Vladimir N. Potapov

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Generalizing the Bierbrauer-Friedman bound	2024	Denis S. Krotov Ferruh Özbudak Vladimir N. Potapov
+ PDF Chat	Every latin hypercube of order 5 has transversals	2024	Alexey L. Perezhogin Vladimir N. Potapov S. Yu. Vladimirov
+ PDF Chat	Asymptotic bounds on the numbers of vertices of polytopes of polystochastic matrices	2024	Vladimir N. Potapov Anna A. Taranenko
+ PDF Chat	Existence of balanced functions that are not derivative of bent functions	2023	Vladimir N. Potapov
+ PDF Chat	Upper bounds on the numbers of binary plateaued and bent functions	2023	Vladimir N. Potapov
+	Singleton mesh patterns in multidimensional permutations	2023	S. V. Avgustinovich Sergey Kitaev Jeffrey Liese Vladimir N. Potapov Anna Taranenko
+	An upper bound on the number of frequency hypercubes	2023	Denis S. Krotov Vladimir N. Potapov
+	About coincidence points theorems on 2-step Carnot groups with 1-dimensional centre equipped with Box-quasimetrics	2023	А. В. Грешнов Vladimir N. Potapov
+	Upper bounds on the numbers of binary plateaued and bent functions	2023	Vladimir N. Potapov
+	Existence of balanced functions that are not derivative of bent functions	2023	Vladimir N. Potapov
+	Every latin hypercube of order 5 has transversals	2023	A. L. Perezhogin Vladimir N. Potapov S. Yu. Vladimirov
+ PDF Chat	DP-Colorings of Uniform Hypergraphs and Splittings of Boolean Hypercube into Faces	2022	Vladimir N. Potapov
+ PDF Chat	Embedding in MDS codes and Latin cubes	2022	Vladimir N. Potapov
+	On extremal properties of perfect 2-colorings	2022	Vladimir N. Potapov
+	Singleton mesh patterns in multidimensional permutations	2022	S. V. Avgustinovich Sergey Kitaev Jeffrey Liese Vladimir N. Potapov Anna Taranenko
+	An upper bound on the number of frequency hypercubes	2022	Denis S. Krotov Vladimir N. Potapov
+ PDF Chat	An Upper Bound on the Number of Bent Functions	2021	Vladimir N. Potapov
+ PDF Chat	On Weight Spectrum of Linear Codes	2021	Vladimir N. Potapov
+	Asymptotic bounds on numbers of bent functions and partitions of the Boolean hypercube into linear and affine subspaces	2021	Vladimir N. Potapov Anna A. Taranenko Yuriy Tarannikov
+	On weight spectrum of linear codes	2021	Vladimir N. Potapov
+	An Upper Bound on the Number of Bent Functions	2021	Vladimir N. Potapov
+	Embedding in MDS codes and Latin cubes	2021	Vladimir N. Potapov
+	On weight spectrum of linear codes	2021	Vladimir N. Potapov
+	An Upper Bound on the Number of Bent Functions	2021	Vladimir N. Potapov
+ PDF Chat	On Multifold Packings of Radius-1 Balls in Hamming Graphs	2020	Denis S. Krotov Vladimir N. Potapov
+ PDF Chat	Combinatorial Designs, Difference Sets, and Bent Functions as Perfect Colorings of Graphs and Multigraphs	2020	Vladimir N. Potapov S. V. Avgustinovich
+ PDF Chat	On q-ary bent and plateaued functions	2020	Vladimir N. Potapov
+ PDF Chat	Constructions of pairs of orthogonal latin cubes	2020	Vladimir N. Potapov
+	Constructions of Pairs of Orthogonal Latin Cubes	2019	Vladimir N. Potapov
+	On q-ary Bent and Plateaued Functions	2019	Vladimir N. Potapov
+	A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity	2019	Vladimir N. Potapov
+ PDF Chat	On the Cardinality Spectrum and the Number of Latin Bitrades of Order 3	2019	Denis S. Krotov Vladimir N. Potapov
