Publications
Last modified 01/16/2010 (page no longer updated, use pub2012)
Minimum distance bounds for AG codes:

Interactive tables with bounds for the parameters of Hermitian, Suzuki and other codes
from curves (maintained by Radoslav Kirov)

Selected presentations:
Linear programming for secret sharing thresholds [pdf] (AMS meeting, Bllomington, April 6, 2008)
AG codes defined by divisors with base points [pdf] (AGCT12, Luminy, April 1, 2009)
An extension of the order bound for AG codes [pdf]
(AAECC18, Tarragona, June 9, 2009)
Codes from planes and curves, part 1 [pdf] part 2 [slideshow] (AAECC18, Tarragona, June 10, 2009)
Lower bounds on distances of improved twopoint codes [pdf] (Finite Fields and Applications, Dublin, July 21, 2009)
Distance bounds for AG codes [pdf] (Worksop on sequences, codes and curves, Antalya, September 28, 2009)

Selected publications:
Algebraic geometry codes: general theory, 48 pages, June 2008,
[.pdf] (Erratum)
Minimum distance of Hermitian twopoint codes, by Seungook Park, 21 pages, February 2009
[arXiv]
Coset bounds for algebraic geometric codes, with Seungkook Park, 36 pages, October 2008
[arXiv]
Submitted in two parts: Coset bounds for algebraic geometric codes [pdf],
to appear FFA,
Delta sets for divisors supported in two points[pdf]
An extension of the order bound for AG codes, with Radoslav Kirov, 11 pages, January 2009, in: Proceedings AAECC18.
[arXiv]
Distance bounds for algebraic geometric codes, with Radoslav Kirov and Seungkook Park, January 2010.
[arXiv]
 Twopoint coordinate rings for GKcurves , submitted.

Binomial moments for divisible selfdual codes [pdf], to appear.

A symmetric Roos bound for linear Codes, with Ruud Pellikaan, J. Combin. Theory Ser. A 113 (2006), no. 8, 16771688. (special issue in honor of Jack van Lint)
[.pdf]

The Vector Decomposition Problem for Elliptic and Hyperelliptic Curves, with Negar Kiyavash,
J. Ramanujan Math. Soc. 20 (2005), no. 1, 5976.
[.pdf] [.ps]
(scanned version in pdf of the paper [Yos03] by Yoshida)

A group key agreement protocol from pairings, with HyangSook Lee,
Appl. Math. Comput. 167 (2005), no. 2, 14511456.

Small weights in divisible codes, presented at Oberwolfach, December 2003,
full paper in preperation. [.pdf]
(version AMS/SMM  Houston: [.pdf])

Everywhere ramified towers of global function fields, with Bjorn Poonen and Michael Zieve,
Finite fields and applications, 148153, Lecture Notes in Comput. Sci., 2948, Springer, Berlin, 2004.

Combinatorics of the twovariable zeta function,
Finite fields and applications, 109136, Lecture Notes in Comput. Sci., 2948, Springer, Berlin, 2004
[.ps]

Tatepairing implementations for tripartite key agreement, with HyangSook Lee,
Advances in cryptologyASIACRYPT 2003, 111123, Lecture Notes in Comput. Sci., 2894,
Springer, Berlin, 2003.
[.ps]

Results on zeta functions for codes,
Fifth Conference on Algebraic Geometry, Number Theory, Coding Theory and Cryptography, University of Tokyo,
January 1719, 2003. [.ps]

Computing Symmetrized Weight Enumerators for Lifted Quadratic Residue Codes, with Greferath, M.,
Submitted. [.ps]

Geometric ReedSolomon codes of length 64 and 65 over F8,
with ChienYu Chen, IEEE Trans. on Inform. Theory, vol. 49, pp. 13511353, May 2003.
[.ps]

Bounds for completely decomposable Jacobians, with Enjalbert, J.Y.,
Finite fields with applications to coding theory, cryptography and related areas (Oaxaca, 2001), 8693,
Springer, Berlin, 2002.
[.ps]

Extremal weight enumerators and ultraspherical polynomials,
Discrete Mathematics, vol. 268, no. 13, pp. 103127, July 2003.
[.ps]

A Z8 linear lift of the binary golay code and a nonlinear binary (96,2^{37},24) code,
with Greferath, M., Litsyn, S.N., and Schmidt, S.E.,
IEEE Trans. on Inform. Theory, vol. 47, pp. 15961598, May 2001.
[.ps]

Twisted Klein curves modulo 2,
[.ps]

A Riemann hypothesis analogue for selfdual codes,
In: Codes and Association schemes, Eds. Barg and Litsyn, AMS Dimacs Series, vol. 56, pp. 115124, 2001.
[.ps]

From weight enumerators to zeta functions,
Discrete Applied Mathematics, vol. 111, no. 12, pp. 5573, 2001.
[.ps]

ReedMuller codes on complete intersections, with Renteria, C. and TapiaRecillas, H.,
AAECC, vol. 11, pp. 455462, 2001. [.ps]

Preparata codes through lattices,
IEEE Trans. on Inform. Theory, vol. 47, pp. 3644, January 2001.
[.ps]

On the optimal Z4 codes of type II and length 16 ,
with Greferath, M. and Schmidt, S.E., J. of Comb. Th. Ser. A, vol. 92, pp. 7782, 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.103121, November 1999.

