• 794 Citations
1988 …2019

Research output per year

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2018

The Poincaré polynomial of a linear code

Galindo, C., Hernando, F., Montserrat, F. & Pellikaan, G. R., 18 Sep 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 proceedingChapterAcademicpeer-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 proceedingChapterAcademic

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 proceedingChapterAcademic

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 proceedingChapterAcademic

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 proceedingChapterAcademic

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 proceedingChapterAcademic

1 Citation (Scopus)

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 proceedingChapterAcademic

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 proceedingChapterAcademicpeer-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 proceedingChapterAcademic

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 proceedingChapterAcademicpeer-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 proceedingChapterAcademicpeer-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 proceedingChapterAcademicpeer-review