+ PDF Chat	A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity	2019	Vladimir N. Potapov
+	Splitting of hypercube into k-faces and DP-colorings of hypergraphs	2019	Vladimir N. Potapov
+	On shortening u-cycles and u-words for permutations	2019	Sergey Kitaev Vladimir N. Potapov Vincent Vajnovszki
+	On the number of autotopies of an $n$-ary qusigroup of order $4$	2019	Denis S. Krotov E. V. Gorkunov Vladimir N. Potapov
+	Constructions of Pairs of Orthogonal Latin Cubes	2019	Vladimir N. Potapov
+	A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity	2019	Vladimir N. Potapov
+	DP-colorings of uniform hypergraphs and splittings of Boolean hypercube into faces	2019	Vladimir N. Potapov
+	On the cardinality spectrum and the number of latin bitrades of order 3	2018	Denis S. Krotov Vladimir N. Potapov
+ PDF Chat	On the number of SQSs, latin hypercubes and MDS codes	2018	Vladimir N. Potapov
+	On the cardinality spectrum and the number of latin bitrades of order 3	2018	Denis S. Krotov Vladimir N. Potapov
+	On shortening u-cycles and u-words for permutations	2017	Sergey Kitaev Vladimir N. Potapov Vincent Vajnovszki
+	On shortening u-cycles and u-words for permutations	2017	Sergey Kitaev Vladimir N. Potapov Vincent Vajnovszki
+ PDF Chat	On minimal distance between q-ary bent functions	2016	Vladimir N. Potapov
+	On minimal distance between q-ary bent functions	2016	Vladimir N. Potapov
+	On the number of SQS	2016	Vladimir N. Potapov
+	On minimal distance between q-ary bent functions	2016	Vladimir N. Potapov
+	Linear codes for an effective quantization of data	2015	Vladimir N. Potapov
+ PDF Chat	Constructions of transitive latin hypercubes	2015	Denis S. Krotov Vladimir N. Potapov
+	Gray coding cubic planar maps	2015	S. V. Avgustinovich Sergey Kitaev Vladimir N. Potapov Vincent Vajnovszki
+ PDF Chat	To the theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-ary Steiner and other-type trades	2015	Denis S. Krotov I. Yu. Mogilnykh Vladimir N. Potapov
+	On the number of transversals in latin squares	2015	Vladimir N. Potapov
+ PDF Chat	10.17686/sced_rusnauka_2008-1040	2015	Denis S. Krotov Vladimir N. Potapov P. N. Sokolova
+	Gray coding planar maps	2015	S. V. Avgustinovich Sergey Kitaev Vladimir N. Potapov Vincent Vajnovszki
+	Partial covering arrays for data hiding and quantization	2015	Vladimir N. Potapov
+ PDF Chat	Propelinear 1-Perfect Codes From Quadratic Functions	2014	Denis S. Krotov Vladimir N. Potapov
+	Infinite-dimensional quasigroups of finite orders	2013	Vladimir N. Potapov
+	Construction of transitive MDS codes	2013	Denis S. Krotov Vladimir N. Potapov
+	Construction of hamiltonian cycles with a given spectrum of edge directions in an n-dimensional Boolean cube	2012	Vladimir N. Potapov
+	On extensions of partial n-quasigroups of order 4	2012	Vladimir N. Potapov
+ PDF Chat	On perfect 2-colorings of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-ary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-cube	2012	Vladimir N. Potapov
+	On perfect 2-colorings of the q-ary n-cube	2011	Vladimir N. Potapov
+	Multidimensional Latin Bitrade	2011	Vladimir N. Potapov
+	Latin bitrade	2011	Vladimir N. Potapov
+	Clique matchings in the k-ary n-dimensional cube	2011	Vladimir N. Potapov
+	On the connection between correlation-immune functions and perfect 2-colorings of the Boolean n-cube	2011	Vladimir N. Potapov
