Vladimir D. Tonchev

According to our database, Vladimir D. Tonchev authored at least 116 papers between 1980 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Hadamard Matrices of Orders 60 and 64 with Automorphisms of Orders 29 and 31.

Makoto Araya, Masaaki Harada, Vladimir D. Tonchev

Electron. J. Comb., 2024

2022

On Infinite Families of Narrow-Sense Antiprimitive BCH Codes Admitting 3-Transitive Automorphism Groups and Their Consequences.

Qi Liu, Cunsheng Ding, Sihem Mesnager, Chunming Tang, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2022

On Pless symmetry codes, ternary QR codes, and related Hadamard matrices and designs.

Vladimir D. Tonchev

Des. Codes Cryptogr., 2022

Book Review: "Designs from Linear Codes", second edition, by Cunsheng Ding and Chunming Tang, World Scientific, 2022.

Vladimir D. Tonchev

Des. Codes Cryptogr., 2022

On the classification of unitals on 28 points of low rank.

Vladimir D. Tonchev, Alfred Wassermann

Appl. Algebra Eng. Commun. Comput., 2022

Quasi-symmetric 2-(41, 9, 9) designs and doubly even self-dual codes of length 40.

Akihiro Munemasa, Vladimir D. Tonchev

Appl. Algebra Eng. Commun. Comput., 2022

2021

The projective general linear group ${\mathrm {PGL}}(2, 2^m)$ and linear codes of length 2^m+1.

Cunsheng Ding, Chunming Tang, Vladimir D. Tonchev

Des. Codes Cryptogr., 2021

2020

Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes.

Cunsheng Ding, Chunming Tang, Vladimir D. Tonchev

Des. Codes Cryptogr., 2020

The Projective General Linear Group PGL₂(GF(2s^m)) and Linear Codes of Length 2^m+1.

Cunsheng Ding, Chunming Tang, Vladimir D. Tonchev

CoRR, 2020

Maximal Arcs, Codes, and New Links Between Projective Planes of Order 16.

Mustafa Gezek, Rudi Mathon, Vladimir D. Tonchev

Electron. J. Comb., 2020

2019

Bent Vectorial Functions, Codes and Designs.

Cunsheng Ding, Akihiro Munemasa, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2019

Counting Steiner triple systems with classical parameters and prescribed rank.

Dieter Jungnickel, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 2019

Maximal arcs and extended cyclic codes.

Stefaan De Winter, Cunsheng Ding, Vladimir D. Tonchev

Des. Codes Cryptogr., 2019

The classification of Steiner triple systems on 27 points with 3-rank 24.

Dieter Jungnickel, Spyros S. Magliveras, Vladimir D. Tonchev, Alfred Wassermann

Des. Codes Cryptogr., 2019

Cyclotomic Trace Codes.

Dean Crnkovic, Andrea Svob, Vladimir D. Tonchev

Algorithms, 2019

2018

All Binary Linear Codes That Are Invariant Under PSL₂(n).

Cunsheng Ding, Hao Liu, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2018

The classification of antipodal two-weight linear codes.

Dieter Jungnickel, Vladimir D. Tonchev

Finite Fields Their Appl., 2018

Extension sets, affine designs, and Hamada's conjecture.

Dieter Jungnickel, Yue Zhou, Vladimir D. Tonchev

Des. Codes Cryptogr., 2018

On Bonisoli's theorem and the block codes of Steiner triple systems.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 2018

2017

Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4).

Dean Crnkovic, Bernardo Gabriel Rodrigues, Sanja Rukavina, Vladimir D. Tonchev

Discret. Math., 2017

Linearly embeddable designs.

Vladimir D. Tonchev

Des. Codes Cryptogr., 2017

On resolvable Steiner 2-designs and maximal arcs in projective planes.

Vladimir D. Tonchev

Des. Codes Cryptogr., 2017

On Classifying Steiner Triple Systems by Their 3-Rank.

Dieter Jungnickel, Spyros S. Magliveras, Vladimir D. Tonchev, Alfred Wassermann

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2017

2016

The weight distribution of the self-dual [128, 64] polarity design code.

Masaaki Harada, Ethan Novak, Vladimir D. Tonchev

Adv. Math. Commun., 2016

2015

Galois geometries, codes, and new invariants for incidence structures.

