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Prof. Willems

Prof. Dr. rer. nat. habil. Wolfgang Willems

Fakultät für Mathematik
Institut für Algebra und Geometrie (IAG)
Gebäude 03, Universitätsplatz 2, 39106 Magdeburg, Gebäude 03, Raum 207b
Tel.: +49 391 67 18350
Fax: +49 391 67 11213

Prof. Dr. rer. nat. habil. Wolfgang Willems

Fakultät für Mathematik
Institut für Algebra und Geometrie (IAG)
Gebäude 03, Universitätsplatz 2, 39106 Magdeburg, Gebäude 03, Raum 207b
Tel.: +49 391 67 18350
Fax: +49 391 67 11213
Projekte

Abgeschlossene Projekte

Publikationen

2016

Begutachteter Zeitschriftenartikel
Cruz, Javier de la;  Kiermaier, Michael;  Wassermann, Alfred;  Willems, Wolfgang 

Algebraic structures of MRD codes
In: Advances in mathematics of communications : AMC. - Springfield, M : AIMS, Bd. 10.2016, 3, S. 499-510

Liu, Yanjun;  Willems, Wolfgang 

Lie-type-like groups
In: Journal of algebra. - San Diego, Calif : Elsevier, Bd. 447.2016, S. 432-444

Nebe, Gabriele;  Willems, Wolfgang 

On self-dual MRD codes
In: Advances in mathematics of communications : AMC. - Springfield, M : AIMS, Bd. 10.2016, 3, S. 633-642

Originalartikel in begutachteter internationaler Zeitschrift
Willems, Wolfgang;  Stefka Bouyuklieva, 

On the automorphisms of order 15 for a binary self-dual [96,48,20] code
In: Des. Codes Cryptogr. 79 (2016), 171 -182

2015

Begutachteter Zeitschriftenartikel
Willems, Wolfgang;  Zalesski, A. E. 

Quasi-projective and quasi-liftable characters
In: Journal of algebra. - San Diego, Calif : Elsevier, Bd. 442.2015, S. 548-559

2014

Begutachteter Zeitschriftenartikel
Malevich, Anton;  Willems, Wolfgang 

On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups
In: Designs, codes and cryptography. - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 70.2014, 1/2, S. 69-70

2013

Artikel in Kongressband
Cruz, Javier de la;  Willems, Wolfgang 

On network codes and partial spreads
In: Optimal Codes and Related Topics. - Albena, S. 77-78, 2013 ; Kongress: International Workshop on Optimal Codes and Related Topics; 7 (Albena, Bulgaria) : 2013.09.06-12

Begutachteter Zeitschriftenartikel
Borello, Martino;  Willems, Wolfgang 

Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 59.2013, 6, S. 3378-3383

Bouyuklieva, Stefka;  Cruz, Javier de la;  Willems, Wolfgang 

On the automorphism group of a binary self-dual [120,60,24] code
In: Applicable algebra in engineering, communication and computing. - Berlin : Springer, insges. 14 S., 2013

Martinez-Pérez, Conchita;  Willems, Wolfgang 

On the dimensions of PIM's
In: Journal of group theory. - Berlin : de Gruyter, Bd. 16.2013, 3, S. 397-417

Herausgeberschaft
Willems, Wolfgang 

Advances in mathematics of communications
In: Springfield, Mo., AIMS, ISSN: 1930-5346, 24101990, 2013

2012

Buchbeitrag
Cruz, Javier de la;  Willems, Wolfgang 

5-designs related to binary extremal self-dual codes of length 24m
In: Theory and applications of finite fields. - Providence, RI : American Math. Soc., S. 75-80, 2012 ; Kongress: International Conference on Finite Fields and Applications; 10 (Ghent, Belgium) : 2011.07.11-15

Originalartikel in begutachteter internationaler Zeitschrift
Bouyuklieva, Stefka;  Willems, Wolfgang 

