Homepage of Wolfgang Willems

List of Publications

Wolfgang Willems

Books and Monographs

Lineare Algebra (with B. Huppert)
2., überarbeitete und erweiterte Auflage, Vieweg+Teubner Verlag, Wiesbaden, 2010, xiv + 619 pp.

Una introducción a la Criptografía de clave pública (with Ismael Gutiérrez)
2a edicíon, Ediciones Uninorte, Barranquilla, Colombia, 2010, ix+88 pp.

Codierungstheorie und Kryptographie
Birkhäuser Verlag , Basel, 2008, viii+152 pp.

Una introducción a la Criptografía de clave pública (with Ismael Gutiérrez)
Ediciones Uninorte, Barranquilla, Colombia, 2008, ix+83 pp.

Lineare Algebra (with B. Huppert)
Teubner Verlag , Wiesbaden, 2006, xiii + 584 pp.

Codierungstheorie.
deGruyter , Lehrbuch 1999, x+250 pp.

Representation theory in arbitrary characteristic. (with R. Gow, B. Huppert, R. Knörr and O. Manz)
Casa Editrice Dott. Antonio Milani (CEDAM), Padua, 1993, vi+186 pp.

Stochastische Matrizen. (with B. Huppert and F.-J. Fritz)
Springer 1979, vii+191 pp.

Chapter in Books

Codes in group algebras
Chapter 16 in: Concise Encyclopedia in Coding Theory, Chapman and Hall /CRC, 2021, pp 363-384
Editors: W. C. Huffmann, J.-L. Kim and P. Solé

