyperelliptic curves, Thirty-Fifth Annual Allerton Conference on Communication, Control, and Computing, 
    Monticello, Illinois, USA, pp.41-43, October 1997.

    On termination criteria for decoding algorithms, Proceedings EIDMA Winter Meeting,
    Veldhoven, The Netherlands, 2 pages, December 1994.

    Average weight distributions for AG-codes,
    Proceedings Algebraic and Combinatorial Coding Theory IV,
    Novgorod, Russia, September 1994.

    On erasure decoding of AG-codes,
    Proceedings IEEE Information Theory Workshop,
    Moscow, Russia, 7 pages, July 1994.

    Partition designs on divisor class groups and weight distributions, Proceedings Joint Russian-Swedish Workshop on Information Theory VI,
    M"olle, Sweden, pp.128-131, August 1993.

    On the decoding procedure of Feng and Rao, Proceedings Algebraic and Combinatorial Coding Theory III,
    Voneshta Voda, Bulgaria, pp.64-67, June 1992.

    Geometric Goppa codes, 12 pages,
    Chapter in: "Error-correcting codes: a first course," H. van Tilborg, 
    Lund Studentlitteratur, 1993.

    Decoding codes from curves and cyclic codes,
    Thesis, Technical University Eindhoven, xiv+98 pages, September 1993. 
    Advisors: J. H. van Lint and H. Stichtenoth (University of Essen), Coadvisor: G. R. Pellikaan. [.ps]

    The geometry of the flexpoints of the Klein curve, 6 pages, May 1995.

    Decoding linear codes, Preprint CNRS UPR-9016, 
    Luminy, France, 10 pages, April 1994.

    Weight enumerators for codes from the Klein quartic, 5 pages, November 1993. [ps]