Publikationen
2022
On ideals in group algebras - an uncertainty principle and the Schur product
Borello, Martino; Willems, Wolfgang; Zini, Giovanni
In: Forum mathematicum - Berlin [u.a.]: de Gruyter . - 2022
On the algebraic structure of quasi-group codes
Borello, Martino; Willems, Wolfgang
In: Journal of algebra and its applications - Singapore [u.a.]: World Scientific Publ. . - 2022
2020
A note on linear complementary pairs of group codes
Borello, Martino; Cruz, Javier; Willems, Wolfgang
In: Discrete mathematics - Amsterdam [u.a.]: Elsevier, Volume 343(2020), issue 8, article 111905
Trivial intersection of blocks and nilpotent subgroups
Liu, Yanjun; Willems, Wolfgang; Xiong, Huan; Zhang, Jiping
In: Journal of algebra - San Diego, Calif.: Elsevier, Bd. 559.2020, S. 510-528
On Hilbert divisors of Brauer characters
Liu, Y.; Willems, Wolfgang
In: Journal of algebra - San Diego, Calif.: Elsevier, Bd. 558.2020, S. 595-610
Group codes over fields are asymptotically good
Borello, Martino; Willems, Wolfgang
In: Finite fields and their applications - Orlando, Fla. [u.a.]: Elsevier, Volume 68(2020), article 101738
2018
Quasi-projective Brauer characters
Liu, Yanjun; Willems, Wolfgang
In: Journal of algebra - San Diego, Calif.: Elsevier, 1964, Bd. 499.2018, S. 506-515
Self-duality of generalized twisted Gabidulin codes
Otal, Kamil; Özbudak, Ferruh; Willems, Wolfgang
In: Advances in mathematics of communications - Springfield, M.: AIMS, Bd. 12 (2018), 4, S. 707-721
On q-Steiner systems from rank metric codes
Arias, Francisco; Cruz, Javier; Rosenthal, Joachim; Willems, Wolfgang
In: Discrete mathematics - Amsterdam [u.a.]: Elsevier, 1971, Bd. 341.2018, 10, S. 2729-2734
2016
Algebraic structures of MRD codes
Cruz, Javier de la; Kiermaier, Michael; Wassermann, Alfred; Willems, Wolfgang
In: Advances in mathematics of communications : AMC. - Springfield, M : AIMS, Bd. 10.2016, 3, S. 499-510
On self-dual MRD codes
Nebe, Gabriele; Willems, Wolfgang
In: Advances in mathematics of communications : AMC. - Springfield, M : AIMS, Bd. 10.2016, 3, S. 633-642
Lie-type-like groups
Liu, Yanjun; Willems, Wolfgang
In: Journal of algebra - San Diego, Calif.: Elsevier, 1964, Bd. 447.2016, S. 432-444
On the automorphisms of order 15 for a binary self-dual [96,48,20] code
Willems, Wolfgang; Stefka Bouyuklieva,
In: Des. Codes Cryptogr. 79 (2016), 171 -182
2015
Quasi-projective and quasi-liftable characters
Willems, Wolfgang; Zalesski, A. E.
In: Journal of algebra - San Diego, Calif: Elsevier, Bd. 442.2015, S. 548-559
2014
On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups
Malevich, Anton; Willems, Wolfgang
In: Designs, codes and cryptography - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 70 (2014), Heft 1/2, S. 69-70
2013
On the dimensions of PIM's
Martinez-Pérez, Conchita; Willems, Wolfgang
In: Journal of group theory - Berlin : de Gruyter, Bd. 16 (2013), Heft 3, S. 397-417
Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24
Borello, Martino; Willems, Wolfgang
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 59.2013, 6, S. 3378-3383
On the automorphism group of a binary self-dual [120,60,24] code
Bouyuklieva, Stefka; Cruz, Javier de la; Willems, Wolfgang
In: Applicable algebra in engineering, communication and computing. - Berlin : Springer, insges. 14 S., 2013
Advances in mathematics of communications
Willems, Wolfgang
In: Springfield, Mo., AIMS, ISSN: 1930-5346, 24101990, 2013
On network codes and partial spreads
Cruz, Javier de la; Willems, Wolfgang
In: Optimal Codes and Related Topics. - Albena, S. 77-78, 2013Kongress: International Workshop on Optimal Codes and Related Topics; 7 (Albena, Bulgaria) : 2013.09.06-12
2012
5-designs related to binary extremal self-dual codes of length 24m
Cruz, Javier de la; Willems, Wolfgang
In: Theory and applications of finite fields - Providence, RI : American Math. Soc. ; Lavrauw, Michel *1974-* . - 2012, S. 75-80 Kongress: International Conference on Finite Fields and Applications 10 Ghent, Belgium 2011.07.11-15
Singly Even Self-Dual Codes With Minimal Shadow
Bouyuklieva, Stefka; Willems, Wolfgang
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 58.2012, 6, S. 3856-3860