Singly Even Self-Dual Codes With Minimal Shadow
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 58.2012, 6, S. 3856-3860

Originalartikel in begutachteter zeitschriftenartiger Reihe
Bouyuklieva, Stefka;  Willems, Wolfgang 

Connections between different types of binary self-dual codes
In: Algebraic and combinatorial coding theory. - Bulgarian Acad. of Science, S. 111-116, 2012 ; Kongress: ACCT; 13 (Pomorie) : 2012.06.15-21

2011

Artikel in Kongressband
Cruz, Javier de la;  Willems, Wolfgang 

The automorphism groups of binary extremal self-dual codes of length 24m
In: WCC 2011. - INRIA, S. 229-232 ; Kongress: WCC 2011; 7 (Paris, France) : 2011.04.11-15

Originalartikel in begutachteter internationaler Zeitschrift
Bouyuklieva, Stefka;  Malevich, Anton;  Willems, Wolfgang 

On the performance of binary extremal self-dual codes
In: Advances in mathematics of communications. - Springfield, Mo. : AIMS, Bd. 5.2011, 2, S. 267-274

Cruz, Javier de la;  Willems, Wolfgang 

On extremal self-dual codes of length 96
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 57.2011, 10, S. 6820-6823

Martínez-Pérez, Conchita;  Willems, Wolfgang 

Involutions, cohomology and metabolic spaces
In: Journal of algebra. - San Diego, Calif : Elsevier, Bd. 327.2011, 1, S. 366-385

O'Brien, E. A.;  Willems, Wolfgang 

On the automorphism group of a binary self-dual doubly even [72, 36, 16] code
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 57.2011, 7, S. 4445-4451

2010

Buchbeitrag
Willems, Wolfgang 

On binary self-dual extremal codes
In: 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 : 5 - 9 July, 2010, Budapest, Hungary ; proceedings. - Budapest, S. 303-304 ; Kongress: MTNS 2010; 19 (Budapest, Hungary) : 2010.07.05-09[Beitrag auf CD-ROM]

Lehrbuch
Huppert, Bertram;  Willems, Wolfgang 

Lineare Algebra - mit zahlreichen Anwendungen in Kryptographie, Codierungstheorie, mathematischer Physik und stochastischen Prozessen
In: Lineare Algebra, 2., überarb. und erw. Aufl.

Willems, Wolfgang;  García, Ismael Gutiérrez 

Una introducción a la criptografía de clave pública
In: , 2. ed.; Barranquilla, Colombia: Ediciones Uninorte; XI, 88 S., ISBN 978-958-825263-6, 2010

Originalartikel in begutachteter internationaler Zeitschrift
Bouyuklieva, Stefka;  Malevich, Anton;  Willems, Wolfgang 

Automorphisms of extremal self-dual codes
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 56.2010, 5, S. 2091-2096

Tiep, Pham Huu;  Willems, Wolfgang 

Brauer characters of prime power degrees and conjugacy classes of prime power lengths
In: Algebra colloquium . - Singapore [u.a.] : World Scientific, Bd. 17.2010, 4, S. 541-548

2009

Herausgeberschaft
Bräsel, Heidemarie;  Christoph, Gerd;  Grunau, Hans-Christoph;  Henk, Martin;  Henning, Herbert;  Kahle, Waltraud;  Kaibel, Volker;  Manteuffel, Karl;  Pott, Alexander;  Warnecke, Gerald;  Willems, Wolfgang 

"Alles was zählt!" - der mathematische Blick
In: Magdeburg: Univ., Fak. für Mathematik, 2009; Getr. Zählung: Ill.; 29 cm - (Technical Report / Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)

Originalartikel in begutachteter internationaler Zeitschrift
Martinez-Pérez, Conchita;  Willems, Wolfgang 

The trivial intersection problem for characters of principal indecomposable modules
In: Advances in mathematics . - Amsterdam [u.a.] : Elsevier, Bd. 222.2009, 4, S. 1197-1219

