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Author ID: bachoc.christine Recent zbMATH articles by "Bachoc, Christine"
Published as: Bachoc, Christine; Bachoc, C.

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 573 times in 431 Documents Cited by Year
New upper bounds for kissing numbers from semidefinite programming. Zbl 1223.90039
Bachoc, Christine; Vallentin, Frank
66
2008
Applications of coding theory to the construction of modular lattices. Zbl 0876.94053
Bachoc, Christine
60
1997
Type II codes over \(\mathbb{Z}_4\). Zbl 0898.94009
Bonnecaze, Alexis; Solé, Patrick; Bachoc, Christine; Mourrain, Bernard
49
1997
Invariant semidefinite programs. Zbl 1334.90097
Bachoc, Christine; Gijswijt, Dion C.; Schrijver, Alexander; Vallentin, Frank
32
2012
On harmonic weight enumerators of binary codes. Zbl 0961.94012
Bachoc, Christine
32
1999
Modular forms, lattices and spherical designs. Zbl 1061.11035
Bachoc, Christine; Venkov, Boris
24
2001
Tight \(p\)-fusion frames. Zbl 1293.42031
Bachoc, C.; Ehler, M.
23
2013
Designs in Grassmannian spaces and lattices. Zbl 1035.05027
Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele
22
2002
Codes and designs in Grassmannian spaces. Zbl 1040.05005
Bachoc, Christine; Bannai, Eiichi; Coulangeon, Renaud
22
2004
An analogue of Vosper’s theorem for extension fields. Zbl 1405.11134
Bachoc, Christine; Serra, Oriol; Zémor, Gilles
20
2017
Lower bounds for measurable chromatic numbers. Zbl 1214.05022
Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank
18
2009
Linear programming bounds for codes in Grassmannian spaces. Zbl 1282.94106
Bachoc, Christine
17
2006
Designs and self-dual codes with long shadows. Zbl 1044.94015
Bachoc, Christine; Gaborit, Philippe
15
2004
Bounds for projective codes from semidefinite programming. Zbl 1317.94164
Bachoc, Christine; Passuello, Alberto; Vallentin, Frank
13
2013
The density of sets avoiding distance 1 in Euclidean space. Zbl 1327.52032
Bachoc, Christine; Passuello, Alberto; Thiery, Alain
12
2015
Optimality and uniqueness of the \((4,10,1/6)\) spherical code. Zbl 1160.94018
Bachoc, Christine; Vallentin, Frank
11
2009
Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep. Zbl 1012.11054
Lempken, Wolfgang; Schröder, Bernd; Pham Huu Tiep
11
2001
Spectral bounds for the independence ratio and the chromatic number of an operator. Zbl 1302.05047
Bachoc, Christine; DeCorte, Evan; de Oliveira Filho, Fernando Mário; Vallentin, Frank
11
2014
Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021
Bachoc, Christine; Nebe, Gabriele
10
1997
Designs, groups and lattices. Zbl 1074.05023
Bachoc, Christine
10
2005
Squares and difference sets in finite fields. Zbl 1284.11030
Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z.
10
2013
Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps. Zbl 1171.94378
Bachoc, Christine; Vallentin, Frank
9
2009
Etude algorithmique de réseaux construits avec la forme trace. (Algorithmic study of lattices constructed by means of the trace form). Zbl 0787.11024
Bachoc, Christine; Batut, Christian
9
1992
Neighborhood in the sense of Kneser for quaternionic lattices. (Voisinage au sens de Kneser pour les réseaux quaternioniens.) Zbl 0843.11022
Bachoc, Christine
7
1995
On extensions with Galois group \(\tilde A_ 4\). (Sur les extensions de groupe de Galois \(\tilde A_ 4\).) Zbl 0784.11051
Bachoc, C.; Kwon, S.-H.