Connections between different types of binary self-dual codes
Bouyuklieva, Stefka; Willems, Wolfgang
In: Algebraic and combinatorial coding theory. - Bulgarian Acad. of Science, S. 111-116, 2012Kongress: ACCT; 13 (Pomorie) : 2012.06.15-21
2011
The automorphism groups of binary extremal self-dual codes of length 24m
Cruz, Javier; Willems, Wolfgang
In: WCC 2011: seventh international workshop on coding and cryptography, April 11-15, 2011, Paris, France ; proceedings - INRIA, S. 229-232Kongress: WCC 2011 7 (Paris, France : 2011.04.11-15
On extremal self-dual codes of length 96
Cruz, Javier; Willems, Wolfgang
In: IEEE transactions on information theory: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization - Piscataway, NJ: IEEE, Bd. 57.2011, 10, S. 6820-6823
On the performance of binary extremal self-dual codes
Bouyuklieva, Stefka; Malevich, Anton; Willems, Wolfgang
In: Advances in mathematics of communications: AMC - Springfield, Mo: AIMS, Bd. 5.2011, 2, S. 267-274
On the automorphism group of a binary self-dual doubly even [72, 36, 16] code
O'Brien, E. A.; Willems, Wolfgang
In: IEEE transactions on information theory: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization - Piscataway, NJ: IEEE, Bd. 57.2011, 7, S. 4445-4451
Involutions, cohomology and metabolic spaces
Martínez-Pérez, Conchita; Willems, Wolfgang
In: Journal of algebra - San Diego, Calif: Elsevier, Bd. 327.2011, 1, S. 366-385
2010
On binary self-dual extremal codes
Willems, Wolfgang
In: 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 : 5 - 9 July, 2010, Budapest, Hungary ; proceedings. - Budapest, S. 303-304Kongress: MTNS 2010; 19 (Budapest, Hungary) : 2010.07.05-09[Beitrag auf CD-ROM]
Una introducción a la criptografía de clave pública
Willems, Wolfgang; García, Ismael Gutiérrez
In: , 2. ed.; Barranquilla, Colombia: Ediciones Uninorte; XI, 88 S., ISBN 978-958-825263-6, 2010
Lineare Algebra - mit zahlreichen Anwendungen in Kryptographie, Codierungstheorie, mathematischer Physik und stochastischen Prozessen
Huppert, Bertram; Willems, Wolfgang
In: Wiesbaden: Vieweg+Teubner, 2010, xv, 619 Seiten - (Lineare Algebra; Studium), ISBN: 978-3-8348-1296-4 [Literaturverzeichnis: Seiten 607-608; 1. Auflage unter dem Titel "Angewandte lineare Algebra" /Bertram Huppert, erschienen im Verlag de Gruyter 1990]
Brauer characters of prime power degrees and conjugacy classes of prime power lengths
Pham, Huu-Tiep; Willems, Wolfgang
In: Algebra colloquium - Singapore [u.a.] : World Scientific, Bd. 17 (2010), Heft 4, S. 541-548
Automorphisms of extremal self-dual codes
Bouyuklieva, Stefka; Malevich, Anton; Willems, Wolfgang
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 56.2010, 5, S. 2091-2096
2009
"Alles was zählt!" - der mathematische Blick
Bräsel, Heidemarie; Christoph, Gerd; Grunau, Hans-Christoph; Henk, Martin; Henning, Herbert; Kahle, Waltraud; Kaibel, Volker; Manteuffel, Karl; Pott, Alexander; Warnecke, Gerald; Willems, Wolfgang
In: Magdeburg: Univ., Fak. für Mathematik, 2009, Getr. Zählung, Ill., 29 cm - (Technical Report; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)
The trivial intersection problem for characters of principal indecomposable modules
Martinez-Pérez, Conchita; Willems, Wolfgang
In: Advances in mathematics - Amsterdam [u.a.] : Elsevier, Bd. 222 (2009), Heft 4, S. 1197-1219
On extremal codes with automorphisms
Bouyuklieva, Stefka; Malevich, Anton; Willems, Wolfgang
In: International Workshop on Optimal Codes and Related Topics . - Varna, S. 26-31, 2009Kongress: International Workshop on Optimal Codes and Related Topics; 6 (Varna) : 2009.06.16-22
2008
Codierungstheorie und Kryptographie
Willems, Wolfgang
In: Berlin [u.a.]: Birkhäuser, 2008, VIII, 152 S. - (Mathematik kompakt), ISBN: 978-3-7643-8611-5 [Literaturverz. S. [141] - 143]
Notes on automorphisms of extremal codes
Bouyuklieva, Stefka; Willems, Wolfgang
In: Algebraic and combinatorial coding theory . - Bulgarian Acad. of Science, S. 40-45, 2008Kongress: ACCT; 11 (Pamporovo, Bulgaria) : 2008.06.16-22
On morita theory for self-dual modules
Willems, Wolfgang; Zimmermann, Alexander
In: The quarterly journal of mathematics - Oxford : Oxford Univ. Press, Bd. 59 (2008), insges. 14 S.