Originalartikel in begutachteter zeitschriftenartiger Reihe
Bouyuklieva, Stefka;  Malevich, Anton;  Willems, Wolfgang 

On extremal codes with automorphisms
In: International Workshop on Optimal Codes and Related Topics . - Varna, S. 26-31, 2009 ; Kongress: International Workshop on Optimal Codes and Related Topics; 6 (Varna) : 2009.06.16-22

2008

Artikel in Kongressband
Bouyuklieva, Stefka;  Willems, Wolfgang 

Notes on automorphisms of extremal codes
In: Algebraic and combinatorial coding theory . - Bulgarian Acad. of Science, S. 40-45, 2008 ; Kongress: ACCT; 11 (Pamporovo, Bulgaria) : 2008.06.16-22

Lehrbuch
Willems, Wolfgang 

Codierungstheorie und Kryptographie
In: Mathematik kompakt

Originalartikel in begutachteter internationaler Zeitschrift
Willems, Wolfgang;  Zimmermann, Alexander 

On morita theory for self-dual modules
In: The quarterly journal of mathematics . - Oxford : Oxford Univ. Pr., Bd. 59.2008, insges. 14 S.

Originalartikel in begutachteter nationaler Zeitschrift
Willems, Wolfgang 

Problemy i gipotezy v algebraicoj i kombinatornoj teorii pomechoustojcivogo kodirovanija
In: Belorusskij Gosudarstvennyj Universitet Informatiki i Radioelektroniki <Minsk> : Doklady BGUIR . - Minsk, Bd. 37.2008, 7, S. 4-10

Wissenschaftliche Monographie
Willems, Wolfgang;  García, Ismael Gutiérrez 

Una introducción a la criptografía de clave pública
In: Barranquilla, Colombia: Ediciones Uninorte; IX, 83 S.: graph. Darst., ISBN 978-958-825263-6, 2008 ; [Literaturverz. S. 79 - 80]

2007

Buchbeitrag
Martínez-Pérez, Conchita;  Willems, Wolfgang 

Asymptotically good codes
In: Codage et Cryptographie, Versailles, France, April 16-20, 2007 . - Le Chesnay Cedex : INRIA Rocquencourt, ISBN 2-7261-1293-5, S. 233-236 ; Kongress: WCC 2007; (Versailles, France) : 2007.04.16-20 ; International Workshop on Coding and Cryptography; (Versailles, France) : 2007.04.16-20

Originalartikel in begutachteter internationaler Zeitschrift
Gow, R.;  Willems, Wolfgang 

Cartan invariants and defect zero elements
In: Archiv der Mathematik. - Basel [u.a.] : Birkhäuser, Bd. 87.2006, 6, S. 498-504

Holm, Thorsten;  Willems, Wolfgang 

A local conjecture on Brauer character degrees of finite groups
In: Transactions of the American Mathematical Society. - Providence, RI : JSTOR, Bd. 359.2007, 2, S. 591-603, 2006

Martínez-Pérez, Conchita;  Willems, Wolfgang 

Self-dual doubly even 2-quasi-cyclic transitive codes are asymptotically good
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 53.2007, 11, S. 4302-4308

Originalartikel in begutachteter nationaler Zeitschrift
Willems, Wolfgang 

Mathematische Aspekte der Codierungstheorie
In: Deutsche Mathematiker-Vereinigung : Jahresbericht der Deutschen Mathematiker-Vereinigung . - Stuttgart : Teubner, Bd. 109.2007, 2, S. 71-79

2006

Originalartikel in begutachteter internationaler Zeitschrift
Bouyukliev, Iliya;  Fack, Veerle;  Willems, Wolfgang;  Winne, Joost 

Projective two-weight codes with small parameters and their corresponding graphs
In: Designs, codes and cryptography . - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 41.2006, 1, S. 59-78; Abstract unter URL: http://www.springerlink.com/content/5758626068355180/fulltext.pdf

