Publications of G.R. (Ruud) Pellikaan

See also the official website

92.    with C. Galindo , F. Hernando and F. Monserrat
The Poincare polynomial of a linear code
In Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
Festschrift for Antonio Campillo on the Occasion of his 65th Birthday
pp. 525-535, 2018

91.
On varieties and codes defined by quadratic equations
ACA 2016, Applications of Computer Algebra, 22 June 2018, Santiago de Compostela, Spain
CACTC 2018 Computer Algebra in Coding Theory and Cryptography
In Book of abstracts, p. 220-221

90.    with R. Jurrius
Defining the q-analogue of a matroid
The Electronic Journal of Combinatorics Volume 25, Issue 3, P3.2, 2018

89.    with P.H. Utomo
The coset leader weight enumerator of the product code of an [m,m-1,2] and an [n,n-1,2] code
Proceedings of the 2018 Symposium on Information Theory and Signal Processing in the Benelux
May 11 - June 1, 2018, Enschede, the Netherlands, L. Spreeuwers & J. Goseling (Eds.), pp. 193-202 , 2018

88.    with Arti D. Yardi
On shortened and punctured cyclic codes
arxiv 1705.09859v1

87.    with X.-W. Wu, S. Bulygin and R. Jurrius
Codes, Cryptology and Curves with Computer Algebra
Cambridge University Press, 2017

86.    with I. Marquez-Corbella
Is it hard to retrieve an error-correcting pair?
ACA 2016, Applications of Computer Algebra, 1 Aug 2016, Kassel, Germany
CACTC 2016 Computer Algebra in Coding Theory and Cryptography
In Booklet of abstracts, p. 234-236

85.    with P.H. Utomo
On the rate of the binary puzzle
International Conference on Graph Theory and Information Security ICGTIS
7-9 August 2017, Universitas Indonesia, Depok, Indonesia

84.    with C. Carlet, S. Mesnager C. Tang and Y. Qi
Linear codes over Fq are equivalent to LCD codes for q>3
IEEE Transactions on Information Theory, vol. 64 (4), pp. 3010-3017, 2018
DOI 10.1109/TIT.2018.2789347
Preliminary versions arxiv 1707.08856 and arxiv 1703.04346

83.    with P.H. Utomo and J.W. Knopper
Interactive learning in mathematics: Coding Theory and Discrete Algebra
Abstracts International Conference on Research and Education in Mathematics (ICREM)
11-13 August 2017, Institut Teknologi Bandung, pp. 79 , 2017

82.    with P.H. Utomo
Binary puzzles as an erasure decoding problem
Proceedings of the 2017 Symposium on Information Theory and Signal Processing in the Benelux
May 11-12, 2017, Delft, the Netherlands, R. Heusdens & J. H. Weber (Eds.), pp. 223-229 , 2017

81.    with I. Marquez-Corbella
Error-correcting pairs for a public-key cryptosystem
Journal of Physics: Conference Series 855 012032

80.    with U. Martínez-Peńas
Rank error-correcting pairs
Designs, Codes and Cryptography, vol. 84 (1–2), pp. 261–281, 2017
DOI 10.1007/s10623-016-0284-6

79.    with A. Couvreur and I. Marquez-Corbella
Cryptanalysis of McEliece cryptosystems based on algebraic geometry codes and their subcodes
IEEE Transactions on Information Theory, vol. 63 (8), pp. 5404 - 5418, 2017
DOI 10.1109/TIT.2017.2712636

78.    with R. Jurrius
On defining generalized rank weights
Advances in Mathematics of Communications, 632, pp. 229-252, 2015
DOI 10.3934/amc.2017014

77.    with I. Marquez-Corbella
A characterization of MDS codes that have an error correcting pair
Finite Fields and Their Applications, vol. 11 (1), pp. 225-235, 2017
DOI 10.1016/j.ffa.2016.04.004

