Edit Profile (opens in new tab) Nebe, Gabriele Co-Author Distance Author ID: nebe.gabriele Published as: Nebe, Gabriele; Nebe, G. Homepage: http://www.math.rwth-aachen.de/~Gabriele.Nebe/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 122 Publications since 1993, including 4 Books and 3 Additional arXiv Preprints 5 Contributions as Editor · 2 Further Contributions Reviewing Activity: 87 Reviews Co-Authors: 74 Co-Authors with 86 Joint Publications 2,038 Co-Co-Authors all top 5 Co-Authors 42 single-authored 11 Venkov, Boris B. 7 Bachoc, Christine 6 Coulangeon, Renaud 6 Rains, Eric M. 6 Sloane, Neil James Alexander 5 Parker, Richard A. 4 Hentschel, Michael 3 Günther, Annika 3 Hu, Sihuang 3 Kirschmer, Markus 3 Koch, Helmut 3 Krieg, Aloys 3 Plesken, Wilhelm 3 Stanojkovski, Mima 2 Anas Hahn, Marvin 2 Bayer-Fluckiger, Eva 2 Borello, Martino 2 Braun, Oliver 2 Cohen, Arjeh Marcel 2 El Maazouz, Yassine 2 Gross, Benedict Hyman 2 Liebhold, Dirk 2 Sturmfels, Bernd 1 Abramenko, Peter 1 Agricola, Ilka 1 Böcherer, Siegfried 1 Bracken, Carl 1 Byrne, Eimear 1 Chill, Ralph 1 Chisholm, Sarah 1 Dalla Volta, Francesca 1 de Oliveira Filho, Fernando Mário 1 Deines-Schartz, Alyson 1 Eick, Bettina 1 Eisenbarth, Simon 1 Feaver, Amy 1 Feulner, Thomas 1 Fourier, Ghislain 1 Gohlisch, Claudia 1 Götze, Friedrich 1 Grötschel, Martin 1 Haensch, Anna 1 Henn, Andreas 1 Hertweck, Martin 1 Holt, Derek F. 1 Hoyer, Linda 1 Hulek, Klaus 1 Jespers, Eric 1 Kimmerle, Wolfgang 1 Künzer, Matthias 1 Linton, Stephen A. 1 Liu, Jingbo 1 Long, Ling 1 Marciniak, Zbigniew S. 1 McGuire, Gary 1 Michor, Peter Wolfram 1 Miezaki, Tsuyoshi 1 Munemasa, Akihiro 1 Niemeyer, Alice C. 1 Nossek, Elisabeth 1 O’Brien, Eamonn A. 1 Pellarin, Federico 1 Prömel, Hans Jürgen 1 Quebbemann, Heinz-Georg 1 Rees, Sarah 1 Sadjadpour, Hamid R. 1 Schäfer, Artur 1 Scheeren, Leonie 1 Schindelar, Kristina 1 Schönnenbeck, Sebastian 1 Solé, Patrick 1 Steel, Allan K. 1 Swisher, Holly 1 Teider, Maria 1 Thackray, Jon 1 Vallentin, Frank 1 Vázquez-Castro, Ángeles 1 Villar, Darwin 1 Vygen, Jens 1 Willems, Wolfgang 1 Woeginger, Gerhard 1 Xing, Chaoping all top 5 Serials 10 Journal of Algebra 8 Archiv der Mathematik 8 Journal of Number Theory 6 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Nachrichten 4 Experimental Mathematics 4 Oberwolfach Reports 4 Advances in Mathematics of Communications 4 Albanian Journal of Mathematics 3 Communications in Algebra 3 Designs, Codes and Cryptography 3 L’Enseignement Mathématique. 2e Série 3 Finite Fields and their Applications 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematics of Computation 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Bulletin of the London Mathematical Society 2 European Journal of Combinatorics 2 Journal of Group Theory 2 Aachener Beiträge zur Mathematik 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Acta Arithmetica 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 Kyushu Journal of Mathematics 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Representation Theory 1 Algebras and Representation Theory 1 Algebra and Discrete Mathematics 1 Algorithms and Computation in Mathematics 1 Mathematics in Computer Science 1 International Journal of Combinatorics 1 Mathematics all top 5 Fields 89 Number theory (11-XX) 48 Group theory and generalizations (20-XX) 33 Information and communication theory, circuits (94-XX) 17 Associative rings and algebras (16-XX) 13 Combinatorics (05-XX) 6 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 4 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Topological groups, Lie groups (22-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 658 times in 468 Documents Cited by ▼ Year ▼ Self-dual codes and invariant theory. Zbl 1173.94447 Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 66 2006 Finite rational matrix groups. Zbl 0837.20056 Nebe, G.; Plesken, W. 29 1995 The invariants of the Clifford groups. Zbl 1002.11057 Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 Automorphism groups of Gabidulin-like codes. Zbl 1348.94086 Liebhold, Dirk; Nebe, Gabriele 