• 794 Citations
1988 …2019

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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, 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

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

2015

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
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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

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

2014

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

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

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

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

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
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56 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
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69 Downloads (Pure)
2009

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

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
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7 Citations (Scopus)
78 Downloads (Pure)
2002

Integral closures and weight functions over finite fields

Leonard, D. A. & Pellikaan, G. R., 2002, Proceedings 2002 IEEE International Symposium on Information Theory (ISIT'02). Piscataway: Institute of Electrical and Electronics Engineers, p. 59-59 1 p.

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

1999

Doing more with fewer bits

Brouwer, A. E., Pellikaan, G. R. & Verheul, E. R., 1999, Advances in Cryptology - ASIACRYPT '99 (Proceedings International Conference on the Theory and Applications of Cryptology and Information Security, Singapore, November 14-18, 1999). Lam, K. Y., Okamoto, E. & Xing, C. P. (eds.). Berlin: Springer, p. 321-332 (Lecture Notes in Computer Science; vol. 1716).

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

20 Citations (Scopus)
1998

Trinomial curves with many rational points

Beelen, P. H. T. & Pellikaan, G. R., 1998, Proceedings Information Theory Workshop (IWT 1998, Killarney, Ireland, June 22-26, 1998). Institute of Electrical and Electronics Engineers, p. 38-39 2 p. 706401

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

1997

Generalized Hamming weights of q-ary Reed-Muller codes

Heijnen, P. W. & Pellikaan), G. R. R., 1997, Proceedings 1997 IEEE International Symposium on Information Theory (ISIT 1997, Ulm, Germany, June 29-July 4, 1997). Institute of Electrical and Electronics Engineers, p. 360- 1 p. 613295

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

2 Citations (Scopus)

On the missing functions of a pyramid of curves

Pellikaan, G. R., 1997, Proceedings 35th Allerton Conference on Communication, Control and Computing (Monticello IL, USA, September 29-October 1, 1997). Basar, T. & Vardy, A. (eds.). Urbana-Champaign: University of Illinois, p. 33-40

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

Order functions and evaluation codes

Høholdt, T., van Lint, J. H. & Pellikaan, G. R., 1997, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Proceedings 12th International Conference, AAECC-12, Toulouse, France, June 23-27, 1997). Mora, T. & Mattson, H. F. (eds.). Berlin: Springer, p. 138-150 (Lecture Notes in Computer Science; vol. 1255).

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

Open Access
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6 Citations (Scopus)
51 Downloads (Pure)
1996

Asymptotically good sequences of curves and codes

Pellikaan, G. R., 1996, Proceedings 34th Allerton Conference on Communication, Control and Computing (Allerton House, Urbana-Champaign IL, USA, October 2-4, 1996). p. 276-285

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

1994

Asymptotically good codes on algebraic curves

Pellikaan, G. R., 1994, Proceedings of the EIDMA Winter Meeting on Coding Theory, Information Theory and Cryptology (Veldhoven, The Netherlands, December 19-21, 1994). Willems, F. M. J. (ed.). Eindhoven: EIDMA, p. 47-

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

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

Pellikaan, G. R., 1994, Proceedings IEEE International Workshop on Information Theory (Moscow, 1994). p. 75-76

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

1993

Decoding geometric Goppa codes by using computer algebra

Pellikaan, G. R. & Shen, B. Z., 1993, Abstracts for IEEE Information Theory Workshop 1993 (Susono-Shi, Japan, 1993). p. 83-84

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

On the efficient decoding of algebraic-geometric codes

Munuera, C. & Pellikaan, G. R., 1993, Eurocode'92 (Proceedings 5th international symposium on coding theory, Udine, Italy, October 23-30, 1992). Camion, P., Charpin, P. & Harari, S. (eds.). 3: Springer, p. 231-253 (CISM Courses and Lectures; vol. 339).

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

Self-dual and decomposable geometric Goppa codes

Munuera, C. & Pellikaan, G. R., 1993, Eurocode'92 (Proceedings 5th international symposium on coding theory, Udine, Italy, October 23-30, 1992). Camion, P., Charpin, P. & Harari, S. (eds.). 3: Springer, p. 77-87 (CISM Courses and Lectures; vol. 339).

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

1992

On the gonality of curves, abundant codes and decoding

Pellikaan, G. R., 1992, Coding Theory and Algebraic Geometry (Proceedings of the International Workshop, Luminy, France, June 17-21, 1991). Stichtenoth, H. & Tsfasman, M. A. (eds.). Berlin: Springer, p. 132-144 (Lecture Notes in Mathematics; vol. 1518).

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

1991

On Porter's decoding algorithm of algebraic-geometric codes

Pellikaan, G. R. & Shen, B. Z., 1991, Proceedings of the 1991 IEEE International Symposium on Information Theory (Budapest, Hungary, 1991). p. 23-29

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

1989

Fitting ideals and multiple points of analytic mappings

Mond, D. & Pellikaan, G. R., 1989, Algebraic Geometry and Complex Analysis (Proceedings of the Workshop, Pátzcuaro, Michoacán, México, August 10-14, 1987). Ramirez de Arrellano, E. (ed.). Berlin: Springer, p. 107-161 (Lecture Notes in Mathematics; vol. 1414).

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

Series of isolated singularities

Pellikaan, G. R., 1989, Singularities (Proceedings of the IMA Conference, Iowa City IA, USA, July 28-August 1, 1986). Randell, R. (ed.). Providence RI: American Mathematical Society, p. 241-259 (Contemporary Mathematics Series; vol. 90).

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