Split weight enumerators for the Preparata codes with applications to designs,
with Helleseth, T., Rong, C. and Yang, K., Designs, Codes and Cryptography, vol. 18, pp. 103124, December 1999.
[.ps]

Monomial embeddings of the Klein curve,
Discrete Mathematics, GuestEd. G. Faina, vol.208/209, pp.235246, October 1999.
[.ps]

Weight distributions of geometric Goppa codes,
Transactions of the AMS, vol. 351, pp. 36093639, September 1999. [.ps]

Hyperelliptic cryptosystems from curves y^{2} = x^{p}x+1 over finite fields
of odd characteristic p, with Sakurai K.,
in: Coding theory, cryptography and related areas (Guanajuato, 1998), 7389, Springer, Berlin, 2000.
[.ps]

Cyclic subcodes of generalized ReedMuller codes, with Cherdieu, JP., Edouard, A. and Moreno, O.,
IEEE Trans. on Inform. Theory, vol. 44, pp. 307311, January 1998.

Translates of Z4linear codes, with Bonnecaze, A.,
IEEE Trans. on Inform. Theory, vol. 43, pp. 12181230, July 1997.
[.ps]
 Generalized Hamming weights for duals of BCH codes, and maximal algebraic function fields,
with Stichtenoth, H. and Voss, C.,
In: "Arithmetic, Geometry and Coding Theory,"
eds. Pellikaan, Perret, Vladuts, pp.5365, publ. deGruyter, Berlin, 1996.

Class numbers for some hyperelliptic curves,
In: "Arithmetic, Geometry and Coding Theory,"
eds. Pellikaan, Perret, Vladuts, pp.4552, publ. deGruyter, Berlin, 1996.
[.ps]

Errorlocating pairs for cyclic codes, with Koetter, R.,
IEEE Trans. on Inform. Theory, vol. 40, pp. 11081121, July 1994.
[.ps], [.pdf]

Majority coset decoding,
IEEE Trans. on Inform. Theory, vol. 39, pp. 10671070, 1993.

On the decoding procedure of Feng and Rao,
Proceedings Algebraic and Combinatorial Coding Theory III,
Voneshta Voda, Bulgaria, pp.6467, June 1992.

Algebraic decoding using special divisors,
IEEE Trans. on Inform. Theory, vol. 39, pp. 694698, 1993.

From weight enumerators to zeta functions,
ThirtySeventh Annual Allerton Conference on Communication, Control, and
Computing,
Monticello, Illinois, USA, September 1999. (Short version of journal article)
 Interpolation and approximation in decoding,
Proceedings IEEE Information Theory Workshop,
Killarney, Ireland, 1 page, June 1998.
 Quadratic residue codes and hyperelliptic curves,
ThirtyFifth Annual Allerton Conference on Communication, Control, and
Computing,
Monticello, Illinois, USA, pp.4143, October 1997.

Lattices and codes over rings, with Boutros, J.,
ThirtyFourth Annual Allerton Conference on Communication, Control, and Computing,
Monticello, Illinois, USA, pp.322324, October 1996.

The association scheme for the Preparata codes, with Bonnecaze, A.,
ThirtyThird Annual Allerton Conference on Communication, Control, and Computing,
Monticello, Illinois, USA, pp.908910, October 1995.

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

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

On erasure decoding of AGcodes,
Proceedings IEEE Information Theory Workshop,
Moscow, Russia, 7 pages, July 1994.
[.pdf]

Errorlocating pairs for cyclic codes, with Koetter, R.,
Proceedings Joint RussianSwedish Workshop on Information Theory VI,
M"olle, Sweden, pp.123127, August 1993. (Short version of journal article)
 Partition designs on divisor class groups and weight distributions,
Proceedings Joint RussianSwedish Workshop on Information Theory VI,
M"olle, Sweden, pp.128131, August 1993.
Other
 [65,13,36] code modulo 5, [Magma]
Brouwer Tables
 selfdual [32,16,11] over F4, [Magma] Brouwer Tables Gaborit Tables (selfdual codes)

Duursma, I. M., Distribution des r‰sidues quadratiques,
Seminar March 16, 2000. [.ps]
 Duursma, I. M., and Tolhuizen, L., Fouten verbeterende codes, 10 pages,
Chapter in: "Kaleidoscoop 2," (Dutch), Eds.: B. de Smit and J. Top,
publ. Epsilon, The Netherlands, 1998.
 Duursma, I. M., Geometric Goppa codes, 12 pages,
Chapter in: "Errorcorrecting codes: a first course," H. van Tilborg,
Lund Studentlitteratur, 1993.
 Duursma, I. M., 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] [.pdf] titlepage and stellingen
 Duursma, I.M., Some remarks on Goppa codes,
Master's thesis, Universiteit van Amsterdam, Advisor: G. van der Geer, February 1989.
(Maximal Fermat curves pdf,
A large Fermat code pdf,
Locator algorithm, MacWilliams pdf)
Unpublished
 Duursma, I.M., Zeta functions for linear codes, 12 pages, July 1997.
 Duursma, I. M., Twisted Klein curves in even characteristic, 5 pages,
March 1996.
 Duursma, I. M., The geometry of the flexpoints of the Klein curve, 6 pages,
May 1995.
 Duursma, I. M., Decoding linear codes, Preprint CNRS UPR9016
[.pdf] (also [.pdf])
Luminy, France, 10 pages, April 1994.
 Duursma, I. M., Additive problems over finite abelian groups, 13 pages,
March 1994.
 Duursma, I. M., Weight enumerators for codes from the Klein quartic, 5 pages,
November 1993.
[ps]