25 2016 Finite quaternionic matrix groups. Zbl 0901.20035 Nebe, Gabriele 23 1998 Designs in Grassmannian spaces and lattices. Zbl 1035.05027 Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele 22 2002 On the Euclidean minimum of some real number fields. Zbl 1161.11032 Bayer-Fluckiger, Eva; Nebe, Gabriele 22 2005 Lattice chain models for affine buildings of classical type. Zbl 1113.20028 Abramenko, Peter; Nebe, Gabriele 19 2002 Lower bounds for measurable chromatic numbers. Zbl 1214.05022 Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank 18 2009 Some cyclo-quaternionic lattices. Zbl 0897.11022 Nebe, Gabriele 16 1998 An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066 Nebe, Gabriele 14 2012 Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031 Nebe, Gabriele 13 1996 On tight spherical designs. Zbl 1271.05021 Nebe, G.; Venkov, B. 13 2013 On Siegel modular forms of weight 12. Zbl 0997.11039 Nebe, Gabriele; Venkov, Boris 12 2001 The strongly perfect lattices of dimension 10. Zbl 0997.11049 Nebe, Gabriele; Venkov, Boris 12 2000 Network coding with flags. Zbl 1412.94254 Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles 11 2018 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013 Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 10 2004 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021 Bachoc, Christine; Nebe, Gabriele 10 1997 Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014 Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian 10 2015 Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267 Günther, Annika; Nebe, Gabriele 9 2009 Codes and invariant theory. Zbl 1077.94024 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Kneser-Hecke-operators in coding theory. Zbl 1122.94053 Nebe, G. 8 2006 On the equivalence of quadratic APN functions. Zbl 1250.11101 Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele 8 2011 Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021 Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 8 1998 The root lattices of the complex reflection groups. Zbl 0930.20048 Nebe, Gabriele 8 1999 Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005 Nebe, Gabriele 8 1999 Recognition of division algebras. Zbl 1184.16054 Nebe, Gabriele; Steel, Allan 8 2009 Globally maximal arithmetic groups. Zbl 1113.20040 Gross, Benedict H.; Nebe, Gabriele 8 2004 Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057 Nebe, Gabriele 7 1995 Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031 Nebe, Gabriele; Venkov, Boris 7 2005 Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029 Nebe, Gabriele 7 1996 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058 Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 7 2013 Unimodular lattices with long shadow. Zbl 1081.11049 Nebe, Gabriele; Venkov, Boris 7 2003 On self-dual MRD codes. Zbl 1348.94100 Nebe, Gabriele; Willems, Wolfgang 7 2016 On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062 Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 7 2010 On automorphisms of extremal even unimodular lattices. Zbl 1282.11075 Nebe, Gabriele 7 2013 Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) Zbl 1177.16002 6 2007 Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107 Hentschel, Michael; Nebe, Gabriele 5 2009 Orthogonal Frobenius reciprocity. Zbl 0954.20005 Nebe, Gabriele 5 2000 Odd unimodular lattices of minimum 4. Zbl 0998.11034 Bachoc, Christine; Nebe, Gabriele; Venkov, Boris 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 5 2002 The normaliser action and strongly modular lattices. Zbl 0898.11026 Nebe, Gabriele 5 1997 On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094 Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 5 2012 A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042 Nebe, Gabriele 5 2014 The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676 Feulner, Thomas; Nebe, Gabriele 5 2012 An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045 Nebe, Gabriele 4 2012 On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048 Böcherer, Siegfried; Nebe, Gabriele 