Codes in twisted group algebras
to appear 2022

Research articles

[95]	Twisted skew G-codes (with A. Bahajaima, M. Borello and J. de la Cruz) Designs, Codes and Cryptography 92 (2024)
[94]	A generalization of Murai's conjecture (with Y. Liu and H. Xiong) Osaka J. Math. 61 (2024), 107-119
[93]	The algebraic structure of quasi group codes (with M. Borello) Journal of Algebra and it Applications 22, No 10 (2023)
[92]	Divisibility of weights for ideals in group algebras (with J. de la Cruz) Vietnam Journal of Mathematics 51 (2023), 721-729
[91]	Brauer's height zero conjecture for two primes holds true (with Y. Liu, L. Wang and J. Zhang) Mathematische Annalen (2023) Doi: 10.1007/s00208-022-02543-0, 14 pages
[90]	On ideals in group algebras: an uncertainty principle and the Schur product (with M. Borello and G. Zini) Forum Mathematicum 34 (2022), 1345-1354
[89]	On checkable codes in group algebras (with M. Borello and J. de la Cruz) Journal of Algebra and its Applications 21 (2022), 11 pages
[88]	On higher Frobenius-Schur indicators (with Y. Liu) Bulletin Australian Math. Soc. 105 (2022), 267-277
[87]	Twisted group codes (with J. de la Cruz) IEEE Trans. Inform. Theory 67 (2021), 5178-5184.
[86]	Group codes over fields are asymptotically good (with M. Borello) Finite Fields and Their Applications, Vol. 68 (2020), 101738
[85]	A note on linear complementary pairs of group codes (with M. Borello and J. de la Cruz) Discrete Math. 343 (2020), Issue 8, 111905
[84]	Trivial intersection of blocks and nilpotent subgroups (with Y. Liu, H. Xiong and J. Zhang) J. of Algebra 559 (2020), 510-528 Addendum J. of Algebra 584 (2021), 161-162
[83]	On Hilbert divisors of Brauer characters (with Y. Liu) J. of Algebra 558 (2020), 595-610
[82]	Self-duality of generalized twisted Gabidulin codes (with K. Otal and F. Özbudak) Advances in Mathematics of Communications 12 (2018), 741-759
[81]	On q-Steiner systems from rank metric codes (with F. Arias, J. de la Cruz and J. Rosenthal) Discrete Math. 341 (2018), 2729-2734
[80]	On group codes with complementary duals (with J. de la Cruz) Designs Codes and Cryptography 86 (2018), 2065-2073
[79]	Quasi-projective Brauer characters (with Y. Liu) Journal of Algebra 499 (2018), 506-515
[78]	On self-dual MRD codes. (with G. Nebe) Advances Math. Comm. 10 (2016), 633-642
[77]	Algebraic structures of MRD codes. (with J. de la Cruz, M. Kiermaier and A. Wassermann) Advances Math. Comm. 10 (2016), 499-510
[76]	Lie-type-like groups. (with Y. Liu) Journal of Algebra 447 (2016), 432-444
[75]	On the automorphisms of order 15 for a binary self-dual [96,48,20] code. (with S.Bouyuklieva and N.Yankov) Designs, Codes and Cryptography 79 (2016), 171-182
[74]	Quasi-projective and quasi-liftable characters. (with A.E. Zalesski) Journal of Algebra 442 (2015), 548-559
[73]	On the classification of extremal self-dual codes over small fields with 2-transitive automorphism groups. (with A. Malevich) Designs, Codes and Cryptography 70 (2014), 69-76
[72]	On the Automorphisms of a binary self-dual [120,60,24] code. (with S. Bouyuklieva and J. de la Cruz) AAECC 24 (2013), 201-214
[71]	Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24. (with M. Borello) IEEE Trans. Inform. Theory 59 (2013), 3378-3383
[70]	On the dimensions of PIM's. (with C. Martínez-Pérez) Journal of Group Theory 16 (2013), 397-417
[69]	5-designs related to binary extremal self-dual codes of length 24m. (with J. de la Cruz) Contemp. Math. 579 (2012), 75-80
[68]	Singly-even self-dual codes with minimal shadow. (with S. Bouyuklieva) IEEE Trans. Inform. Theory 58 (2012), 3856-3860
[67]	On extremal self-dual codes of length 96. (with Javier de la Cruz) IEEE Trans. Inform. Theory 57 (2011), 6820-6823
[66]	On the performance of binary extremal self-dual codes. (with S. Bouyuklieva and A. Malevich) Advances in Math. of Communications 5 (2011), 267-274
[65]	On the automorphism group of a binary self-dual doubly-even [72,36,16] code. (with E.A. O´Brien) IEEE Trans. Inform. Theory 57 (2011), 4445-4451
[64]	Involutions, cohomology and metabolic spaces. (with C. Martínez-Pérez) J. of Algebra 327 (2011), 366-385
[63]	Automorphisms of extremal codes. (with S. Bouyuklieva and A. Malevich) IEEE Trans. Inform. Theory 56 (2010), 2091-2096