76.    with I. Marquez-Corbella
Error-correcting pairs for a public-key cryptosystem
IICMA 2015, Proceedings IICMA 2015 The 3rd IndoMS International Conference on Mathematics and Its Applications
In Advanced Program Book IICMA 2015, p. 16

75.    with P.H. Utomo
On the rate of constrained arrays
IICMA 2015, Proceedings IICMA 2015 The 3rd IndoMS International Conference on Mathematics and Its Applications
In Abstract Book, p. 287

74.    with I. Marquez-Corbella
A characterization of MDS codes that have an error correcting pair
ACA 2015, Applications of Computer Algebra, 23 July 2015, Kalamata, Greece
CAMMFFAIT@ACA Computational Aspects and Mathematical Methods for Finite Fields
In Booklet of abstracts, p. 287

73.    with R. Jurrius
On defining generalized rank weights
ACA 2015, Applications of Computer Algebra, 23 July 2015, Kalamata, Greece
CAMMFFAIT@ACA Computational Aspects and Mathematical Methods for Finite Fields
In Booklet of abstracts A1-2A-04-011, p. 297

72.    with P.H. Utomo
Binary puzzles as an erasure decoding problem
Proceedings of the 36th WIC Symposium on Information Theory in the Benelux
J. Roland and F. Horlin. (Eds.), pp. 129-134 , 2015

71.    with R. Jurrius
The coset leader and list weight enumerator
In Topics in finite fields: 11th International Conference on Finite Fields and their Applications
G.M. Kyureghyan, G.L. Mullen and A. Pott (Eds.)
AMS, Contemporary Mathematics Series, 632, pp. 229-252, 2015

70.    with A. Couvreur and I. Marquez-Corbella
Cryptanalysis of public-key cryptosystems that use subcodes of algebraic geometry codes
4-th International Castle Meeting on Coding Theory and Applications 2014 4ICMCTA 2014, Palmela Castle Portugal
In Coding Theory and Application, CIM Series in Mathematical Sciences 3
R. Pinto, P.R. Malonek and P. Vettori (Eds.), Springer Int. Publishing, pp. 133-140.

69.    with R. Jurrius
The extended and generalized rank weight enumerator of a code
ACA 2014, Applications of Computer Algebra, 9 July 2014, Fordham University, New York
CACTC@ACA Computer Algebra in Coding Theory and Cryptography
In ACM Communications in Computer Algebra, 49(1), 21-21

68.    with I. Marquez-Corbella
Error correcting pair: a new approach to code-based cryptography
ACA 2014, Applications of Computer Algebra, 9 July 2014, Fordham University, New York
CACTC@ACA Computer Algebra in Coding Theory and Cryptography
In ACM Communications in Computer Algebra, 49(1), 21-21

67.    with A. Couvreur and I. Marquez-Corbella
A polynomial time attack against algebraic geometry code based public key cryptosystems
ISIT 2014, IEEE International Symposium on Information Theory, 1 July 2014 , Honolulu, Tu-PM2-6: Algebraic Coding Theory 1,

66.    with I. Marquez-Corbella and E. Martínez-Moro and D. Ruano
Computational aspects of retrieving a representation of an algebraic geometry code
Journal of Symbolic Computation vol. 64, pp. 67--87, 2014
DOI 10.1016/j.jsc.2013.12.007

65.    with I. Marquez-Corbella and E. Martínez-Moro
On the unique representation of very strong algebraic geometry codes.
Designs, Codes and Cryptography vol. 70, (1-2), pp. 215--230, 2014.
DOI 10.1007/s10623-012-9758-3

64.    with I. Marquez-Corbella
Error-correcting pairs and arrays from algebraic geometry codes .
Proceedings of Applications of Computer Algebra ACA 2013, 2 - 6 July 2013, Malaga, pp. 129 -- 132, 2013.