+	On completion of latin hypercuboids of order 4	2011	Vladimir N. Potapov
+ PDF Chat	On the number of n-ary quasigroups of finite order	2011	Vladimir N. Potapov Denis S. Krotov
+	On the multidimensional permanent and q-ary designs	2011	Vladimir N. Potapov
+ PDF Chat	On the number of n-ary quasigroups of finite order	2011	Vladimir N. Potapov Denis S. Krotov
+	Multidimensional Latin Bitrade	2011	Vladimir N. Potapov
+	On perfect 2-colorings of the q-ary n-cube	2011	Vladimir N. Potapov
+	On connection between reducibility of an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-ary quasigroup and that of its retracts	2010	Denis S. Krotov Vladimir N. Potapov
+	On switching equivalence of n-ary quasigroups of order 4 and perfect binary codes	2010	Denis S. Krotov Vladimir N. Potapov
+ PDF Chat	<i>n</i>-Ary Quasigroups of Order 4	2009	Denis S. Krotov Vladimir N. Potapov
+	On reducibility of n-ary quasigroups, II	2008	Denis S. Krotov Vladimir N. Potapov
+	Asymptotics for the number of n-quasigroups of order 4	2006	Vladimir N. Potapov Denis S. Krotov
+	Compression of square integrable functions: Fourier vs. wavelets	2002	R.E. Krichevskii Vladimir N. Potapov
+	ε-Entropy of compact sets inC and tabulation of continuous functions	1997	Vladimir N. Potapov

Common Coauthors

Coauthor	Papers Together
Denis S. Krotov	20
Sergey Kitaev	7
S. V. Avgustinovich	5
Vincent Vajnovszki	4
S. Yu. Vladimirov	2
Anna Taranenko	2
Jeffrey Liese	2
Anna A. Taranenko	2
Vincent Vajnovszki	1
Yuriy Tarannikov	1
Alexey L. Perezhogin	1
А. В. Грешнов	1
P. N. Sokolova	1
I. Yu. Mogilnykh	1
R.E. Krichevskii	1
E. V. Gorkunov	1
Ferruh Özbudak	1
A. L. Perezhogin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	<i>n</i>-Ary Quasigroups of Order 4	2009	Denis S. Krotov Vladimir N. Potapov	12
+	Asymptotics for the number of n-quasigroups of order 4	2006	Vladimir N. Potapov Denis S. Krotov	10
+ PDF Chat	A Census of Small Latin Hypercubes	2008	Brendan D. McKay Ian M. Wanless	7
+	Distance-Regular Graphs	2011	Andries E. Brouwer Willem H. Haemers	7
+ PDF Chat	10.17686/sced_rusnauka_2008-1040	2015	Denis S. Krotov Vladimir N. Potapov P. N. Sokolova	7
+	Distance-Regular Graphs	1989	Andries E. Brouwer Arjeh M. Cohen Arnold Neumaier	6
+ PDF Chat	An uncertainty principle for cyclic groups of prime order	2005	Terence Tao	6
+	Strong forms of orthogonality for sets of hypercubes	2012	John T. Ethier Gary L. Mullen	5
+ PDF Chat	On the number of n-ary quasigroups of finite order	2011	Vladimir N. Potapov Denis S. Krotov	5
+	The existence of designs	2014	Peter Keevash	4
+ PDF Chat	The Perfect Binary One-Error-Correcting Codes of Length 15: Part II—Properties	2010	Patric R. J. Östergård Olli Pottonen Kevin T. Phelps	4
+ PDF Chat	On the number of n-ary quasigroups of finite order	2011	Vladimir N. Potapov Denis S. Krotov	4
+ PDF Chat	On irreducible <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-ary quasigroups with reducible retracts	2007	Denis S. Krotov	4
+ PDF Chat	To the theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-ary Steiner and other-type trades	2015	Denis S. Krotov I. Yu. Mogilnykh Vladimir N. Potapov	3
+	Patterns in Permutations and Words	2011	Sergey Kitaev	3
+ PDF Chat	An upper bound on the number of high-dimensional permutations	2014	Nathan Linial Zur Luria	3