Bouyuklieva, Stefka;  O'Brien, E. A.;  Willems, Wolfgang 

The automorphism group of a binary self-dual doubly even [72, 36, 16] code is solvable
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 52.2006, 9, S. 4244-4248; Abstract unter URL: http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=35459&amp;amp;amp;amp;amp;amp;arnumber=1683942&amp;amp;amp;amp;amp;amp;count=47&amp;amp;amp;amp;amp;amp;index=28

Faldum, Andreas;  Lafuente, Julio;  Ochoa, Gustavo;  Willems, Wolfgang 

Error probabilities for bounded distance decoding
In: Designs, codes and cryptography . - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 40.2006, 2, S. 237-252; Abstract unter URL: http://www.springerlink.com/content/604358728n3x8812/fulltext.pdf

Martínez-Pérez, Conchita;  Willems, Wolfgang 

Is the class of cyclic codes asymptotically good?
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 52.2006, 2, S. 696-700; Abstract unter URL: http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=33390&amp;amp;amp;amp;amp;amp;arnumber=1580803&amp;amp;amp;amp;amp;amp;count=31&amp;amp;amp;amp;amp;amp;index=20

Martínez-Pérez, Conchita;  Willems, Wolfgang 

Self-dual extended cyclic codes
In: Applicable algebra in engineering, communication and computing . - Berlin : Springer, Bd. 17.2006, 1, S. 1-16; Abstract unter URL: http://www.springerlink.com/(wmeeo4nqy11lmhirks33crri)/app/home/contribution.asp?referrer=parent&amp;amp;amp;amp;amp;amp;backto=issue,1,6;journal,3,91;linkingpublicationresults,1:100499,1

2005

Buchbeitrag
Fack, Veerle (ext.);  Bouyukliev, I. (ext.);  Willems, Wolfgang;  Winne, J. (ext.) 

Projective two-weight codes with small parameters and their corresponding graphs.
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

Willems, Wolfgang 

On the automorphism group of a binary self-dual doubly-even [72, 36, 16] code, part II.
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

Originalartikel in begutachteter internationaler Zeitschrift
Baicheva, Tsonka (ext.);  Bouyukliev, Iliya (ext.);  Dodunekov, Stefan (ext.);  Willems, Wolfgang 

Teaching linear codes.
In: Mathematica Balkanica [Sofia] 19(2005), Nr. 1/2, S. 3 - 16

Willems, Wolfgang 

On degrees of irreducible Brauer characters.
In: Transactions of the American Mathematical Society [Providence, RI] 357(2005), Nr. 6, S. 2379 - 2387

2004

Originalartikel in begutachteter internationaler Zeitschrift
Baicheva, Tsonka (ext.);  Bouyukliev, Iliya (ext.);  Dodunekov, Stefan (ext.);  Willems, Wolfgang 

On the [10,5,6]9 reed-solomon and glynn codes.
In: Mathematica Balkanica [Sofia] 18(2004), Nr. 1-2, S. [67] - 78

Martinez-Perez, Conchita (ext.);  Willems, Wolfgang 

Self-dual codes and modules for finite groups in characteristic two.
In: IEEE transactions on information theory [Piscataway, NY] 50(2004), Nr. 8, S. 1798 - 1803

Martinez-Prez, Conchita (ext.);  Willems, Wolfgang 

On the weight hierarchy of product codes.
In: Designs, codes and cryptography [Boston] 33(2004), S. 95 - 108

Originalartikel in begutachteter zeitschriftenartiger Reihe
Martinez-Perez, Conchita (ext.);  Willems, Wolfgang 

On the asymptotic behaviour of cyclic codes.
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

Buchbeitrag
Martinez-Perez, Conchita (ext.);  Willems, Wolfgang 

Self-dual extended group codes.
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

Originalartikel in begutachteter internationaler Zeitschrift
Dobbertin, Hans (ext.);  Mills, Donald (ext.);  Mueller, Eva Nuria (ext.);  Pott, Alexander;  Willems, Wolfgang 

