• 794 Citations
1988 …2019

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Output

2019

Application of complementary dual AG codes to entanglement-assisted quantum codes

Pereira, F. R. F., Pellikaan, R., La Guardia, G. G. & De Assis, F. M., 1 Jul 2019, 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Piscataway: Institute of Electrical and Electronics Engineers, p. 2559-2563 5 p. 8849685

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Entanglement-assisted quantum codes from algebraic geometry codes

Fernandes Pereira, F., Pellikaan, R., Gadioli La Guardia, G. & de Assis, F. M., 2019, In : arXiv. 21 p., 1907.06357v1.

Research output: Contribution to journalArticleAcademic

Open Access
File
7 Downloads (Pure)

Entanglement-assisted quantum codes from algebraic geometry codes

Fernandes Pereira, F., Pellikaan, R., Gadioli La Guardia, G. & de Assis, F. M., 2019, Proceedings of the WCC 2019: The Eleventh International Workshop on Coding and Cryptography. 10 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Quantum BCH and reed-solomon entanglement-assisted codes

Fernandes Pereira, F. & Pellikaan, R., 2019, Proceedings of the 40th WIC Symposium on Information Theory in the Benelux . p. 102 1 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2018

Defining the q-analogue of a matroid

Jurrius, R. P. M. J. & Pellikaan, G. R., 13 Jul 2018, In : The Electronic Journal of Combinatorics. 25, 3, 32 p., #P3.2.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
4 Citations (Scopus)
20 Downloads (Pure)

Linear codes over Fq are equivalent to LCD codes for q>3

Carlet, C., Mesnager, S., Tang, C., Qi, Y. & Pellikaan, R., 1 Apr 2018, In : IEEE Transactions on Information Theory. 64, 4, p. 3010-3017 8 p.

Research output: Contribution to journalArticleAcademicpeer-review

44 Citations (Scopus)

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)
2017

Binary puzzle as a SAT problem

Utomo, P. H. & Pellikaan, G. R., 11 May 2017, Proceedings of the 2017 Symposium on Information Theory and Signal Processing in the Benelux.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

Binary puzzle as a SAT problem

Utomo, P. H. & Pellikaan, G. R., 2017.

Research output: Contribution to conferencePosterAcademic

Open Access
File
209 Downloads (Pure)

Codes, cryptology and curves with computer algebra

Pellikaan, G. R., Wu, X. W., Bulygin, S. & Jurrius, R. P. M. J., Nov 2017, Cambridge: Cambridge University Press. 597 p.

Research output: Book/ReportBookAcademic

6 Citations (Scopus)

Cryptanalysis of McEliece cryptosystem based on algebraic geometry codes and their subcodes

Couvreur, A., Marquez-Corbella, I. & Pellikaan, G. R., Aug 2017, In : IEEE Transactions on Information Theory. 63, 8, p. 5404-5418 15 p., 7942048.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
11 Citations (Scopus)
63 Downloads (Pure)

Error-correcting pairs for a public-key cryptosystem

Pellikaan, G. R. & Marquez-Corbella, I., 12 Jun 2017, In : Journal of Physics: Conference Series. 855, 1, 10 p., 012032.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
2 Citations (Scopus)
50 Downloads (Pure)

On defining generalized rank weights

Jurrius, R. & Pellikaan, G. R., 1 Feb 2017, In : Advances in Mathematics of Communications. 11, 1, p. 225-235 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)

Rank error-correcting pairs

Martinez-Penas, U. & Pellikaan, G. R., Jul 2017, In : Designs, Codes and Cryptography. 84, 1-2, p. 261-281 21 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
1 Citation (Scopus)
45 Downloads (Pure)
2016

A characterization of MDS codes that have an error correcting pair

Pellikaan, G. R. & Marquez-Corbella, I., Jul 2016, In : Finite Fields and their Applications. 40, p. 224-245 22 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
2 Citations (Scopus)
45 Downloads (Pure)
2015

A characterization of MDS codes that have an error correcting pair

Márquez-Corbella, I. & Pellikaan, G. R., 2015, s.n. 29 p. (arXiv; vol. 1508.02187 [math.AG])

Research output: Book/ReportReportAcademic

Open Access
File
65 Downloads (Pure)

Binary puzzles as an erasure decoding problem

Utomo, P. H. & Pellikaan, G. R., 2015, Proceedings of the 36th WIC Symposium on Information Theory in the Benelux (Brussels, Belgium, May 6-7, 2015). Roland, J. & Horlin, F. (eds.). Werkgemeenschap voor Informatie- en Communicatietheorie (WIC), p. 129-134

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Open Access
File
224 Downloads (Pure)

Cryptanalysis of public-key cryptosystems that use subcodes of algebraic geometry codes