7
1992
Isodual codes over \(\mathbb{Z}_{2k}\) and isodual lattices. Zbl 0963.94040
Bachoc, Christine; Gulliver, T. Aaron; Harada, Masaaki
7
2000
On the theta number of powers of cycle graphs. Zbl 1349.05100
Bachoc, Christine; Pêcher, Arnaud; Thiéry, Alain
7
2013
Revisiting Kneser’s theorem for field extensions. Zbl 1413.11115
Bachoc, Christine; Serra, Oriol; Zémor, Gilles
7
2018
Signal reconstruction from the magnitude of subspace components. Zbl 1359.94057
Bachoc, Christine; Ehler, Martin
6
2015
Trace form and wild ramification. (Forme trace et ramification sauvage.) Zbl 0708.11059
Bachoc, Christine; Erez, Boas
5
1990
Odd unimodular lattices of minimum 4. Zbl 0998.11034
Bachoc, Christine; Nebe, Gabriele; Venkov, Boris
5
2002
The theta number of simplicial complexes. Zbl 1419.90109
Bachoc, Christine; Gundert, Anna; Passuello, Alberto
5
2019
Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043
Bachoc, Christine; Nebe, Gabriele
4
1998
Harmonic weight enumerators of nonbinary codes and MacWilliams identities. Zbl 1017.94012
Bachoc, Christine
4
2001
On the Hermitian structure of the square root of the inverse different. (Sur la structure hermitienne de la racine carrée de la codifférente.) Zbl 0789.11062
Bachoc, Christine
3
1993
Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050
Bachoc, Christine; Nebe, Gabriele
2
2002
On extremal additive \({\mathbb{F}}_4\) codes of length 10 to 18. Zbl 1007.94027
Bachoc, Christine; Gaborit, Philippe
2
2000
Sur les réseaux unimodulaires pour \(Trace(X^ 2)\). (On unimodular lattices for \(Trace(X^ 2))\). Zbl 0734.11029
Bachoc, Christine
2
1990
On the density of sets avoiding parallelohedron distance 1. Zbl 1430.52022
Bachoc, Christine; Bellitto, Thomas; Moustrou, Philippe; Pêcher, Arnaud
2
2019
Bounds for codes in products of spaces, Grassmann, and Stiefel manifolds. Zbl 1311.94116
Bachoc, Christine; Ben-Haim, Yael; Litsyn, Simon
1
2008
Bounds for binary codes relative to pseudo-distances of \(k\) points. Zbl 1213.94198
Bachoc, Christine; Zémor, Gilles
1
2010
Towards a function field version of Freiman’s theorem. Zbl 1439.11283
Bachoc, Christine; Couvreur, Alain; Zémor, Gilles
1
2018
The theta number of simplicial complexes. Zbl 1419.90109
Bachoc, Christine; Gundert, Anna; Passuello, Alberto
5
2019
On the density of sets avoiding parallelohedron distance 1. Zbl 1430.52022
Bachoc, Christine; Bellitto, Thomas; Moustrou, Philippe; Pêcher, Arnaud
2
2019
Revisiting Kneser’s theorem for field extensions. Zbl 1413.11115
Bachoc, Christine; Serra, Oriol; Zémor, Gilles
7
2018
Towards a function field version of Freiman’s theorem. Zbl 1439.11283
Bachoc, Christine; Couvreur, Alain; Zémor, Gilles
1
2018
An analogue of Vosper’s theorem for extension fields. Zbl 1405.11134
Bachoc, Christine; Serra, Oriol; Zémor, Gilles
20
2017
The density of sets avoiding distance 1 in Euclidean space. Zbl 1327.52032
Bachoc, Christine; Passuello, Alberto; Thiery, Alain
12
2015
Signal reconstruction from the magnitude of subspace components. Zbl 1359.94057
Bachoc, Christine; Ehler, Martin
6
2015
Spectral bounds for the independence ratio and the chromatic number of an operator. Zbl 1302.05047
Bachoc, Christine; DeCorte, Evan; de Oliveira Filho, Fernando Mário; Vallentin, Frank
11
2014
Tight \(p\)-fusion frames. Zbl 1293.42031
Bachoc, C.; Ehler, M.