Problemy i gipotezy v algebraičoj i kombinatornoj teorii pomechoustojčivogo kodirovanija
Willems, Wolfgang
In: Doklady BGUIR/ Belorusskij gosudarstvennyj universitet informatiki i radioėlektroniki - Minsk, 2008, Bd. 37.2008, 7, S. 4-10
Una introducción a la criptografía de clave pública
Willems, Wolfgang; García, Ismael Gutiérrez
In: Barranquilla, Colombia: Ediciones Uninorte, 2008, ix, 83 Seiten, ISBN: 978-958-8252-63-6
2007
Asymptotically good codes
Martínez-Pérez, Conchita; Willems, Wolfgang
In: Codage et Cryptographie, Versailles, France, April 16-20, 2007: actes des Journées Internationales / Daniel Augot (ed.); ...: actes des Journées Internationales - Le Chesnay Cedex: INRIA Rocquencourt . - 2007, S. 233-236Kongress: WCC 2007 (Versailles, France : 2007.04.16-20)
Cartan invariants and defect zero elements
Gow, R.; Willems, Wolfgang
In: Archiv der Mathematik - Berlin : Springer-Verlag GmbH, Bd. 87 (2006), Heft 6, S. 498-504
Self-dual doubly even 2-quasi-cyclic transitive codes are asymptotically good
Martínez-Pérez, Conchita; Willems, Wolfgang
In: IEEE transactions on information theory: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization / IEEE Information Theory Society: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization/ Institute of Electrical and Electronics Engineers - Piscataway, NJ: IEEE, Bd. 53 (2007), 11, S. 4302-4308
A local conjecture on Brauer character degrees of finite groups
Holm, Thorsten; Willems, Wolfgang
In: Transactions of the American Mathematical Society - Providence, RI : Soc., Bd. 359 (2007), Heft 2, S. 591-603
Self-dual doubly even 2-quasi-cyclic transitive codes are asymptotically good
Martínez-Pérez, Conchita; Willems, Wolfgang
In: IEEE transactions on information theory / Institute of Electrical and Electronics Engineers - Piscataway, NJ : IEEE, Bd. 53 (2007), Heft 11, S. 4302-4308
Mathematische Aspekte der Codierungstheorie
Willems, Wolfgang
In: Jahresbericht der Deutschen Mathematiker-Vereinigung / Deutsche Mathematiker-Vereinigung - Heidelberg : Springer, Bd. 109 (2007), Heft 2, S. 71-79
Mathematische Aspekte der Codierungstheorie
Willems, Wolfgang
In: Jahresbericht der Deutschen Mathematiker-Vereinigung/ Deutsche Mathematiker-Vereinigung - Heidelberg: Springer, Bd. 109 (2007), 2, S. 71-79
2006
Lineare Algebra
Huppert, Bertram; Willems, Wolfgang
In: Wiesbaden: Teubner, 2006, XIII, 584 S. - (Lehrbuch Mathematik), ISBN: 3-8351-0089-0 [Literaturverz. S. [573] - 574]
The automorphism group of a binary self-dual doubly even [72, 36, 16] code is solvable
Bouyuklieva, Stefka; O'Brien, E. A.; Willems, Wolfgang
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 52.2006, 9, S. 4244-4248; Abstract
Is the class of cyclic codes asymptotically good?
Martínez-Pérez, Conchita; Willems, Wolfgang
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 52.2006, 2, S. 696-700; Abstract
Error probabilities for bounded distance decoding
Faldum, Andreas; Lafuente, Julio; Ochoa, Gustavo; Willems, Wolfgang
In: Designs, codes and cryptography - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 40 (2006), Heft 2, S. 237-252
Projective two-weight codes with small parameters and their corresponding graphs
Bouyukliev, Iliya; Fack, Veerle; Willems, Wolfgang; Winne, Joost
In: Designs, codes and cryptography . - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 41.2006, 1, S. 59-78; Abstract
Self-dual extended cyclic codes
Martínez-Pérez, Conchita; Willems, Wolfgang
In: Applicable algebra in engineering, communication and computing - Berlin : Springer, Bd. 17 (2006), Heft 1, S. 1-16
2005
On the automorphism group of a binary self-dual doubly-even [72, 36, 16] code, part II.