Vladimir D. Tonchev

Proceedings of the Advances on Superelliptic Curves and their Applications, 2015

Maximal arcs and quasi-symmetric designs.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 2015

2014

The Nonexistence of (18, 3, 18, 6) Relative Difference Sets.

David Clark, Vladimir D. Tonchev

Proceedings of the Sequences and Their Applications - SETA 2014, 2014

On Quasi-symmetric 2-(64, 24, 46) Designs Derived from Codes.

Bernardo Gabriel Rodrigues, Vladimir D. Tonchev

Proceedings of the Coding Theory and Applications, 4th International Castle Meeting, 2014

2013

A Characterization of Entanglement-Assisted Quantum Low-Density Parity-Check Codes.

Yuichiro Fujiwara, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2013

High-Rate Self-Synchronizing Codes.

Yuichiro Fujiwara, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2013

New invariants for incidence structures.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 2013

Algebraic techniques in designing quantum synchronizable codes

Yuichiro Fujiwara, Vladimir D. Tonchev, Tony W. H. Wong

CoRR, 2013

A doubling construction for self-orthogonal codes.

Vladimir D. Tonchev

CoRR, 2013

Enumeration of (16, 4, 16, 4) Relative Difference Sets.

David Clark, Vladimir D. Tonchev

Electron. J. Comb., 2013

A new class of majority-logic decodable codes derived from polarity designs.

David Clark, Vladimir D. Tonchev

Adv. Math. Commun., 2013

2012

Nonbinary quantum codes derived from finite geometries.

David Clark, Vladimir D. Tonchev

Finite Fields Their Appl., 2012

A Hamada type characterization of the classical geometric designs.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 2012

A direct product construction for high-rate self-synchronizing codes.

Yuichiro Fujiwara, Vladimir D. Tonchev

Proceedings of the International Symposium on Information Theory and its Applications, 2012

2011

Finite geometry designs, codes, and Hamada's conjecture.

Vladimir D. Tonchev

Proceedings of the Information Security, Coding Theory and Related Combinatorics, 2011

Affine geometry designs, polarities, and Hamada's conjecture.

David Clark, Dieter Jungnickel, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 2011

2010

The number of designs with geometric parameters grows exponentially.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 2010

Entanglement-assisted quantum low-density parity-check codes

Yuichiro Fujiwara, David Clark, Peter Vandendriessche, Maarten De Boeck, Vladimir D. Tonchev

CoRR, 2010

Classification of Generalized Hadamard Matrices <i>H(6,3)</i> and Quaternary Hermitian Self-Dual Codes of Length 18.

Masaaki Harada, Clement W. H. Lam, Akihiro Munemasa, Vladimir D. Tonchev

Electron. J. Comb., 2010

2009

Combinatorial Designs and Code Synchronization.

Vladimir D. Tonchev

Proceedings of the Algebraic Aspects of Digital Communications, 2009

Generalized weighing matrices and self-orthogonal codes.

Vladimir D. Tonchev

Discret. Math., 2009

Polarities, quasi-symmetric designs, and Hamada's conjecture.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 2009

An algorithm for optimal comma free codes with isomorphism rejection.

Hao Wang, Vladimir D. Tonchev

Proceedings of the 2009 ACM Symposium on Applied Computing (SAC), 2009

2008

Steiner systems for two-stage disjunctive testing.

Vladimir D. Tonchev

J. Comb. Optim., 2008

Quantum codes from caps.

Vladimir D. Tonchev

Discret. Math., 2008

Difference systems of sets and cyclotomy.

Yukiyasu Mutoh, Vladimir D. Tonchev

Discret. Math., 2008

On affine designs and Hadamard designs with line spreads.

Vassili C. Mavron, T. P. McDonough, Vladimir D. Tonchev

Discret. Math., 2008

2007

On Conflict-Avoiding Codes of Length n=4m for Three Active Users.

Masakazu Jimbo, Miwako Mishima, Susan Janiszewski, Amin Y. Teymorian, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2007

An algorithm for optimal difference systems of sets.

Vladimir D. Tonchev, Hao Wang

J. Comb. Optim., 2007

2006

Hyperplane partitions and difference systems of sets.

Ryoh Fuji-Hara, Akihiro Munemasa, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 2006

Code Synchronization, Cyclotomy, and Finite Geometry.

Vladimir D. Tonchev

Proceedings of the 2006 IEEE Information Theory Workshop, 2006

Optimal Difference Systems of Sets with Multipliers.