4 2010 Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004 Nebe, Gabriele 4 2000 Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043 Bachoc, Christine; Nebe, Gabriele 4 1998 Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002 Nebe, Gabriele 4 2013 Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012 Künzer, M.; Nebe, G. 4 2003 Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037 Nebe, Gabriele 4 2016 Orthogonal determinants of characters. Zbl 1514.20030 Nebe, Gabriele 4 2022 An analogue of the Pless symmetry code. Zbl 1433.94130 Nebe, Gabriele; Villar, Darwin 4 2013 On the radical idealizer chain of symmetric orders. Zbl 1068.16018 Nebe, Gabriele 3 2005 Über gerade unimodulare Gitter der Dimension 32. III. Mit einem Anhang von Gabriele Nebe: Die Funktion \(g^ A\) für einige Gitter mit Nachbardefekt 8. (On even unimodular lattices of dimension 32. III. With an appendix by Gabriele Nebe: The function \(g^ A\) for some lattices with neighbour defect 8). Zbl 0736.11022 Koch, Helmut; Venkov, Boris B. 3 1991 Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041 Nebe, Gabriele; Venkov, Boris B. 3 1996 Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069 Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris 3 2013 Maximal finite subgroups and minimal classes. Zbl 1325.16014 Coulangeon, Renaud; Nebe, Gabriele 3 2014 Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334 Nebe, Gabriele 3 2002 The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\). Zbl 1283.94108 Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele 3 2013 On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075 Pellarin, Federico; Nebe, Gabriele 3 2020 On extremal self-dual ternary codes of length 48. Zbl 1251.94046 Nebe, Gabriele 2 2012 Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103 Nebe, Gabriele; Venkov, Boris 2 2010 The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016 Nebe, Gabriele 2 2002 Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050 Bachoc, Christine; Nebe, Gabriele 2 2002 Strongly modular lattices with long shadow. Zbl 1078.11047 Nebe, Gabriele 2 2004 Cayley orders. Zbl 0856.20030 Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 2 1996 Dense lattices as Hermitian tensor products. Zbl 1298.11063 Coulangeon, Renaud; Nebe, Gabriele 2 2013 A nilpotent non abelian group code. Zbl 1354.94069 Nebe, Gabriele; Schäfer, Artur 2 2014 The orthogonal character table of \(\mathrm{SL}_{2}(q)\). Zbl 1467.20003 Braun, Oliver; Nebe, Gabriele 2 2017 On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156 Borello, Martino; Nebe, Gabriele 2 2015 \(s\)-extremal strongly modular lattices. Zbl 1196.11097 Nebe, Gabriele; Schindelar, Kristina 2 2007 Strongly perfect lattices sandwiched between Barnes-Wall lattices. Zbl 1467.11061 Hu, Sihuang; Nebe, Gabriele 2 2020 Orders and polytropes: matrix algebras from valuations. Zbl 1502.14149 El Maazouz, Yassine; Hahn, Marvin Anas; Nebe, Gabriele; Stanojkovski, Mima; Sturmfels, Bernd 2 2022 One class genera of lattice chains over number fields. Zbl 1425.11065 Kirschmer, Markus; Nebe, Gabriele 2 2017 Construction and investigation of lattices with matrix groups. Zbl 0970.11025 Nebe, Gabriele 1 1999 The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008 Nebe, Gabriele 1 2000 The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009 Nebe, Gabriele 1 2000 On the cokernel of the Witt decomposition map. Zbl 0993.11020 Nebe, Gabriele 1 2000 The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003 Nebe, Gabriele 1 1998 Even lattices with covering radius \(< \sqrt{2}\). Zbl 1142.11340 Nebe, Gabriele 1 2003 On group ring automorphisms. Zbl 1054.20002 Hertweck, Martin; Nebe, Gabriele 1 2004 On lattices whose minimal vectors form a 6-design. Zbl 1172.05010 Nebe, Gabriele; Venkov, Boris 1 2009 Finite Weil representations and associated Hecke algebras. Zbl 1247.11061 Nebe, Gabriele 1 2009 Clifford-Weil groups of quotient representations. Zbl 1210.94111 Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110 Günther, Annika; Nebe, Gabriele 