[62]	Brauer characters of prime power degrees and conjugacy classes of prime power lengths. (with Pham Huu Tiep) Algebra Colloquium 17 (2010), 541-548
[61]	The trivial intersection problem for characters of principal indecomposable modules. (with C. Martínez-Pérez) Advances in Math. 222 (2009), 1197-1219.
[60]	On Morita theory for self-dual modules. (with Alexander Zimmermann) Quart. J. Math. 60 (2009), 387-400
[59]	Problems and conjectures in algebraic and combinatorial coding theory. Doklady BGUIR No 7 (27), (2008), 1-10 (Russian).
[58]	Self-dual doubly-even 2-quasi-cyclic codes are asymptotically good. (with C. Martínez-Pérez) IEEE Trans. Inform. Theory 53 (2007), 4302-4308.
[57]	Mathematische Aspekte der Codierungstheorie. Jahresbericht der DMV 109 (2007), 71-97.
[56]	A local conjecture on Brauer character degrees of finite groups. (with T. Holm) Trans. Amer. Math. Soc. 359 (2007), 591-603.
[55]	Cartan invariants and defect zero elements. (with R. Gow) Archiv der Mathematik 87 (2006), 498-504.
[54]	The automorphism group of a self-dual doubly-even [72,36,16] code is solvable. (with S. Bouyuklieva and E.A. O'Brien ) IEEE Trans. Inform. Theory 52 (2006), 4244-4248.
[53]	Projective two-weight codes with small parameters and their corresponding graphs. (with I. Bouyukliev, V. Fack and J. Winne) Designs, Codes and Cryptography 41 (2006), 59-78.
[52]	Error probabilities for bounded distance decoding. (with A. Faldum, J. Lafuente and G. Ochoa) Designs, Codes and Cryptography 40 (2006), 237-252.
[51]	Self-dual extended cyclic codes. (with C. Martínez-Pérez) Appl. Algebra in Eng. Comm. and Computing 17 (1) (2006), 1-16.
[50]	Is the class of cyclic codes asymptotically good? (with C. Martínez-Pérez) IEEE Trans. Inform. Theory 52 (2) (2006), 696-700.
[49]	Teaching linear codes. (with T. Baicheva, I. Bouyukliev and S. Dodunekov) Mathematica Balkanica, New Series Vol. 19 (2005), 3-16.
[48]	On degrees of irreducible Brauer characters. Trans. Am. Math. Soc. 357 (2005), 2379-2387.
[47]	Self-dual codes and modules of finite groups in characteristic two. (with C. Martínez-Pérez) IEEE Trans. Inform. Theory 50 (8) (2004), 1798-1803.
[46]	On the [10,5,6] Reed-Solomon and Glynn codes. (with T. Baicheva, I. Bouyukliev and S. Dodunekov) Mathematica Balkanica, New Series Vol. 18 (2004), 67-78.
[45]	The conjecture of Wei and Yang on the weight hierarchy of product codes. (with C. Martínez-Pérez) Designs, Codes and Cryptography 33 (2) (2004), 95-108.
[44]	A lower bound on the weight hierarchy of product codes. (with H.G. Schaathun) Discrete Appl. Math. 128 (2003), 251-261.
[43]	APN functions in odd characteristic. (with H. Dobbertin, D. Mills, E.N. Müller, Alexander Pott) Discrete Math. 267 (2003), 95-112.
[42]	A note on self-dual group codes. IEEE Trans. Inf. Theory Vol.48 (2002), 3107-3109.
[41]	On the weight hierarchies of product codes. The Wei-Yang conjecture and more. (with H.G. Schaathun and C. Martínez-Pérez) Electronic Notes in Discrete Mathematics 6, Proceed. Int. Workshop on Coding and Cryptography, Paris 2001.
[40]	On crosscorrelation of sequences over GF(p) with decimation factor d = (p^n +1)/(p+1) - (p^n-1)/2. (with Z. Hu, X. Li, D. Mills, E. Müller, W. Sun, Y. Yang, Z. Zhang) Appl. Alg. Eng. Comm. and Comp. Vol.12 No. 3 (2001), 255-263.
[39]	A note on perturbations of stochastic matrices. (with B. Huppert) J. of Algebra 234 (2000), 440-453.
[38]	A characterization of certain Griesmer Codes: MMD Codes in a more general sense. (with J. Olsson) IEEE Trans. Inf. Theory Vol.45 (1999), 2138-2142.
[37]	A characterization of MMD Codes. (with A. Faldum) IEEE Trans. Inf. Theory Vol.44 (1998), 1555-1558
[36]	On the quadratic type of some simple self-dual modules over fields of characteristic two. (with R. Gow) J. Algebra 195 (1997), no. 2, 634-649.
[35]	Codes of small defect. (with A. Faldum) Des. Codes Cryptogr. 10 (1997), no. 3, 341-350.
[34]	When is a p-block a q-block? (with G. Navarro) Proc. Amer. Math. Soc. 125 (1997), no. 6, 1589-1591.
[33]	A characterization of codes with extreme parameters. (with A. Faldum) IEEE Trans. Inform. Theory Vol.42 (1996), 2255-2257.