63.    with R. Jurrius
Codes, arrangements and matroids
in Series on Coding Theory and Cryptology vol. 8
Algebraic Geometry Modeling in Information Theory
E. Martínez-Moro Ed., pp. 219--325, World Scientific 2013

62.    with I. Marquez-Corbella and E. Martínez-Moro
The non-gap sequence of a subcode of a generalized Reed-Solomon code
Designs, Codes and Cryptography vol. 66, (1), pp. 317--333, 2013
DOI 10.1007/s10623-012-9694-2

61.    with R. Jurrius
Truncation formulas for invariant polynomials of matroids and geometric lattices
In the special issue on Matroids in Coding Theory and Related Topics
CanaDAM 2011, University of Victoria, 3 June 2011, Canada
Mathematics in Computer Science vol. 6 (2), pp. 121-133, 2012
DOI 10.1007/s11786-012-0118-5

60.    with I. Marquez-Corbella and E. Martínez-Moro and D. Ruano
Computational aspects of retrieving a representation of an algebraic geometry code.
SCC 2012, Third international conference on Symbolic Computation and Cryptography,
11-13 July 2012, CIEM - Castro Urdiales, Spain.

59.    with I. Marquez-Corbella
Error-correcting pairs for a public-key cryptosystem.
arXiv:1205.3647v1, CBC 2012 Code-based Cryptography Workshop 2012,
9–11 May 2012, Lyngby Denmark.

58.    with I. Marquez-Corbella and E. Martínez-Moro
Evaluation of public-key cryptosystems based on algebraic geometry codes.
Proceedings of the Third International Castle Meeting on Coding Theory and Applications, Cardona Castle in Cardona,
J. Borges and M. Villanueva Eds., September 11-15, Barcelona, pp. 199--204, 2011.

57.    with
I. Marquez-Corbella and E. Martínez-Moro
The non-gap sequence of a subcode of a generalized Reed-Solomon code.
Proceedings of the 7-th International Workshop on Coding and Cryptography WCC 2011
N. Sendrier, P. Charpin , M. Finiasz and A. Otmani Eds., April 11-15, Paris, pp. 183--193, 2011.

56.    with
A. Campillo, P. Fitzpatrick and E. Martínez-Moro
Editors of special issue of algebraic coding theory and applications,
Journal of Symbolic Computation vol. 45, No. 7, pp. 721--722, July 2010

55.    with S. Bulygin
Decoding and finding the minimum distance with Gröbner bases : history and new insights.
in Series on Coding Theory and Cryptology vol. 7
Selected Topics in Information and Coding Theory,
I. Woungang, S. Misra and S.C. Misra, Eds., vol. 7, pp. 585--622, World Scientific 2010.

54.    with R. Jurrius
The extended coset leader weight enumerator.
Proceedings of the 30th Symposium on Information Theory in the Benelux, WIC 2009,
Tj. Tjalkens and F. Willems Eds., May 28-29, Eindhoven, pp. 217-224, 2009.

53.    with R. Jurrius
Extended and generalized weight enumerators.
Proceedings of the International Workshop on Coding and Cryptography, WCC 2009, Ullensvang
A. Kholosha, E. Rosnes and M. Parker Eds., May 10-15, Selmer Center, Bergen, pp. 76-91, 2009.

52.    with S. Bulygin
Decoding linear error-correcting codes up to half the minimum distance with Gröbner bases.
In Gröbner Bases, Coding, and Cryptography, M. Sala, T. Mora, L. Perret, S. Sakata, and C. Traverso Eds.,
pp. 361-365, Springer, Berlin, 2009.

51.    with S. Bulygin
Bounded distance decoding of linear error-correcting codes with Groebner bases.
Journal of Symbolic Computation vol. 44, pp. 1626-1643, 2009.

50.    with M. Hochstenbach, R. Pendavingh, J. Perrenet and H. Sterk
Het Modulenboek; een nieuwe structuur voor het service-onderwijs wiskunde aan de TU/e.
Technical University Eindhoven, 37 pp. 2008.