Vladimir D. Tonchev, Hao Wang

Proceedings of the Computer Science, 2006

2005

Partitions of difference sets and code synchronization.

Vladimir D. Tonchev

Finite Fields Their Appl., 2005

Affine designs and linear orthogonal arrays.

Vladimir D. Tonchev

Discret. Math., 2005

Symmetric (4,4)-Nets and Generalized Hadamard Matrices Over Groups of Order 4.

Masaaki Harada, Clement W. H. Lam, Vladimir D. Tonchev

Des. Codes Cryptogr., 2005

Optimal conflict-avoiding codes for three active users.

Vladimir I. Levenshtein, Vladimir D. Tonchev

Proceedings of the 2005 IEEE International Symposium on Information Theory, 2005

2004

On generalized Hadamard matrices of minimum rank.

Vladimir D. Tonchev

Finite Fields Their Appl., 2004

A new quasi-symmetric 2-(56, 16, 6) design obtained from codes.

Akihiro Munemasa, Vladimir D. Tonchev

Discret. Math., 2004

2003

Self-orthogonal Codes from Symmetric Designs with Fixed-point-free Auto-morphisms.

Masaaki Harada, Vladimir D. Tonchev

Discret. Math., 2003

Unitals and codes.

Anton Betten, Dieter Betten, Vladimir D. Tonchev

Discret. Math., 2003

A Note on MDS Codes, <i>n</i>-Arcs and Complete Designs.

Vladimir D. Tonchev

Des. Codes Cryptogr., 2003

2002

A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes.

Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 2002

Error-correcting codes from graphs.

Vladimir D. Tonchev

Discret. Math., 2002

2001

A Mass Formula for Steiner Triple Systems STS(2ⁿ-1) of 2-Rank 2ⁿ-n.

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 2001

Perfect Codes and Balanced Generalized Weighing Matrices, II.

Dieter Jungnickel, Vladimir D. Tonchev

Electron. Notes Discret. Math., 2001

The Existence of a Bush-Type Hadamard Matrix of Order 324 and Two New Infinite Classes of Symmetric Designs.

Zvonimir Janko, Hadi Kharaghani, Vladimir D. Tonchev

Des. Codes Cryptogr., 2001

2000

Bounds on the Number of Affine, Symmetric, and Hadamard Designs and Matrices.

Clement W. H. Lam, Sigmund Lam, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 2000

Unital designs in planes of order 16.

Stoicho D. Stoichev, Vladimir D. Tonchev

Discret. Appl. Math., 2000

1999

Linear Perfect Codes and a Characterization of the Classical Designs.

Vladimir D. Tonchev

Des. Codes Cryptogr., 1999

1998

Maximum Disjoint Bases and Constant-Weight Codes.

Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 1998

New Designs with Block Size 7.

Zvonimir Janko, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1998

Characterizing the Hermitian and Ree Unitals on 28 Points.

Gary McGuire, Vladimir D. Tonchev, Harold N. Ward

Des. Codes Cryptogr., 1998

Computing Linear Codes and Unitals.

David B. Jaffe, Vladimir D. Tonchev

Des. Codes Cryptogr., 1998

1997

Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs.

Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 1997

Linear Codes and the Existence of a Reversible Hadamard Difference Set in Z₂xZ₂xZ⁴₅.

Marijn van Eupen, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1997

1996

The existence of certain extremal [54, 27, 10] self-dual codes.

Vladimir D. Tonchev, Vassil Y. Yorgov

IEEE Trans. Inf. Theory, 1996

The uniformly packed binary [27, 21, 3] and [35, 29, 3] codes.

Vladimir D. Tonchev

Discret. Math., 1996

Special Issue Containing Papers Presented at the Second Upper Michigan Combinatorics Workshop on Designs, Codes and Geometries - Preface.

Vladimir D. Tonchev

Des. Codes Cryptogr., 1996

Spreads in Strongly Regular Graphs.

Willem H. Haemers, Vladimir D. Tonchev

Des. Codes Cryptogr., 1996

On the Binary Codes of Steiner Triple Systems.

Alphonse Baartmans, Ivan N. Landjev, Vladimir D. Tonchev

Des. Codes Cryptogr., 1996

1995

On Quasi-Symmetric 2-(28, 12, 11) and 2-(36, 16, 12) Designs.