1 2008 Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026 Nebe, Gabriele; Teider, Maria 1 2005 On blocks with cyclic defect groups and their head orders. Zbl 1072.20011 Nebe, Gabriele 1 2005 Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012 Koch, Helmut; Nebe, Gabriele 1 1993 On extremal even unimodular 72-dimensional lattices. Zbl 1283.11099 Nebe, Gabriele; Parker, Richard 1 2014 Quaternary quadratic lattices over number fields. Zbl 1439.11107 Kirschmer, Markus; Nebe, Gabriele 1 2019 Degenerate flag varieties in network coding. Zbl 1522.94134 Fourier, Ghislain; Nebe, Gabriele 1 2023 Equivariant quadratic forms in characteristic 2. Zbl 07738011 Nebe, Gabriele; Parker, Richard 1 2023 Self-dual codes over chain rings. Zbl 1456.94132 Eisenbarth, Simon; Nebe, Gabriele 1 2020 A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083 Nebe, Gabriele; Xing, Chaoping 1 2008 Orthogonal stability. Zbl 1521.20019 Nebe, Gabriele; Parker, Richard 1 2023 Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064 Coulangeon, Renaud; Nebe, Gabriele 1 2020 Bolytrope orders. Zbl 1520.11096 El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima 1 2023 Automorphisms of modular lattices. Zbl 1469.11227 Nebe, Gabriele 1 2021 Degenerate flag varieties in network coding. Zbl 1522.94134 Fourier, Ghislain; Nebe, Gabriele 1 2023 Equivariant quadratic forms in characteristic 2. Zbl 07738011 Nebe, Gabriele; Parker, Richard 1 2023 Orthogonal stability. Zbl 1521.20019 Nebe, Gabriele; Parker, Richard 1 2023 Bolytrope orders. Zbl 1520.11096 El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima 1 2023 Orthogonal determinants of characters. Zbl 1514.20030 Nebe, Gabriele 4 2022 Orders and polytropes: matrix algebras from valuations. Zbl 1502.14149 El Maazouz, Yassine; Hahn, Marvin Anas; Nebe, Gabriele; Stanojkovski, Mima; Sturmfels, Bernd 2 2022 Automorphisms of modular lattices. Zbl 1469.11227 Nebe, Gabriele 1 2021 On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075 Pellarin, Federico; Nebe, Gabriele 3 2020 Strongly perfect lattices sandwiched between Barnes-Wall lattices. Zbl 1467.11061 Hu, Sihuang; Nebe, Gabriele 2 2020 Self-dual codes over chain rings. Zbl 1456.94132 Eisenbarth, Simon; Nebe, Gabriele 1 2020 Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064 Coulangeon, Renaud; Nebe, Gabriele 1 2020 Quaternary quadratic lattices over number fields. Zbl 1439.11107 Kirschmer, Markus; Nebe, Gabriele 1 2019 Network coding with flags. Zbl 1412.94254 Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles 11 2018 The orthogonal character table of \(\mathrm{SL}_{2}(q)\). Zbl 1467.20003 Braun, Oliver; Nebe, Gabriele 2 2017 One class genera of lattice chains over number fields. Zbl 1425.11065 Kirschmer, Markus; Nebe, Gabriele 2 2017 Automorphism groups of Gabidulin-like codes. Zbl 1348.94086 Liebhold, Dirk; Nebe, Gabriele 25 2016 On self-dual MRD codes. Zbl 1348.94100 Nebe, Gabriele; Willems, Wolfgang 7 2016 Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037 Nebe, Gabriele 4 2016 Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014 Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian 10 2015 On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156 Borello, Martino; Nebe, Gabriele 2 2015 A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042 Nebe, Gabriele 5 2014 Maximal finite subgroups and minimal classes. Zbl 1325.16014 Coulangeon, Renaud; Nebe, Gabriele 3 2014 A nilpotent non abelian group code. Zbl 1354.94069 Nebe, Gabriele; Schäfer, Artur 2 2014 On extremal even unimodular 72-dimensional lattices. Zbl 1283.11099 Nebe, Gabriele; Parker, Richard 1 2014 On tight spherical designs. Zbl 1271.05021 Nebe, G.; Venkov, B. 13 2013 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058 Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 7 2013 On automorphisms of extremal even unimodular lattices. Zbl 1282.11075 Nebe, Gabriele 7 2013 Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002 Nebe, Gabriele 4 2013 An analogue of the Pless symmetry code. Zbl 1433.94130 Nebe, Gabriele; Villar, Darwin 