+ PDF Chat	Asymptotic enumeration of correlation-immune boolean functions	2010	E. Rodney Canfield Zhicheng Gao Catherine Greenhill Brendan D. McKay Robert W. Robinson	3
+ PDF Chat	On reducibility of n-ary quasigroups	2007	Denis S. Krotov	3
+	On completely regular propelinear codes	1989	Josep Rifà Josep M. Basart L. Huguet	3
+ PDF Chat	On decomposability of 4-ary distance 2 MDS codes, double-codes, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-quasigroups of order 4	2007	Denis S. Krotov	3
+	On trades: an update	1999	G. B. Khosrovshahi Hamid Reza Maimani R. Torabi	3
+	On the multidimensional permanent and q-ary designs	2011	Vladimir N. Potapov	3
+ PDF Chat	On the gaps of the spectrum of volumes of trades	2017	Denis S. Krotov	3
+ PDF Chat	On perfect 2-colorings of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-ary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-cube	2012	Vladimir N. Potapov	3
+	Improved asymptotic estimates for the numbers of correlation-immune and k-resilient vectorial Boolean functions	2019	K. N. Pankov	2
+	Partial covering arrays for data hiding and quantization	2015	Vladimir N. Potapov	2
+	Minimum supports of functions on the Hamming graphs with spectral constraints	2019	Alexandr Valyuzhenich Konstantin Vorob’ev	2
+ PDF Chat	A note on random greedy coloring of uniform hypergraphs	2014	Danila Cherkashin Jakub Kozik	2
+	Quasidirect products of quasigroups	1975	Robert Lee Wilson	2
+ PDF Chat	On the weight distribution of random binary linear codes	2019	Nati Linial Jonathan Mosheiff	2
+	Permanents of multidimensional matrices: Properties and applications	2016	Anna A. Taranenko	2
+	The graph of minimal distances of bent functions and its properties	2016	N. A. Kolomeec	2
+ PDF Chat	Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture	1960	R. C. Bose S. S. Shrikhande E. T. Parker	2
+	None	2001	Denis S. Krotov	2
+	An involution on bicubic maps and β(0,1)-trees	2012	Anders Claesson Sergey Kitaev Anna de Mier	2
+ PDF Chat	A Class of Loops Which are Isomorphic to all Loop Isotopes	1982	Edgar G. Goodaire D. Ashley Robinson	2
+	Universal partial words over non-binary alphabets	2017	Bennet Goeckner Corbin Groothuis Cyrus Hettle Brian Kell P. B. Kirkpatrick Rachel Kirsch Ryan Solava	2
+	G-Loops and Permutation Groups	1999	Kenneth Kunen	2
+	A local limit theorem for the distribution of a part of the spectrum of a random binary function	2000	Олег Викторович Денисов	2
+	Multidimensional permanents in enumeration problems	2010	S. V. Avgustinovich	2
+	On extensions of partial n-quasigroups of order 4	2012	Vladimir N. Potapov	2
+	Universal cycles for combinatorial structures	1992	Fan Chung Persi Diaconis Ron Graham	2
+	The Theory of Partitions	1984	George E. Andrews	2
+	Latin cubes of order ⩽5	1980	Gary L. Mullen Robert E. Weber	2
+	On the structure and numbers of higher order correlation-immune functions	2002	Yuriy Tarannikov	2
+	On connection between reducibility of an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math>-ary quasigroup and that of its retracts	2010	Denis S. Krotov Vladimir N. Potapov	2
+	Isotopy-isomorphy loops of prime order	1974	Robert Lee Wilson	2
+	On the hamiltonicity of the cartesian product	2005	Vassilios V. Dimakopoulos Leonidas Palios Athanasios Poulakidas	2
+ PDF Chat	On Quadruple Systems	1960	Haim Hanani	2
+	A Survey of Combinatorial Gray Codes	1997	Carla D. Savage	2