Pellikaan, G. R., Marquez-Corbella, I. & Couvreur, A., 2015, Coding Theory and Applications: 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014. Pinto, R., Malonek, P. R. & Vetton, P. (eds.). Dordrecht: Springer, p. 133-140 8 p. (CIM Series in Mathematical Sciences ; vol. 3).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Error-correcting pairs : a new approach to code-based cryptography

Márquez-Corbella, I. & Pellikaan, G. R., 2015, In : ACM Communications in Computer Algebra. 49, 1, p. 21-21

Research output: Contribution to journalArticleAcademicpeer-review

The coset leader and list weight enumerator

Jurrius, R. P. M. J. & Pellikaan, G. R., 2015, Topics in finite fields : 11th International Conference on Finite Fields and their Applications (Fq11, Magdeburg, Germany, July 22-26, 2013). Kyureghyan, G. M., Mullen, G. L. & Pott, A. (eds.). s.l.: American Mathematical Society, p. 229-252 (Contemporary Mathematics Series; vol. 632).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

The extended and generalized rank weight enumerator of a code

Jurrius, R. P. M. J. & Pellikaan, G. R., 2015, In : ACM Communications in Computer Algebra. 49, 1, p. 21-21

Research output: Contribution to journalArticleAcademicpeer-review

2014

A polynomial time attack against algebraic geometry code based public key cryptosystems

Couvreur, A., Márquez-Corbella, I. & Pellikaan, G. R., 2014, s.n. 11 p. (arXiv.org; vol. 1401.6025 [cs.IT])

Research output: Book/ReportReportAcademic

Open Access
File
18 Citations (Scopus)
108 Downloads (Pure)

A polynomial time attack against algebraic geometry code based public key cryptosystems

Couvreur, A., Márquez-Corbella, I. & Pellikaan, G. R., 2014, 2014 IEEE International Symposium on Information Theory (ISIT'14, Honolulu HI, USA, June 29-July 4, 2014). Piscataway: Institute of Electrical and Electronics Engineers, p. 1446-1450

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

18 Citations (Scopus)

Application of hyperplane arrangements to weight enumeration

Jurrius, R. P. M. J. & Pellikaan, G. R., 2014, AMS Special Session on Hyperplane Arrangements and Applications 2014 (Part of Joint Mathematics Meetings, Baltimore MD, USA, January 15-18, 2014).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Computational aspects of retrieving a representation of an algebraic geometry code

Márquez-Corbella, I., Martínez-Moro, E., Pellikaan, G. R. & Ruano, D., 2014, In : Journal of Symbolic Computation. 64, p. 67-87 21 p.

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Cryptanalyse en temps polynomial du schéma de McEliece basé sur les codes géométriques

Couvreur, A., Márquez-Corbella, I. & Pellikaan, G. R., 2014, Journées Codage et Cryptographie 2014 (Les Sept Laux, France, March 24-28, 2014). Grenoble: Institut Fourier, p. 1-28

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Cryptanalysis of public-key cryptosystems that use subcodes of algebraic geometry codes

Couvreur, A., Márquez-Corbella, I. & Pellikaan, G. R., 2014, s.n. 8 p. (arXiv.org; vol. 1409.8220 [cs.IT])

Research output: Book/ReportReportAcademic

File
34 Downloads (Pure)

Error-correcting pairs : a new approach to code-based cryptography

Márquez-Corbella, I. & Pellikaan, G. R., 2014, Computer Algebra in Coding Theory and Cryptography (Special Session at 20th Conference on Applications of Computer Algebra, ACA 2014, New York NY, USA, July 9-12, 2014). Martínexz-Moro, E., Kotsireas, I. & Szabo, S. (eds.). Spain: University of Valladolid, p. 1-5

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

On the unique representation of very strong algebraic geometry codes

Márquez-Corbella, I., Martínez-Moro, E. & Pellikaan, G. R., 2014, In : Designs, Codes and Cryptography. 70, 1-2, p. 215-230 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

The extended and generalized rank weight enumerator of a code

Jurrius, R. P. M. J. & Pellikaan, G. R., 2014, Computer Algebra in Coding Theory and Cryptography (Special Session at 20th Conference on Applications of Computer Algebra, ACA 2014, New York NY, USA, July 9-12, 2014). Martínez-Moro, E., Kotsireas, I. & Szabo, S. (eds.). Valladolid: University of Valladolid, p. 1-5

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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)

Error-correcting pairs and arrays from algebraic geometry codes

Márquez-Corbella, I. & Pellikaan, G. R., 2013, Proceedings of Applications of Computer Algebra (ACA 2013, Málaga, Spain, July 2-6, 2013). Galán, J. L., Aguilera, G. & Rodríguez, P. (eds.). S.l.: IATED, p. 129-132

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Open Access
File
56 Downloads (Pure)

