Part of the Physical Sciences and Mathematics Commons

Works by Vladimir Tonchev in Physical Sciences and Mathematics

2022

The Life and Work of Vera Stepen Pless, Steven T. Dougherty, Gretchen Mathews, Jay A. Wood, Janet Beissinger, Richard Brualdi, Nick Crews, Vladimir Tonchev, et. al.
Michigan Tech Publications

Book Review: “Designs from Linear Codes”, second edition, by Cunsheng Ding and Chunming Tang, World Scientific, 2022, Vladimir Tonchev
Michigan Tech Publications

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 Tonchev
Michigan Tech Publications

On the classification of unitals on 28 points of low rank, Vladimir Tonchev, Alfred Wassermann
Michigan Tech Publications

Quasi-symmetric 2-(41, 9, 9) designs and doubly even self-dual codes of length 40, Akihiro Munemasa, Vladimir Tonchev
Michigan Tech Publications

2021

The projective general linear group PGL (2 , 2 m) and linear codes of length 2 m+ 1, Cunsheng Ding, Chunming Tang, Vladimir Tonchev
Michigan Tech Publications

On partial geometries arising from maximal arcs, Mustafa Gezek, Vladimir Tonchev
Michigan Tech Publications

Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry, Dean Crnković, Andrea Švob, Vladimir Tonchev
Michigan Tech Publications

2020

Maximal arcs, codes, and new links between projective planes of order 16, Mustafa Gezek, Rudi Mathon, Vladimir Tonchev
Michigan Tech Publications

2019

Linear codes of 2-designs associated with subcodes of the ternary generalized Reed–Muller codes, Cunsheng Ding, Chunming Tang, Vladimir Tonchev
Michigan Tech Publications

Cyclotomic trace codes, Dean Crnkovic, Andrea Svob, Vladimir Tonchev
Michigan Tech Publications

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Maximal arcs and extended cyclic codes, Stefaan DeWinter, Cunsheng Ding, Vladimir Tonchev
Department of Mathematical Sciences Publications

The classification of Steiner triple systems on 27 points with 3-rank 24, Dieter Jungnickel, Spyros Magliveras, Vladimir Tonchev, Alfred Wassermann
Department of Mathematical Sciences Publications

Counting Steiner triple systems with classical parameters and prescribed rank, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

2018

All binary linear codes that are invariant under PSL2(n), Cunsheng Ding, Hao Liu, Vladimir Tonchev
Department of Mathematical Sciences Publications

Extension sets, affine designs, and Hamada’s conjecture, Dieter Jungnickel, Yue Zhou, Vladimir Tonchev
Department of Mathematical Sciences Publications

The classification of antipodal two-weight linear codes, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

On Bonisoli’s theorem and the block codes of Steiner triple systems, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

Maximal arcs in projective planes of order 16 and related designs, Mustafa Gezek, Vladimir Tonchev, Tim Wagner
Department of Mathematical Sciences Publications

2017

On classifying Steiner triple systems by their 3-rank, Dieter Jungnickel, Spyros Magliveras, Vladimir Tonchev, Alfred Wassermann
Department of Mathematical Sciences Publications

Linearly embeddable designs, Vladimir Tonchev
Department of Mathematical Sciences Publications

Quasi-symmetric 2-(64, 24, 46) designsderivedfrom AG(3, 4), Dean Crnkovic, B. G. Rodrigues, Sanja Rukavina, Vladimir Tonchev
Department of Mathematical Sciences Publications

On resolvable Steiner 2-designs and maximal arcs in projective planes, Vladimir Tonchev
Department of Mathematical Sciences Publications

Self‐dual codes and the nonexistence of a quasi‐symmetric 2‐(37,9,8) design with intersection numbers 1 and 3, Masaaki Harada, Akihiro Munemasa, Vladimir Tonchev
Department of Mathematical Sciences Publications

2016

The weight distribution of the self-dual [ 128 , 64 ] polarity design code, Masaaki Harada, Ethan Novak, Vladimir Tonchev
Department of Mathematical Sciences Publications

2015

Maximal arcs and quasi-symmetric designs, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

On quasi-symmetric 2-(64, 24, 46) designs derived from codes, B. G. Rodrigues, Vladimir Tonchev
Department of Mathematical Sciences Publications

New symmetric (61,16,4) designs obtained from codes, Dean Crnkovic, Sanja Rukavina, Vladimir Tonchev
Department of Mathematical Sciences Publications

2014

The nonexistence of (18,3,18,6) relative difference sets, David C. Clark, Vladimir Tonchev
Department of Mathematical Sciences Publications

The existence of optimal quaternary [28,20,6] and quantum [[28,12,6]] codes, Vladimir Tonchev
Department of Mathematical Sciences Publications

2013

New invariants for incidence structures, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

Algebraic techniques in designing quantum synchronizable codes, Yuichiro Fujiwara, Vladimir Tonchev, Tony Wong
Department of Mathematical Sciences Publications

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High-rate self-synchronizing codes, Yuichiro Fujiwara, Vladimir Tonchev
Department of Mathematical Sciences Publications