23
2013
Bounds for projective codes from semidefinite programming. Zbl 1317.94164
Bachoc, Christine; Passuello, Alberto; Vallentin, Frank
13
2013
Squares and difference sets in finite fields. Zbl 1284.11030
Bachoc, C.; Matolcsi, M.; Ruzsa, I. Z.
10
2013
On the theta number of powers of cycle graphs. Zbl 1349.05100
Bachoc, Christine; Pêcher, Arnaud; Thiéry, Alain
7
2013
Invariant semidefinite programs. Zbl 1334.90097
Bachoc, Christine; Gijswijt, Dion C.; Schrijver, Alexander; Vallentin, Frank
32
2012
Bounds for binary codes relative to pseudo-distances of \(k\) points. Zbl 1213.94198
Bachoc, Christine; Zémor, Gilles
1
2010
Lower bounds for measurable chromatic numbers. Zbl 1214.05022
Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank
18
2009
Optimality and uniqueness of the \((4,10,1/6)\) spherical code. Zbl 1160.94018
Bachoc, Christine; Vallentin, Frank
11
2009
Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps. Zbl 1171.94378
Bachoc, Christine; Vallentin, Frank
9
2009
New upper bounds for kissing numbers from semidefinite programming. Zbl 1223.90039
Bachoc, Christine; Vallentin, Frank
66
2008
Bounds for codes in products of spaces, Grassmann, and Stiefel manifolds. Zbl 1311.94116
Bachoc, Christine; Ben-Haim, Yael; Litsyn, Simon
1
2008
Linear programming bounds for codes in Grassmannian spaces. Zbl 1282.94106
Bachoc, Christine
17
2006
Designs, groups and lattices. Zbl 1074.05023
Bachoc, Christine
10
2005
Codes and designs in Grassmannian spaces. Zbl 1040.05005
Bachoc, Christine; Bannai, Eiichi; Coulangeon, Renaud
22
2004
Designs and self-dual codes with long shadows. Zbl 1044.94015
Bachoc, Christine; Gaborit, Philippe
15
2004
Designs in Grassmannian spaces and lattices. Zbl 1035.05027
Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele
22
2002
Odd unimodular lattices of minimum 4. Zbl 0998.11034
Bachoc, Christine; Nebe, Gabriele; Venkov, Boris
5
2002
Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050
Bachoc, Christine; Nebe, Gabriele
2
2002
Modular forms, lattices and spherical designs. Zbl 1061.11035
Bachoc, Christine; Venkov, Boris
24
2001
Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep. Zbl 1012.11054
Lempken, Wolfgang; Schröder, Bernd; Pham Huu Tiep
11
2001
Harmonic weight enumerators of nonbinary codes and MacWilliams identities. Zbl 1017.94012
Bachoc, Christine
4
2001
Isodual codes over \(\mathbb{Z}_{2k}\) and isodual lattices. Zbl 0963.94040
Bachoc, Christine; Gulliver, T. Aaron; Harada, Masaaki
7
2000
On extremal additive \({\mathbb{F}}_4\) codes of length 10 to 18. Zbl 1007.94027
Bachoc, Christine; Gaborit, Philippe
2
2000
On harmonic weight enumerators of binary codes. Zbl 0961.94012
Bachoc, Christine
32
1999
Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043
Bachoc, Christine; Nebe, Gabriele
4
1998
Applications of coding theory to the construction of modular lattices. Zbl 0876.94053
Bachoc, Christine
60
1997
Type II codes over \(\mathbb{Z}_4\). Zbl 0898.94009
Bonnecaze, Alexis; Solé, Patrick; Bachoc, Christine; Mourrain, Bernard
49
1997
Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021
Bachoc, Christine; Nebe, Gabriele
10
1997
Neighborhood in the sense of Kneser for quaternionic lattices. (Voisinage au sens de Kneser pour les réseaux quaternioniens.) Zbl 0843.11022
Bachoc, Christine
7
1995
On the Hermitian structure of the square root of the inverse different. (Sur la structure hermitienne de la racine carrée de la codifférente.) Zbl 0789.11062
Bachoc, Christine
3
1993
Etude algorithmique de réseaux construits avec la forme trace. (Algorithmic study of lattices constructed by means of the trace form). Zbl 0787.11024
Bachoc, Christine; Batut, Christian
9
1992
On extensions with Galois group \(\tilde A_ 4\). (Sur les extensions de groupe de Galois \(\tilde A_ 4\).) Zbl 0784.11051
Bachoc, C.; Kwon, S.-H.