The non-gap sequence of a subcode of a generalized Reed-Solomon code

Márquez-Corbella, I., Martínez-Moro, E. & Pellikaan, G. R., 2013, In : Designs, Codes and Cryptography. 66, 1, p. 317-333

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)
1 Downloads (Pure)
2012

Cryptanalysis of public-key cryptosystems based on algebraic geometry codes

Márquez-Corbella, I., Martínez-Moro, E. & Pellikaan, G. R., 2012, Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. 17 p. (Oberwolfach Preprints; vol. OWP 2012-01)

Research output: Book/ReportReportAcademic

Error-correcting pairs for a public-key cryptosystem

Márquez-Corbella, I. & Pellikaan, G. R., 2012, s.n. 15 p. (arXiv.org; vol. 1205.3647 [cs.IT])

Research output: Book/ReportReportAcademic

Truncation formulas for invariant polynomials of matroids and geometric lattices

Jurrius, R. P. M. J. & Pellikaan, G. R., 2012, In : Mathematics in Computer Science. 6, 2, p. 121-133

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
1 Citation (Scopus)
73 Downloads (Pure)
2011

Evaluation of public-key cryptosystems based on algebraic geometry codes

Márquez-Corbella, I., Martínez-Moro, E. & Pellikaan, G. R., 2011, Proceedings of the Third International Castle Meeting on Coding Theory and Applications (3ICMTA, Cardona Castle, Barcelona, Spain, September 11-15, 2011). Borges, J. & Villanueva, M. (eds.). Barcelona: Servei de Publicacions de la Universitat Autònoma de Barcelona, p. 199-204

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

The non-gap sequence of a subcode of a generalized Reed-Solomon code

Márquez-Corbella, I., Martínez-Moro, E. & Pellikaan, G. R., 2011, Seventh International Workshop on Coding and Cryptography 2011 (WCC 2011, Paris, France, April 11-15, 2011). p. 1-10

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Open Access
File
69 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)

Foreword (Special issue on Algebraic coding theory and applications)

Campillo, A., Fitzpatrick, P., Martínez-Moro, E. & Pellikaan, G. R., 2010, In : Journal of Symbolic Computation. 45, 7, p. 721-722

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
2 Downloads (Pure)
2009

Bounded distance decoding of linear error-correcting codes with Gröbner bases

Bulygin, S. & Pellikaan, G. R., 2009, In : Journal of Symbolic Computation. 44, 12, p. 1626-1643

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

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)

Extended and generalized weight enumerators

Jurrius, R. P. M. J. & Pellikaan, G. R., 2009, International Workshop on Coding and Cryptography (WCC 2009, Ullensvang, Norway, May 10-15, 2009. Proceedings). Bergen: Selmer Center, University of Bergen, p. 76-91

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Downloads (Pure)

The extended coset leader weight enumerator

Jurrius, R. P. M. J. & Pellikaan, G. R., 2009, Proceedings 30th Symposium on Information Theory on the Benelux (Eindhoven, The Netherlands, May 28-29, 2009). Tjalkens, T. J. & Willems, F. M. J. (eds.). Eindhoven: Technische Universiteit Eindhoven, p. 217-224

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2008

Extractors for binary elliptic curves

Rezaeian Farashahi, R., Pellikaan, G. R. & Sidorenko, A., 2008, In : Designs, Codes and Cryptography. 49, 1-3, p. 171-186

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)
2007

Decoding error-correcting codes with Gröbner bases

Bulygin, S. & Pellikaan, G. R., 2007, Proceedings of the 28th Symposium on Information Theory in the Benelux, 24-25 May 2007, Enschede, The Netherlands. Veldhuis, R., Cronie, H. & Hoeksema, H. (eds.). Enschede: Universiteit Twente, p. 3-10

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Extractors for binary elliptic curves

Rezaeian Farashahi, R., Pellikaan, G. R. & Sidorenko, A., 2007, Proceedings of the International Workshop on Coding and Cryptography (WCC 2007), April 16-20 2007, Versailles, France. Augot, D., Sendrier, N. & Tillich, J-P. (eds.). p. 127-136

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

The quadratic extension extractor for (hyper)elliptic curves in odd characteristic

Rezaeian Farashahi, R. & Pellikaan, G. R., 2007, Proceedings of the First International Workshop on Arithmetic of Finite Fields (WAIFI 2007, Madrid, Spain, June 21-22, 2007). Carlet, C. & Sunar, B. (eds.). Berlin: Springer, p. 219-236 (Lecture Notes in Computer Science; vol. 4547).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Open Access
File
7 Citations (Scopus)
78 Downloads (Pure)
2006

A symmetric Roos bound for linear codes

Duursma, I. M. & Pellikaan, G. R., 2006, In : Journal of Combinatorial Theory, Series A. 113, 8, p. 1677-1688

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
8 Citations (Scopus)
1 Downloads (Pure)