49.    with Reza R. Farashahi and A. Sidorenko
Extractors for binary elliptic curves.
Designs, Codes and Cryptography vol. 49, pp. 171-186, 2008.
DOI 10.1007/s10623-008-9187-5

48.    with S. Bulygin
Decoding error-correcting codes with Groebner bases,.
Proceedings of the 28-th Symposium on Information Theory in the Benelux, WIC 2007,
R. Veldhuis, H. Cronie, H. Hoeksema, Eds., Enschede, May 24-25, pp. 3-10, 2007.

47.    with Reza R. Farashahi
The quadratic extension extractors for (hyper)elliptic curves in odd characteristic.
Lect. Notes in Comp. Sc. vol. 4547, pp. 219-236, 2007.

46.    with Reza R. Farashahi and A. Sidorenko
Extractors for binary elliptic curves.
Proceedings Int. Workshop on Coding and Cryptography 2007, April 16-20, Versailles,
D. Augot, N. Sendrier, J.-P. Tillich Eds., pp. 127-136, 2007.

45.    with I.M. Duursma
A symmetric Roos bound for linear codes.
In memory of J.H. van Lint.
Journal of Combinatorial Theory (Series A) vol. 113 (8), pp. 1677-1688, 2006.

44.    Editor of,
Proceedings of the 25-th Symposium on Information Theory in the Benelux,
Kerkrade, The Netherlands, June 2-4,
Werkgemeenschap voor Informatie- en Communicatietheorie,
Eindhoven, 2004, 264 pages.

43.    with X.-W. Wu,
List decoding of q-ary Reed-Muller codes,
IEEE Trans. Inform. Theory vol. 50, pp. 679-682, April 2004.
DOI 10.1109/TIT.2004.825043
Expanded version.

42.    with D.A. Leonard,
Integral closures and weight functions over finite fields,
Finite Fields and their Applications vol. 9 (4), pp. 479-504, 2003.

41.    with O. Geil,
On the structure of order domains,
Finite Fields and their Applications vol. 8, pp. 369-396, 2002.

40.   
On the existence of order functions,
Journal of Statistical Planning and Inference vol. 94, pp. 287-301, 2001.

39.    with P. Beelen,
The Newton-polygon of plane curves with many rational points,
Dedicated to J. Seidel in honour of his 80-th birthday, in memoriam,
Designs, Codes and Cryptography vol. 21, pp. 41-67, Oct. 2000.
DOI 10.1023/A:1008323208670
Prepublication: Trinomial curves with many rational points,
IEEE Information Theory Workshop 1998, Killarney, Ireland, June 22 - 26


38.    with A.E. Brouwer and E.R. Verheul,
Doing more with fewer bits,
Lect. Notes Comp. Science , vol. 1716, pp. 321-332,
Advances in Cryptology - Asiacrypt99, Springer-Verlag, Berlin 1999.

37.    with F. Torres,
On Weierstrass semigroups and the redundancy of improved geometric Goppa codes,
IEEE Trans. Inform. Theory vol. 45, pp. 2512-2519, Nov. 1999.
DOI 10.1109/18.796393

36.    with M. de Boer,
The Golay codes,
in "Some tapas of computer algebra" A.M. Cohen, H. Cuypers, H. Sterk Eds.,
Project 7, pp. 338-347, Springer-Verlag, Berlin 1999.

35.    with M. de Boer,
Gröbner bases for decoding,
in "Some tapas of computer algebra", A.M. Cohen, H. Cuypers, H. Sterk Eds.,
Chap. 11, pp. 260-275, Springer-Verlag, Berlin 1999.

34.    with M. de Boer,
Gröbner bases for codes,
in "Some tapas of computer algebra", A.M. Cohen, H. Cuypers, H. Sterk Eds.,
Chap. 10, pp. 237-259, Springer-Verlag, Berlin 1999.

