Boris Venkov

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All published works

Action	Title	Year	Authors
+ PDF Chat	On tight spherical designs	2013	Gabriele Nebe Boris Venkov
+ PDF Chat	Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.	2013	Gabriele Nebe Elisabeth Nossek Boris Venkov
+	On tight spherical designs	2012	Gabriele Nebe Boris Venkov
+ PDF Chat	LOW-DIMENSIONAL STRONGLY PERFECT LATTICES. III: DUAL STRONGLY PERFECT LATTICES OF DIMENSION 14	2010	Gabriele Nebe Boris Venkov
+ PDF Chat	Classification of ternary extremal self-dual codes of length 28	2009	Masaaki Harada Akihiro Munemasa Boris Venkov
+	On lattices whose minimal vectors form a 6-design	2008	Gabriele Nebe Boris Venkov
+	Low dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14	2008	Gabriele Nebe Boris Venkov
+ PDF Chat	Construction of spherical cubature formulas using lattices	2007	Pierre de la Harpe Claude Pache Boris Venkov
+ PDF Chat	The nonexistence of certain tight spherical designs	2005	Eiichi Bannaĭ Akihiro Munemasa Boris Venkov
+	Low dimensional strongly perfect lattices. I: The 12-dimensional case	2005	Gabriele Nebe Boris Venkov
+	On some self-dual codes and unimodular lattices in dimension 48	2005	Masaaki Harada Masaaki Kitazume Akihiro Munemasa Boris Venkov
+	Low dimensional strongly perfect lattices. I: The 12-dimensional case	2005	Gabriele Nebe Boris Venkov
+	Construction of spherical cubature formulas using lattices	2005	Pierre de la Harpe Claude Pache Boris Venkov
+	Unimodular lattices with long shadow	2003	Gabriele Nebe Boris Venkov
+ PDF Chat	Odd unimodular lattices of minimum 4	2002	Christine Bachoc Gabriele Nebe Boris Venkov
+	Groupes engendrés par des réflexions, designs sphériques et réseau de Leech	2001	Pierre de la Harpe Boris Venkov
+	On Siegel modular forms of weigth 12	2001	Gabriele Nebe Boris Venkov
+ PDF Chat	The strongly perfect lattices of dimension $10$	2000	Gabriele Nebe Boris Venkov
+ PDF Chat	Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines	1999	Roland Bacher Pierre de la Harpe Boris Venkov
+	Séries de croissance et séries d'Ehrhart associées aux réseaux de racines	1997	Roland Bacher Pierre de la Harpe Boris Venkov
+ PDF Chat	Lattices and association schemes: a unimodular example without roots in dimension 28	1995	Roland Bacher Boris Venkov
+	Even Unimodular 24-Dimensional Lattices	1993	Boris Venkov
+	Über gerade unimodulare Gitter der Dimension 32, III	1991	Helmut Koch Boris Venkov
+	Even unimodular Euclidean lattices of dimension 32.II	1987	Boris Venkov
+ PDF Chat	Unimodular lattices and strongly regular graphs	1985	Boris Venkov
+	Even unimodular Euclidean lattices in dimension 32	1984	Boris Venkov
+	Odd unimodular lattices	1981	Boris Venkov
+	Some homological properties of Burnside groups	1976	Boris Venkov
+	Cohomology of finite groups and elementary Abelian subgroups	1972	Daniel Quillen Boris Venkov