7
1992
Trace form and wild ramification. (Forme trace et ramification sauvage.) Zbl 0708.11059
Bachoc, Christine; Erez, Boas
5
1990
Sur les réseaux unimodulaires pour \(Trace(X^ 2)\). (On unimodular lattices for \(Trace(X^ 2))\). Zbl 0734.11029
Bachoc, Christine
2
1990
all top 5

Cited by 547 Authors

22 Harada, Masaaki
21 Nebe, Gabriele
19 Bachoc, Christine
19 Solé, Patrick
17 Vallentin, Frank
15 Miezaki, Tsuyoshi
13 Ehler, Martin
12 Munemasa, Akihiro
11 de Oliveira Filho, Fernando Mário
9 Bannai, Eiichi
8 Gräf, Manuel
7 Gaborit, Philippe
7 Gulliver, Thomas Aaron
7 Venkov, Boris B.
7 Zhu, Shixin
6 Dougherty, Steven T.
6 Guenda, Kenza
6 Nakasora, Hiroyuki
6 Yu, Wei-Hsuan
6 Zhang, He
5 de Klerk, Etienne
5 de Laat, David
5 Liu, Hongwei
5 Moustrou, Philippe
5 Oggier, Frédérique E.
4 Batoul, Aicha
4 Bodmann, Bernhard G.
4 Kai, Xiaoshan
4 Kim, Jon-Lark
4 Krieg, Aloys
4 Kurz, Sascha
4 Lee, Yoonjin
4 Musin, Oleg R.
4 Okuda, Takayuki
4 Tanaka, Hajime
4 Tang, Chunming
4 Yildiz, Bahattin
3 Ankur, Raghav
3 Bannai, Etsuko
3 Barg, Alexander M.
3 Bayer-Fluckiger, Eva
3 Bétermin, Laurent
3 Bonnecaze, Alexis
3 Breger, Anna
3 Byrne, Eimear
3 Cao, Xiwang
3 Cao, Yonglin
3 Cao, Yuan
3 Chakraborty, Himadri Shekhar
3 Chua, Kok Seng
3 Cohn, Henry Lee
3 Coulangeon, Renaud
3 DeCorte, Evan
3 Dostert, Maria
3 Fickus, Matthew C.
3 Glazyrin, Alexey
3 Golubev, Konstantin
3 Hentschel, Michael
3 Huffman, W. Cary
3 Jasper, John Sahayam
3 Kaya, Abidin
3 King, Emily Jeannette
3 Kominers, Scott Duke
3 Liberti, Leo
3 Ling, San
3 Nozaki, Hiroshi
3 Oura, Manabu
3 Pandian, P. Chella
3 Parrilo, Pablo A.
3 Pêcher, Arnaud
3 Pless, Vera S.
3 Polak, Sven C.
3 Rains, Eric M.
3 Roy, Aidan
3 Scharlau, Rudolf
3 Sharma, Anuradha
3 Sotirov, Renata
3 Wang, Guidong
3 Yadav, Monika
3 Yip, Chi Hoi
3 Zémor, Gilles
3 Zhang, Tao
3 Zullo, Ferdinando
2 Abdukhalikov, Kanat S.
2 Alahmadi, Adel N.
2 Annamalai, N.
2 Aydin, Nuh
2 Bardestani, Mohammad
2 Batut, Christian
2 Bellitto, Thomas
2 Brauchart, Johann S.
2 Brosch, Daniel
2 Burns, David John
2 Cafuta, Kristijan
2 Caluza Machado, Fabrício
2 Casazza, Peter George
2 Castro-Silva, Davi
2 Chapman, Robin J.
2 Choie, YoungJu
2 Dinh, Hai Quang
...and 447 more Authors
all top 5

Cited in 133 Serials

36 Designs, Codes and Cryptography
27 Finite Fields and their Applications
19 Discrete Mathematics
16 European Journal of Combinatorics
13 Journal of Number Theory
13 Journal de Théorie des Nombres de Bordeaux
11 Advances in Mathematics of Communications
10 Discrete & Computational Geometry
10 Mathematical Programming. Series A. Series B
9 Journal of Combinatorial Theory. Series A
8 Journal of Algebra
7 Linear Algebra and its Applications
7 Experimental Mathematics
7 The Electronic Journal of Combinatorics
6 Mathematics of Computation
6 SIAM Journal on Optimization
6 Journal of Algebraic Combinatorics
6 International Journal of Number Theory
5 Advances in Mathematics
5 Applied and Computational Harmonic Analysis
5 Journal of Combinatorial Designs
5 Oberwolfach Reports
5 Asian-European Journal of Mathematics
5 Discrete Mathematics, Algorithms and Applications
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Journal of Pure and Applied Algebra
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
4 Graphs and Combinatorics