Clement W. H. Lam, Larry H. Thiel, Vladimir D. Tonchev

Des. Codes Cryptogr., 1995

The Existence of Extremal Self-Dual [50, 25, 10] Codes and Quasi-Symmetric 2-(49, 9, 6) Designs.

W. Cary Huffman, Vladimir D. Tonchev

Des. Codes Cryptogr., 1995

Singly-Even Self-Dual Codes and Hadamard Matrices.

Masaaki Harada, Vladimir D. Tonchev

Proceedings of the Applied Algebra, 1995

1994

Designs with the Symmetric Difference Property on 64 Points and Their Groups.

Christopher Parker, Edward Spence, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1994

1993

On the existence of a certain (64, 32, 12) extremal code.

Vera Pless, Vladimir D. Tonchev, Jeffrey S. Leon

IEEE Trans. Inf. Theory, 1993

A Class of Non-embeddable Designs.

Jack H. van Lint, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1993

A Design and a Code Invariant under the Simple Group Co₃.

Willem H. Haemers, Christopher Parker, Vera Pless, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1993

1992

On Symmetric and Quasi-Symmetric Designs with the Symmetric Difference Property and Their Codes.

Dieter Jungnickel, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1992

On Kirkman triple systems of order 33.

Vladimir D. Tonchev, Scott A. Vanstone

Discret. Math., 1992

Some small non-embeddable designs.

Vladimir D. Tonchev

Discret. Math., 1992

Extremal self-dual codes from symmetric designs.

Edward Spence, Vladimir D. Tonchev

Discret. Math., 1992

Concerning Multiplier Automorphisms of Cyclic Steiner Triple Systems.

Charles J. Colbourn, Eric Mendelsohn, Cheryl E. Praeger, Vladimir D. Tonchev

Des. Codes Cryptogr., 1992

1991

Cyclic 2-(91, 6, 1) designs with multiplier automorphisms.

Zvonimir Janko, Vladimir D. Tonchev

Discret. Math., 1991

Exponential Number of Quasi-Symmetric SDP Designs and Codes Meeting.

Dieter Jungnickel, Vladimir D. Tonchev

Des. Codes Cryptogr., 1991

Self-dual codes and Hadamard matrices.

Vladimir D. Tonchev

Discret. Appl. Math., 1991

1990

Extremal doubly-even codes of length 64 derived from symmetric designs.

Stoyan N. Kapralov, Vladimir D. Tonchev

Discret. Math., 1990

Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20.

Frans C. Bussemaker, Vladimir D. Tonchev

Discret. Math., 1990

1989

Self-orthogonal designs and extremal doubly even codes.

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1989

Automorphisms of 2-(22, 8, 4) designs.

Ivan N. Landgev, Vladimir D. Tonchev

Discret. Math., 1989

New extremal doubly-even codes of length 56 derived from Hadamard matrices of order 28.

Frans C. Bussemaker, Vladimir D. Tonchev

Discret. Math., 1989

1988

On the covering radius of binary [14, 6] codes containing the all-one vector.

Stefan M. Dodunekov, Krassimir N. Manev, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 1988

1987

Self-dual codes over GF(7).

Vera Pless, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 1987

Transitive Steiner triple systems of order 25.

Vladimir D. Tonchev

Discret. Math., 1987

1986

Quasi-symmetric 2-(31, 7, 7) designs and a revision of Hamada's conjecture.

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1986

A characterization of designs related to dodecads in the witt system <i>S</i>(5, 8, 24).

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1986

Quasi-symmetric Designs and Self-dual Codes.

Vladimir D. Tonchev

Eur. J. Comb., 1986

1985

Hadamard Matrices of Order 28 with Automorphisms of Order 7.

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1985

1984

Nonembeddable Quasi-residual Designs with Large K.

Jack H. van Lint, Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1984

The isomorphism of the Cohen, Haemers-van Lint and De Clerck-Dye-Thas partial geometries.

Vladimir D. Tonchev

Discret. Math., 1984

1983

Hadamard Matrices of Order 28 with Automorphisms of Order 13.

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1983

1980

On the number of equivalence classes of Boolean functions under a transformation group (Corresp.).

Jordan D. Denev, Vladimir D. Tonchev

IEEE Trans. Inf. Theory, 1980

On the Mutual Embeddability of (2k, k, k - 1) and (2k - 1, k, k) Quasi-Residual Designs.

Vladimir D. Tonchev

J. Comb. Theory, Ser. A, 1980