4 2013 Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069 Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris 3 2013 The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\). Zbl 1283.94108 Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele 3 2013 Dense lattices as Hermitian tensor products. Zbl 1298.11063 Coulangeon, Renaud; Nebe, Gabriele 2 2013 An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066 Nebe, Gabriele 14 2012 On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094 Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 5 2012 The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676 Feulner, Thomas; Nebe, Gabriele 5 2012 An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045 Nebe, Gabriele 4 2012 On extremal self-dual ternary codes of length 48. Zbl 1251.94046 Nebe, Gabriele 2 2012 On the equivalence of quadratic APN functions. Zbl 1250.11101 Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele 8 2011 On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062 Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 7 2010 On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048 Böcherer, Siegfried; Nebe, Gabriele 4 2010 Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103 Nebe, Gabriele; Venkov, Boris 2 2010 Lower bounds for measurable chromatic numbers. Zbl 1214.05022 Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank 18 2009 Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267 Günther, Annika; Nebe, Gabriele 9 2009 Recognition of division algebras. Zbl 1184.16054 Nebe, Gabriele; Steel, Allan 8 2009 Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107 Hentschel, Michael; Nebe, Gabriele 5 2009 On lattices whose minimal vectors form a 6-design. Zbl 1172.05010 Nebe, Gabriele; Venkov, Boris 1 2009 Finite Weil representations and associated Hecke algebras. Zbl 1247.11061 Nebe, Gabriele 1 2009 Clifford-Weil groups of quotient representations. Zbl 1210.94111 Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110 Günther, Annika; Nebe, Gabriele 1 2008 A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083 Nebe, Gabriele; Xing, Chaoping 1 2008 Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) Zbl 1177.16002 6 2007 \(s\)-extremal strongly modular lattices. Zbl 1196.11097 Nebe, Gabriele; Schindelar, Kristina 2 2007 Self-dual codes and invariant theory. Zbl 1173.94447 Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 66 2006 Kneser-Hecke-operators in coding theory. Zbl 1122.94053 Nebe, G. 8 2006 On the Euclidean minimum of some real number fields. Zbl 1161.11032 Bayer-Fluckiger, Eva; Nebe, Gabriele 22 2005 Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031 Nebe, Gabriele; Venkov, Boris 7 2005 On the radical idealizer chain of symmetric orders. Zbl 1068.16018 Nebe, Gabriele 3 2005 Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026 Nebe, Gabriele; Teider, Maria 1 2005 On blocks with cyclic defect groups and their head orders. Zbl 1072.20011 Nebe, Gabriele 1 2005 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013 Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 10 2004 Codes and invariant theory. Zbl 1077.94024 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Globally maximal arithmetic groups. Zbl 1113.20040 Gross, Benedict H.; Nebe, Gabriele 8 2004 Strongly modular lattices with long shadow. Zbl 1078.11047 Nebe, Gabriele 2 2004 On group ring automorphisms. Zbl 1054.20002 Hertweck, Martin; Nebe, Gabriele 1 2004 Unimodular lattices with long shadow. Zbl 1081.11049 Nebe, Gabriele; Venkov, Boris 7 2003 Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012 Künzer, M.; Nebe, G. 4 2003 Even lattices with covering radius \(< \sqrt{2}\). Zbl 1142.11340 Nebe, Gabriele 1 2003 Designs in Grassmannian spaces and lattices. Zbl 1035.05027 Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele 22 2002 Lattice chain models for affine buildings of classical type. Zbl 1113.20028 Abramenko, Peter; Nebe, Gabriele 19 2002 Odd unimodular lattices of minimum 4. Zbl 0998.11034 Bachoc, Christine; Nebe, Gabriele; Venkov, Boris 