G.R. (Ruud) Pellikaan

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G.R. (Ruud) Pellikaan

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  • 1171
    Citations - based on content available in repository [source: Scopus]
1988 …2022

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  • 2018

    The Poincaré polynomial of a linear code

    Galindo, C., Hernando, F., Montserrat, F. & Pellikaan, G. R., 18 Sept 2018, Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday. Greuel, G.-M., Narváez Macarro, L. & Xambó-Descamps, S. (eds.). Cham: Springer, p. 525-535 11 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

    1 Downloads (Pure)
  • 2013

    Codes, arrangements and matroids

    Jurrius, R. P. M. J. & Pellikaan, G. R., 2013, Algebraic geometry modeling in information theory. Martínez-Moro, E. (ed.). London: World Scientific, p. 219-325 336 p. (Series on Coding Theory and Cryptology; vol. 8).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

    1 Downloads (Pure)
  • 2010

    Decoding and finding the minimum distance with Gröbner bases : history and new insights

    Bulygin, S. & Pellikaan, G. R., 2010, Selected topics in information and coding theory. Woungang, I., Misra, S. & Misra, S. C. (eds.). London: World Scientific, p. 585-622 (Series on coding theory and cryptology; vol. 7).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

    3 Citations (Scopus)
    1 Downloads (Pure)
  • 2009

    Decoding linear error-correcting codes up to half the minimum distance with Gröbner bases

    Bulygin, S. & Pellikaan, G. R., 2009, Gröbner Bases, Coding, and Cryptography. Sala, M., Mora, T., Perret, L., Sakata, S. & Traverso, C. (eds.). Berlin: Springer, p. 361-365 (Texts and Monographs in Symbolic Computation).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

    3 Citations (Scopus)
    1 Downloads (Pure)
  • 1999

    Gröbner bases for codes

    Boer, de, M. A. & Pellikaan, G. R., 1999, Some tapas of computer algebra. Cohen, A. M., Cuypers, H. & Sterk, H. (eds.). Berlin: Springer, p. 237-259 (Algorithms and Computations in Mathematics; vol. 4).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • Gröbner bases for decoding

    Boer, de, M. A. & Pellikaan, G. R., 1999, Some tapas of computer algebra. Cohen, A. M., Cuypers, H. & Sterk, H. (eds.). Berlin: Springer, p. 260-275 (Algorithms and Computation in Mathematics; vol. 4).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • The Golay codes

    Boer, de, M. A. & Pellikaan, G. R., 1999, Some tapas of computer algebra. Cohen, A. M., Cuypers, H. & Sterk, H. (eds.). Berlin: Springer, p. 338-347 (Algorithms and Computation in Mathematics; vol. 4).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • 1998

    Algebraic geometry codes

    Høholdt, T., van Lint, J. H. & Pellikaan, G. R., 1998, Handbook of Coding Theory, vol. 1. Pless, V. S. & Huffman, W. C. (eds.). Amsterdam: Elsevier, p. 871-961

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

  • On the Klein quartic, the Fano plane and curves representing designs

    Pellikaan, G. R., 1998, Codes, curves and signals: Common threads in communications. Vardy, A. (ed.). Dordrecht: Kluwer Academic Publishers, p. 9-20

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • 1996

    On special divisors and the two variable zeta function of algebraic curves over finite fields

    Pellikaan, G. R., 1996, Arithmetic, Geometry and Coding Theory. Pellikaan, G. R., Perret, M. & Vladut, S. G. (eds.). Berlijn: Walter de Gruyter GmbH, p. 175-184

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

  • The shift bound for cyclic, Reed-Muller and geometric Goppa codes

    Pellikaan, G. R., 1996, Arithmetic, Geometry and Coding Theory. Pellikaan, G. R., Perret, M. & Vladut, S. G. (eds.). Berlijn: Walter de Gruyter GmbH, p. 155-174

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

  • 1991

    On complete conditions in enumerative geometry

    Pellikaan, G. R., 1991, Singularity Theory and its Applications (Warwick 1989, Part I: Geometric Aspects of Singularities). Mond, D. & Montaldi, J. (eds.). Berlin: Springer, p. 235-257 (Lecture Notes in Mathematics; vol. 1462).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review