Common Coauthors

Coauthor	Papers Together
Gabriele Nebe	12
Pierre de la Harpe	5
Roland Bacher	3
Akihiro Munemasa	3
Claude Pache	2
Masaaki Harada	2
Christine Bachoc	1
Masaaki Kitazume	1
Elisabeth Nossek	1
Daniel Quillen	1
Eiichi Bannaĭ	1
Helmut Koch	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Tight spherical designs, I	1979	Eiichi Bannaĭ R. M. Damerell	6
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	6
+ PDF Chat	The strongly perfect lattices of dimension $10$	2000	Gabriele Nebe Boris Venkov	6
+	Tight Spherical Disigns, II	1980	Eiichi Bannaĭ R. M. Damerell	5
+ PDF Chat	New upper bounds on sphere packings I	2003	Henry Cohn Noam D. Elkies	5
+ PDF Chat	The nonexistence of certain tight spherical designs	2005	Eiichi Bannaĭ Akihiro Munemasa Boris Venkov	5
+ PDF Chat	Improved Linear Programming Bounds for Antipodal Spherical Codes	2002	Anstreicher	5
+	Quadratic and Hermitian Forms	1985	Winfried Scharlau	4
+ PDF Chat	Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators	2005	Pierre de la Harpe Claude Pache	3
+	A Course in Arithmetic	1973	Jean-Pierre Serre	3
+	A mass formula for unimodular lattices with no roots	2002	Oliver D. King	3
+ PDF Chat	Une famille infinie de formes quadratiques entières; leurs groupes d'automorphismes	1973	Michel Broué Michel Enguehard	3
+	Averaging sets: A generalization of mean values and spherical designs	1984	Paul Seymour Thomas Zasĺavsky	2
+	Self-Dual Codes	2002	Eric M. Rains N. J. A. Sloane	2
+	Low dimensional strongly perfect lattices. I: The 12-dimensional case	2005	Gabriele Nebe Boris Venkov	2
+ PDF Chat	Spherical designs and zeta functions of lattices	2006	Renaud Coulangeon	2
+	Mathematical crystal growth II	1981	David A. Klarner	2
+	Definite quadratische formen der dimension 24 und diskriminante 1	1973	Hans-Volker Niemeier	2
+	Polytopes convexes entiers	2024	Michel Brion	2
+	A Course in Arithmetic	1973	Jean Pierre Serre	2
+ PDF Chat	None	2002	Masaaki Harada Masaaki Kitazume Michio Ozeki	2
+	A Note on Optimal Unimodular Lattices	1998	John H. Conway N. J. A. Sloane	2
+ PDF Chat	Optimality and uniqueness of the Leech lattice among lattices	2009	Henry Cohn Abhinav Kumar	2
+	Symmetric Squares, Spherical Designs, and Lattice Minima	2001	Wolfgang Lempken Bernd S. W. Schröder Pham Huu Tiep	2
+ PDF Chat	Uniqueness of Certain Spherical Codes	1988	Eiichi Bannaĭ N. J. A. Sloane	2
+	Modular Forms and Functions	1977	R. A. Rankin	2
+	The Shadow Theory of Modular and Unimodular Lattices	1998	Eric M. Rains N. J. A. Sloane	2
+	Even unimodular Euclidean lattices of dimension 32.II	1987	Boris Venkov	1
+	On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator	1997	Cédric Béguin Alain Valette Andrzej Żuk	1
+	Über ganzzahlige unimodulare euklidische Gitter.	1989	Helmut Koch Boris B. Venkov	1
+ PDF Chat	Cohomologie des groupes discrets	1971	Jean-Pierre Serre	1
+ PDF Chat	Lattices without short characteristic vectors	1998	Mark Gaulter	1
+ PDF Chat	McLaren’s improved snub cube and other new spherical designs in three dimensions	1996	R. H. Hardin N. J. A. Sloane	1
+	Rational Quadratic Forms	1982	J. W. S. Cassels	1
+	Growth series of finite extensions of ? n are rational	1983	Max Benson	1
+	Representations of symplectic groups	1972	Harold N. Ward	1
+	A minimal design of order 11 on the 3-sphere	2000	N. N. Andreev	1
+	HANDBOOK OF MAGMA FUNCTIONS	2011	John Cannon Wieb Bosma Claus Fieker Allan Steel	1
+	Linear Algebra and Geometry	1989	P. K. Suetin Alexandra I. Kostrikin Yu. I. Manin	1
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	1
+	Symmetric random walks on groups	1959	Harry Kesten	1
+	Symplectic Groups, Symplectic Spreads, Codes, and Unimodular Lattices	1997	Rudolf Scharlau Pham Huu Tiep	1
+	Multiplicities of weights of some representations and convex polytopes	1995	D I Panyushev	1
+	Mathematical crystal growth I	1981	David A. Klarner	1
+	History of the Theory of Numbers	1919	L. E. Dickson	1
+	Finite groups and even lattices	1976	J. G. Thompson	1
+	The regular two-graph on 276 vertices	1975	J.-M. Goethals J.J. Seidel	1
+	Designs and self-dual codes with long shadows	2003	Christine Bachoc Philippe Gaborit	1
+	The square sieve and consecutive square-free numbers	1984	D. R. Heath‐Brown	1
+	Translation planes of order 27	1994	Ulrich Dempwolff	1