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 5 2002 Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334 Nebe, Gabriele 3 2002 The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016 Nebe, Gabriele 2 2002 Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050 Bachoc, Christine; Nebe, Gabriele 2 2002 The invariants of the Clifford groups. Zbl 1002.11057 Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 On Siegel modular forms of weight 12. Zbl 0997.11039 Nebe, Gabriele; Venkov, Boris 12 2001 The strongly perfect lattices of dimension 10. Zbl 0997.11049 Nebe, Gabriele; Venkov, Boris 12 2000 Orthogonal Frobenius reciprocity. Zbl 0954.20005 Nebe, Gabriele 5 2000 Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004 Nebe, Gabriele 4 2000 The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008 Nebe, Gabriele 1 2000 The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009 Nebe, Gabriele 1 2000 On the cokernel of the Witt decomposition map. Zbl 0993.11020 Nebe, Gabriele 1 2000 The root lattices of the complex reflection groups. Zbl 0930.20048 Nebe, Gabriele 8 1999 Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005 Nebe, Gabriele 8 1999 Construction and investigation of lattices with matrix groups. Zbl 0970.11025 Nebe, Gabriele 1 1999 Finite quaternionic matrix groups. Zbl 0901.20035 Nebe, Gabriele 23 1998 Some cyclo-quaternionic lattices. Zbl 0897.11022 Nebe, Gabriele 16 1998 Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021 Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 8 1998 Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043 Bachoc, Christine; Nebe, Gabriele 4 1998 The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003 Nebe, Gabriele 1 1998 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021 Bachoc, Christine; Nebe, Gabriele 10 1997 The normaliser action and strongly modular lattices. Zbl 0898.11026 Nebe, Gabriele 5 1997 Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031 Nebe, Gabriele 13 1996 Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029 Nebe, Gabriele 7 1996 Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041 Nebe, Gabriele; Venkov, Boris B. 3 1996 Cayley orders. Zbl 0856.20030 Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 2 1996 Finite rational matrix groups. Zbl 0837.20056 Nebe, G.; Plesken, W. 29 1995 Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057 Nebe, Gabriele 7 1995 Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012 Koch, Helmut; Nebe, Gabriele 1 1993 Über gerade unimodulare Gitter der Dimension 32. III. Mit einem Anhang von Gabriele Nebe: Die Funktion \(g^ A\) für einige Gitter mit Nachbardefekt 8. (On even unimodular lattices of dimension 32. III. With an appendix by Gabriele Nebe: The function \(g^ A\) for some lattices with neighbour defect 8). Zbl 0736.11022 Koch, Helmut; Venkov, Boris B. 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 555 Authors 49 Nebe, Gabriele 13 Vallentin, Frank 12 Zullo, Ferdinando 11 Bachoc, Christine 9 Bannai, Eiichi 9 Dougherty, Steven T. 8 Harada, Masaaki 8 Kirschmer, Markus 8 Oura, Manabu 7 Bayer-Fluckiger, Eva 7 de Oliveira Filho, Fernando Mário 7 Ehler, Martin 7 Ferrari, Agnaldo José 7 Kim, Jon-Lark 6 Gräf, Manuel 6 Jitman, Somphong 6 Jorge, Grasiele Cristiane 6 Navarro-Pérez, Miguel Ángel 6 Venkov, Boris B. 5 Alonso-González, Clementa 5 Borello, Martino 5 Costa, Sueli Irene Rodrigues 5 Coulangeon, Renaud 5 Krieg, Aloys 5 Miezaki, Tsuyoshi 5 Schönnenbeck, Sebastian 5 Soler-Escrivà, Xaro 5 Zanella, Corrado 4 Bannai, Etsuko 4 Csajbók, Bence 4 de Andrade, Antonio Aparecido 4 de la Cruz, Javier 4 Dymarsky, Anatoly 4 Eisele, Florian 4 Fukshansky, Lenny 4 Hu, Sihuang 4 Lee, Yoonjin 4 Long, Ling 4 Marino, Giuseppe 4 Rains, Eric M. 4 Schürmann, Achill 4 Shi, Minjia 4 Swisher, Holly 4 Tonchev, Vladimir D. 4 Zhou, Yue 4 Zhu, Yan 3 Abdukhalikov, Kanat S. 3 Achar, Pramod N. 3 Aubert, Anne-Marie 3 Böcherer, Siegfried 3 Braun, Oliver 3 Chakraborty, Himadri Shekhar 3 Chenevier, Gaëtan 3 Crnković, Dean 3 de Laat, David 3 DeCorte, Evan 3 Dutour-Sikiric, Mathieu 