33.    with T. Høholdt and J.H. van Lint,
An elementary approach to algebraic geometry codes,
in Proc. 29 Southeastern Conf. Combinatorics, Graph Theory and Computing,
Boca Raton, 1998, Congressus Numerantium vol. 135, pp. 25-35, 1998.

32.   
The Klein quartic, the Fano plane and curves representing designs,
Dedicated to R.E. Blahut in honour of his 60-th birthday,
in Codes, Curves, and Signals: Common Threads in Communications ,
A. Vardy, Ed., pp. 9-20, Kluwer Acad. Publ., Dordrecht 1998.

31.    with T. Høholdt and J.H. van Lint,
Algebraic geometry codes,
in Handbook of Coding Theory, vol 1, pp. 871-961,
V.S. Pless, W.C. Huffman and R.A. Brualdi Eds., Elsevier, Amsterdam 1998.
``Reading notes on section 3 ..." by P. Piret, Febr. 17, 2005
Correction


30.    with H. Stichtenoth and F. Torres,
Weierstrass semigroups in an asymptotically good tower of function fields,
Finite Fields and their Applications vol. 4, pp. 381-392, 1998.

29.    with P. Heijnen,
Geneneralized Hamming weights of q-ary Reed-Muller codes,
IEEE Trans. Inform. Theory vol. 44, 181-196, 1998.
DOI 10.1109/18.651015

28.   
On the missing functions of a pyramid of curves,
in Proc. 35th Allerton Conf. on Communication, Control, and Computing,
Urbana-Champaign, pp. 33-40, September 29 - October 1, 1997.

27.    with T. Høholdt and J.H. van Lint
Order functions and evaluation codes,
Lect. Notes Comp. Sc., vol. 1255, pp. 138-150, Springer, Berlin 1997

26.    with A. Blokhuis and T. Szonyi
Blocking sets of almost Redei type,
Journ. Comb. Theory, Series A, 78, (1997), 141-150

25.   
Asymptotically good sequences of curves and codes,
Proc. 34th Allerton Conf. on Communication, Control, and Computing, Urbana-Champaign, October 2-4, 1996, 276-285

24.   
On the existence of error-correcting pairs,
Journal of Statistical Planning and Inference 51 (1996) 229-242

22.   
On special divisors and the two variable zeta function of algebraic curves over finite fields,
Arithmetic, Geometry and Coding Theory 4, Luminy 1993, Walter de Gruyter & Co, Berlin 1996, 175-184

21.   
The shift bound for cyclic, Reed-Muller and geometric Goppa codes,
Arithmetic, Geometry and Coding Theory 4, Luminy 1993, Walter de Gruyter & Co, Berlin 1996, 155-174

20.    with C. Kirfel
The minimum distance of codes in an array coming from telescopic semigroups,
IEEE Transactions Information Theory, vol. 41, (1995), 1720--1732

19.    with T. Høholdt
On the decoding of algebraic-geometric codes,
IEEE Trans. Inform. Theory. IT-41 (1995), 1589--1614

18.    with C. Munuera
Equality of geometric Goppa codes and equivalence of divisors,
Journ. Pure Appl. Algebra 90 (1993), 229-252

17.   
On the efficient decoding of algebraic-geometric codes,
Eurocode 92, Udine, CISM Courses and Lectures 339, Springer, Wien, 1993, pp. 231-253

16.    with C. Munuera
Self-dual and decomposable geometric Goppa codes,
Eurocode 92, Udine, CISM Courses and Lectures 339, Springer, Wien, 1993, pp. 77-87

15.   
On decoding by error location and dependent sets of error positions,
Discrete Math. 106/107 (1992), 369-381
Dedicated to the 60-th birthday of J.H. van Lint
Preprint, Eindhoven University of Technology, 1988

14.   
On the gonality of curves, abundant codes and decoding,
in Coding Theory Algebraic Geometry, Luminy 1991, Lect. Notes Math. 1518, Springer, Berlin, 1992, 132-144