4 Applicable Algebra in Engineering, Communication and Computing
4 Cryptography and Communications
4 Algebraic Combinatorics
3 Israel Journal of Mathematics
3 Linear and Multilinear Algebra
3 Journal of the London Mathematical Society. Second Series
3 Transactions of the American Mathematical Society
3 Journal of Complexity
3 Constructive Approximation
3 SIAM Journal on Discrete Mathematics
3 Computational and Applied Mathematics
3 Journal of Systems Science and Complexity
3 SIAM Journal on Applied Algebra and Geometry
2 Journal of the Franklin Institute
2 Journal of Mathematical Physics
2 Annales de l’Institut Fourier
2 Journal of the Mathematical Society of Japan
2 Journal of Statistical Planning and Inference
2 Acta Mathematica Hungarica
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Geometric and Functional Analysis. GAFA
2 European Journal of Operational Research
2 St. Petersburg Mathematical Journal
2 The Ramanujan Journal
2 Journal of Discrete Mathematical Sciences & Cryptography
2 Journal of Algebra and its Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Forum of Mathematics, Sigma
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Problems of Information Transmission
1 ACM Transactions on Mathematical Software
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series B
1 Journal of Optimization Theory and Applications
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Theoretical Computer Science
1 Tokyo Journal of Mathematics
1 Operations Research Letters
1 Combinatorica
1 Journal of Symbolic Computation
1 Algorithmica
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Sugaku Expositions
1 International Journal of Foundations of Computer Science
1 The Journal of Geometric Analysis
1 SIAM Journal on Applied Mathematics
1 Expositiones Mathematicae
1 Foundations of Computing and Decision Sciences
1 The Australasian Journal of Combinatorics
1 Journal of Mathematical Imaging and Vision
1 Applied Mathematics. Series B (English Edition)
1 Combinatorics, Probability and Computing
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
...and 33 more Serials
all top 5

Cited in 43 Fields

183 Information and communication theory, circuits (94-XX)
156 Number theory (11-XX)
124 Combinatorics (05-XX)
74 Operations research, mathematical programming (90-XX)
43 Convex and discrete geometry (52-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
20 Geometry (51-XX)
19 Numerical analysis (65-XX)
18 Group theory and generalizations (20-XX)
14 Algebraic geometry (14-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
11 Field theory and polynomials (12-XX)
11 Functional analysis (46-XX)
10 Computer science (68-XX)
9 Commutative algebra (13-XX)
9 Quantum theory (81-XX)
8 Special functions (33-XX)
7 Associative rings and algebras (16-XX)
6 General and overarching topics; collections (00-XX)
6 Approximations and expansions (41-XX)
6 Statistics (62-XX)
5 Nonassociative rings and algebras (17-XX)
5 Differential geometry (53-XX)
4 Operator theory (47-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Topological groups, Lie groups (22-XX)
3 Potential theory (31-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Partial differential equations (35-XX)
2 Abstract harmonic analysis (43-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year