APN function in odd characteristic.
In: Discrete mathematics [Berlin] 267(2003), S. 95 - 112

Schaathun, Hans Georg (ext.);  Willems, Wolfgang 

A lower bound on the weight hierarchies of product codes.
In: Discrete applied mathematics : DAM [Amsterdam] 128(2003), S. 251 - 261

Originalartikel in begutachteter zeitschriftenartiger Reihe
Martinez-Perez, Conchita (ext.);  Willems, Wolfgang 

Self-dual codes in components of group algebras.
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

Originalartikel in begutachteter internationaler Zeitschrift
Willems, Wolfgang 

A note on self-dual group codes.
In: IEEE transactions on information theory [Piscataway, NY] 48(2002), Nr. 12, S. 3107 - 3109

Originalartikel in begutachteter zeitschriftenartiger Reihe
Willems, Wolfgang 

Self-dual group codes.
In: IEEE (Veranst.): 2002 IEEE international symposium on information theory, ISIT \'02 (Lausanne, Switzerland, June 30 - July 5, 2002). - proceedings. Piscataway, NJ : IEEE Operations Center, 2002, S. 460 (ISIT 2002)

2001

Artikel in Kongressband
Martinez-Perez, Conchita (ext.);  Schaathun, Hans Georg (ext.);  Willems, Wolfgang 

On weight hierarchies of product codes : the Wei-Yang conjecture and more.
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

Originalartikel in begutachteter internationaler Zeitschrift
Hu, Z. (ext.);  Mueller, Eva Nuria;  Willems, Wolfgang;  ..., (ext.);  ;   

On the crosscorrelation of sequences with the decimation factor d=(p^n+1)/(p+1)-(p^n-1)/2.
In: Applicable algebra in engineering, communication and computing : AAECC [Berlin] 12(2001), S. 255 - 263

Martiïnez-Peïrez, Conchita (ext.);  Schaathun, Hans Georg (ext.);  Willems, Wolfgang 

On weight hierarchies of product codes : the Wei-Yang conjecture and more.
In: Electronic notes in discrete mathematics [Amsterdam] 6(2001), [7 S.] Unter URL: http//www.elsevier.nl:80/inca/publications/store/5/0/5/6/0/9 (Stand vom: 09.01.2002)

2000

Originalartikel in begutachteter internationaler Zeitschrift
Huppert, B. (ext.);  Willems, Wolfgang 

A note on perturbations of stochastic matrices.
In: Journal of algebra [San Diego, Calif.] 234(2000), S. 440 - 453

Kooperationen
  • Universidad del Norte, Barranquilla, Kolumbien
Profil
  • Gruppentheorie
  • Darstellungstheorie
  • Codierungstheorie
  • Kryptographie
Service
Beratung und Gutachten zu den Themen:
  • Gruppentheorie / Darstellungstheorie
  • Codierungstheorie / Kryptographie
 
Vita
1973             Diplom
                     (Johannes-Gutenberg-Universität Mainz)
1976             Promotion
                     (Johannes-Gutenberg-Universität Mainz)
1985             Habilitation
                     (Johannes-Gutenberg-Universität Mainz)
1974 - 1995 wissenschaftlicher Mitarbeiter, Hochschulassistent, Hochschuldozent
                     (Johannes-Gutenberg-Universität Mainz)
1986 - 1987 Vertretungsprofessor
                     (Universität Essen)
1989 - 1991 Gastprofessor
                     (IEM, Universität Essen)
1995 - 2000 Vertretungsprofessor
                     (Otto-von-Guericke-Universität Magdeburg, Johannes-Gutenberg-Universität Mainz)
seit 2000       Professor für "Reine Mathematik"
                     (Otto-von-Guericke-Universität Magdeburg)
seit 2010      Profesor Honorario der Universidad del Norte, Barranquilla, Kolumbien
                    
presse

Letzte Änderung: 28.08.2017 - Ansprechpartner:

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