3 Fan, Yun 3 Gaborit, Philippe 3 Hentschel, Michael 3 Kurz, Sascha 3 Margolis, Leo 3 Munemasa, Akihiro 3 Nagaoka, Shoyu 3 Nozaki, Hiroshi 3 Panicaud, Benoit 3 Park, Youngho 3 Parker, Richard A. 3 Plesken, Wilhelm 3 Polverino, Olga 3 Rahm, Alexander Daniel 3 Rehman, Abdur 3 Schulze-Pillot, Rainer 3 Sheekey, John 3 Sloane, Neil James Alexander 3 Tiep Pham Huu 3 Yu, Wei-Hsuan 3 Zhao, Da 2 Aghamollaei, Gholamreza 2 Ali, Ilyas 2 Araya, Makoto 2 Arenas-Carmona, Luis 2 Bardestani, Mohammad 2 Basak, Tathagata 2 Benson, David John 2 Betsumiya, Koichi 2 Boĭvalenkov, Pet”r Georgiev 2 Breger, Anna 2 Bui, Anh Tuan 2 Carmelo Interlando, J. 2 Chiera, Francesco Ludovico 2 Choi, Whan-Hyuk 2 De Araujo, Robson Ricardo 2 Dempwolff, Ulrich 2 Detinko, Alla S. 2 Dummigan, Neil 2 Eisenbarth, Simon 2 Etayo, Ujué 2 Flannery, Dane Laurence 2 Fuselier, Jenny G. ...and 455 more Authors all top 5 Cited in 126 Serials 39 Journal of Algebra 30 Designs, Codes and Cryptography 28 Finite Fields and their Applications 27 Journal of Number Theory 16 Journal de Théorie des Nombres de Bordeaux 16 International Journal of Number Theory 14 Discrete Mathematics 13 Advances in Mathematics of Communications 12 Archiv der Mathematik 12 Journal of Algebraic Combinatorics 9 Mathematics of Computation 9 Linear Algebra and its Applications 8 Advances in Mathematics 8 Experimental Mathematics 7 Journal of High Energy Physics 7 Journal of Algebra, Combinatorics, Discrete Structures and Applications 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Journal of Pure and Applied Algebra 6 European Journal of Combinatorics 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Discrete & Computational Geometry 4 Communications in Algebra 4 Journal of the London Mathematical Society. Second Series 4 Transactions of the American Mathematical Society 4 Mathematical Programming. Series A. Series B 4 Applicable Algebra in Engineering, Communication and Computing 3 Communications in Mathematical Physics 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Results in Mathematics 3 Journal of Complexity 3 St. Petersburg Mathematical Journal 3 Representation Theory 3 The Ramanujan Journal 3 Journal of Algebra and its Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Korean Journal of Mathematics 2 Acta Mechanica 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 Geometriae Dedicata 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Graphs and Combinatorics 2 Constructive Approximation 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Applied and Computational Harmonic Analysis 2 Mathematical Problems in Engineering 2 Journal of Group Theory 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Applied Mathematics and Computing 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete Mathematics, Algorithms and Applications 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Research in Number Theory 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Geometry 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Journal of Symbolic Computation 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 SIAM Journal on Optimization 1 Computational Complexity 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Filomat 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 Transformation Groups 1 Taiwanese Journal of Mathematics ...and 26 more Serials all top 5 Cited in 44 Fields 241 Number theory (11-XX) 160 Information and communication theory, circuits (94-XX) 111 Group theory and generalizations (20-XX) 91 Combinatorics (05-XX) 34 Geometry (51-XX) 33 Associative rings and algebras (16-XX) 26 Convex and discrete geometry (52-XX) 24 Algebraic geometry (14-XX) 21 Quantum theory (81-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Operations research, mathematical programming (90-XX) 13 Topological groups, Lie groups (22-XX) 12 Nonassociative rings and algebras (17-XX) 10 Computer science (68-XX) 9 Special functions (33-XX) 9 Numerical analysis (65-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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