[32]	Methods to decide if simple self-dual modules over fields of characteristic 2 are of quadratic type. (with R. Gow) J. Algebra 175 (1995), no. 3, 1067-1081.
[31]	A note on Green correspondence and forms. (with R. Gow) Comm. Algebra 23 (1995), no. 4, 1239-1248.
[30]	p-Brauer characters of q-defect 0. (with G. Navarro) Manuscripta Math. 84 (1994), no. 3-4, 379-388.
[29]	A note on the support of block idempotents. Arch. Math. (Basel) 62 (1994), no. 1, 21-25.
[28]	Quadratic geometries, projective modules, and idempotents. (with R. Gow) J. Algebra 160 (1993), no. 1, 257-272.
[27]	G-invariant quadratic forms. (with P. Sin) J. Reine Angew. Math. 420 (1991), 45-59.
[26]	On irreducible faithful modules and their cohomology. Bull. London Math. Soc. 23 (1991), no. 1, 75-77.
[25]	Duality and forms in representation theory. Representation theory of finite groups and finite-dimensional algebras (Bielefeld, 1991), Progr. Math., 95, Birkhäuser, Basel, 1991, 509-520.
[24]	The automorphism groups of generalized Reed-Muller codes. (with R. Knörr) Astérisque No. 181-182 (1990), 195-207.
[23]	The diameter of the character degree graph. (with O. Manz and T. Wolf) J. Reine Angew. Math. 402 (1989), 181-198.
[22]	On induced projective indecomposable modules. (with P. Sin) Proc. Amer. Math. Soc. 105 (1989), no. 4, 793-801.
[21]	Representations of certain group extensions. Representation theory and number theory in connection with the local Langlands conjecture (Augsburg, 1985), Contemp. Math., 86, Amer. Math. Soc., Providence, RI, 1989, 91-99.
[20]	Blocks of defect zero in finite simple groups of Lie type. J. Algebra 113 (1988), no. 2, 511-522.
[19]	On the number of components of a graph related to character degrees. (with O. Manz and R. Staszewski) Proc. Amer. Math. Soc. 103 (1988), no. 1, 31-37.
[18]	An upper bound for Loewy lengths of projective modules in p-solvable groups. Osaka J. Math. 24 (1987), no. 1, 77-81.
[17]	Blocks of defect zero and degree problems. The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), Proc. Sympos. Pure Math., 47, Part 1, Amer. Math. Soc., Providence, RI, 1987, 481-484.
[16]	*p -theory and modular representation theory.** J. Algebra 104 (1986), no. 1, 135-140.
[15]	The representation type of the centre of a group algebra. J. London Math. Soc. (2) 33 (1986), no. 2, 253-259.
[14]	The generalized p'-core and the principal p-block. Representation theory, II (Ottawa, Ont., 1984), Lecture Notes in Math. 1178, Springer, Berlin-New York, 1986, 177-193.
[13]	On p-chief factors of finite groups. Comm. Algebra 13 (1985), no. 11, 2433-2447.
[12]	Relations between complexity and modular invariants and consequences for p-soluble groups. (with C. Bessenrodt) J. Algebra 86 (1984), no. 2, 445-456.
[11]	What conditions do vertices of irreducible modules satisfy? Representations of algebras (Puebla, 1980), Lecture Notes in Math. 903, Springer, Berlin-New York, 1981, 358-363.
[10]	A remark on the degree problem in modular representation theory. Comm. Algebra 9 (1981), no. 14, 1543-1546.
[9]	On irreducible representations of p-soluble groups in characteristic p. (with J. Cossey and T. Hawkes) Math. Z. 174 (1980), no. 1, 19-22.
[8]	On the projectives of a group algebra. Math. Z. 171 (1980), no. 2, 163-174.
[7]	A note on Brauer's induction theorem. J. Algebra 58 (1979), no. 2, 523-526.
[6]	On Brauer's induction theorem. Proceedings of the Symposium on Modular Representations of Finite Groups (Math. Inst., Univ. Aarhus, Aarhus, 1978), Various Publ. Ser., 29, Aarhus Univ., Aarhus, 1978, 46-47.
[5]	Über die Existenz von Blöcken. J. Algebra 53 (1978), no. 2, 402-409.

[4]	Gruppen, deren nichtlineare Charaktere von symplektischem Typ sind. Arch. Math. (Basel) 29 (1977), no. 4, 383--384.

[3]	Metrische G-Moduln über Körpern der Charakteristik 2. Math. Z. 157 (1977), no. 2, 131-139.

[2]	Bemerkungen zur modularen Darstellungstheorie. III. Induzierte und eingeschränkte Moduln. Arch. Math. (Basel) 26 (1975), no. 5, 497-503.

[1]	Bemerkungen zur modularen Darstellungstheorie. II. Darstellungen von Normalteilern. (with B. Huppert) Arch. Math. (Basel) 26 (1975), no. 5, 486-496.

Wolfgang Willems willems@ovgu.de

Last modified: March 20, 2024