Willems, Wolfgang
In: Bulgarian Academy of Sciences, Institue of Mathematics and Informatics (Veranst.): Optimal codes and related topics (Fourth international workshop Pamporova, Bulgaria June 17-23, 2005). - proceedings. Sofia : Bulgaria Academy of Sciences, 2005, S. 283 - 285
Projective two-weight codes with small parameters and their corresponding graphs.
Fack, Veerle; Bouyukliev, I.; Willems, Wolfgang; Winne, J.
In: Bulgarian Academy of Sciences, Institue of Mathematics and Informatics (Veranst.): Optimal codes and related topics (Fourth international workshop Pamporova, Bulgaria June 17-23, 2005). - proceedings. Sofia : Bulgaria Academy of Sciences, 2005, S. 139 - 145
Teaching linear codes.
Baicheva, Tsonka; Bouyukliev, Iliya; Dodunekov, Stefan; Willems, Wolfgang
In: Mathematica Balkanica [Sofia] 19(2005), Nr. 1/2, S. 3 - 16
On degrees of irreducible Brauer characters.
Willems, Wolfgang
In: Transactions of the American Mathematical Society [Providence, RI] 357(2005), Nr. 6, S. 2379 - 2387
2004
On the [10,5,6]9 reed-solomon and glynn codes.
Baicheva, Tsonka; Bouyukliev, Iliya; Dodunekov, Stefan; Willems, Wolfgang
In: Mathematica Balkanica [Sofia] 18(2004), Nr. 1-2, S. [67] - 78
On the weight hierarchy of product codes.
Martinez-Prez, Conchita; Willems, Wolfgang
In: Designs, codes and cryptography [Boston] 33(2004), S. 95 - 108
Self-dual codes and modules for finite groups in characteristic two.
Martinez-Perez, Conchita; Willems, Wolfgang
In: IEEE transactions on information theory [Piscataway, NY] 50(2004), Nr. 8, S. 1798 - 1803
On the asymptotic behaviour of cyclic codes.
Martinez-Perez, Conchita; Willems, Wolfgang
In: Institute of Mathematics and Informatics (Veranst.): Algebraic and combinatorial coding theory (Ninth international workshop Kranevo, Bulgaria 19-25 June, 2004). - proceedings. Sofia : Acad., 2004, S. 283 - 285 (ACCT'2004)
2003
Self-dual extended group codes.
Martinez-Perez, Conchita; Willems, Wolfgang
In: Augot, Daniel (Hrsg.) ; Charpin, Pascale (Hrsg.) ; Kabatianski, Grigory (Hrsg.): Coding and cryptography = codage et cryptographie (Journee international = International workshop Versailles 24 - 28 mars). - actes. Rocquencourt : INRIA, 2003, S. 317 - 321
A lower bound on the weight hierarchies of product codes.
Schaathun, Hans Georg; Willems, Wolfgang
In: Discrete applied mathematics : DAM [Amsterdam] 128(2003), S. 251 - 261
APN function in odd characteristic.
Dobbertin, Hans; Mills, Donald; Mueller, Eva Nuria; Pott, Alexander; Willems, Wolfgang
In: Discrete mathematics [Berlin] 267(2003), S. 95 - 112
Self-dual codes in components of group algebras.
Martinez-Perez, Conchita; Willems, Wolfgang
In: IEEE (Veranst.): 2003 IEEE international symposium on information theory, ISIT '03 (Yokohama, Japan, June 29 - July 4, 2003). - proceedings. Piscataway, NJ : IEEE Operations Center, 2003, S. 333
2002
A note on self-dual group codes.
Willems, Wolfgang
In: IEEE transactions on information theory [Piscataway, NY] 48(2002), Nr. 12, S. 3107 - 3109
2001
On weight hierarchies of product codes : the Wei-Yang conjecture and more.
Martinez-Perez, Conchita; Schaathun, Hans Georg; Willems, Wolfgang
In: Augot, Daniel (Hrsg.) ; Carlet, Claude (Hrsg.): Coding and cryptography, WCC '2001 (International workshop Paris, January 8-12, 2001). - proceedings. Paris, 2001, S. 373 - 379
On weight hierarchies of product codes : the Wei-Yang conjecture and more.
Martiïnez-Peïrez, Conchita; Schaathun, Hans Georg; Willems, Wolfgang
In: Electronic notes in discrete mathematics [Amsterdam] 6(2001), [7 S.]
On the crosscorrelation of sequences with the decimation factor d=(p^n+1)/(p+1)-(p^n-1)/2.
Hu, Z.; Mueller, Eva Nuria; Willems, Wolfgang; ...,
In: Applicable algebra in engineering, communication and computing : AAECC [Berlin] 12(2001), S. 255 - 263
2000
A note on perturbations of stochastic matrices.
Huppert, B.; Willems, Wolfgang
In: Journal of algebra [San Diego, Calif.] 234(2000), S. 440 - 453