Enumeration of (16,4,16,4) relative difference sets, David C. Clark, Vladimir Tonchev
Department of Mathematical Sciences Publications

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A new class of majority-logic decodable codes derived from polarity designs, David C. Clark, Vladimir Tonchev
Department of Mathematical Sciences Publications

A direct product construction for high-rate self-synchronizing codes, Yuichiro Fujiwara, Vladimir Tonchev
Department of Mathematical Sciences Publications

2012

Nonbinary quantum codes derived from finite geometries, David C. Clark, Vladimir Tonchev
Department of Mathematical Sciences Publications

2011

A Hamada type characterization of the classical geometric designs, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

Finite geometry designs, codes, and Hamada's conjecture, Vladimir Tonchev
Department of Mathematical Sciences Publications

Information security, coding theory and related combinatorics, Dean Crnkovic, Vladimir Tonchev
Department of Mathematical Sciences Publications

Affine geometry designs, polarities, and Hamada's conjecture, David C. Clark, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

2010

Classification of generalized Hadamard matrices H(6,3) and quaternary Hermitian self-dual codes of length 18, Masaaki Harada, Clement Lam, Akihiro Munemasa, Vladimir Tonchev
Department of Mathematical Sciences Publications

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Entanglement-assisted quantum low-density parity-check codes, Yuichiro Fujiwara, David C. Clark, Peter Vandendriessche, Maarten De Boeck, Vladimir Tonchev
Department of Mathematical Sciences Publications

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Exponential bounds on the number of designs with affine parameters, David C. Clark, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

The number of designs with geometric parameters grows exponentially, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

Mutually disjoint designs and new 5‐designs derived from groups and codes, Makoto Araya, Masaaki Harada, Vladimir Tonchev, Alfred Wassermann
Department of Mathematical Sciences Publications

2009

The twisted Grassmann graph is the block graph of a design, Akihiro Munemasa, Vladimir Tonchev
Department of Mathematical Sciences Publications

Generalized weighing matrices and self-orthogonal codes, Vladimir Tonchev
Department of Mathematical Sciences Publications

Polarities, quasi-symmetric designs, and Hamada's conjecture, Dieter Jungnickel, Vladimir Tonchev
Michigan Tech Publications

Combinatorial designs and code synchronization, Vladimir Tonchev
Department of Mathematical Sciences Publications

An algorithm for optimal comma free codes with isomorphism rejection, Hao Wang, Vladimir Tonchev
Department of Mathematical Sciences Publications

2008

Quantum codes from caps, Vladimir Tonchev
Department of Mathematical Sciences Publications

On affine designs and GMW difference sets, Vladimir Tonchev
Department of Mathematical Sciences Publications

Difference systems of sets and cyclotomy, Yukiyasu Mutoh, Vladimir Tonchev
Department of Mathematical Sciences Publications

On affine designs and Hadamard designs with line spreads☆, V. C. Mavron, T. P. McDonough, Vladimir Tonchev
Department of Mathematical Sciences Publications

Cyclic quasi-symmetric designs and self-orthogonal codes of length 63☆, Chekad Sarami, Vladimir Tonchev
Department of Mathematical Sciences Publications

Steiner systems for two-stage disjunctive testing, Vladimir Tonchev
Department of Mathematical Sciences Publications

2007

An algorithm for optimal difference systems of sets, Vladimir Tonchev, Hao Wang
Department of Mathematical Sciences Publications

On conflict-avoiding codes of length n=4m for the active users, Masakazu Jimbo, Miwako Mishima, Susan Janiszewski, Amin Teymorian, Vladimir Tonchev
Department of Mathematical Sciences Publications

2006

Hyperplane partitions and difference systems of sets☆, Ryoh Fuji-Hara, Akihiro Munemasa, Vladimir Tonchev
Department of Mathematical Sciences Publications

A Class of 2-(3n7, 3n−1 7, (3n−1 7−1)/2) Designs, Vladimir Tonchev
Department of Mathematical Sciences Publications

Optimal difference systems of sets with multipliers, Vladimir Tonchev, Hao Wang
Michigan Tech Publications

2005

Partitions of difference sets and code synchronization, Vladimir Tonchev
Department of Mathematical Sciences Publications

A characterization of designs related to an extremal doubly-even self-dual code of length 48, Masaaki Harada, Akihiro Munemasa, Vladimir Tonchev
Department of Mathematical Sciences Publications

Affine designs and linear orthogonal arrays☆, Vladimir Tonchev
Department of Mathematical Sciences Publications

Symmetric (4,4)-Nets and Generalized Hadamard Matrices Over Groups of Order 4, Masaaki Harada, Clement Lam, Vladimir Tonchev
Department of Mathematical Sciences Publications

2004

On generalized Hadamard matrices of minimum rank, Vladimir Tonchev
Department of Mathematical Sciences Publications

A new quasi-symmetric 2-(56,16,6) design obtained from codes, Akihiro Munemasa, Vladimir Tonchev
Department of Mathematical Sciences Publications

2003

Unitals and codes, Anton Betten, Dieter Betten, Vladimir Tonchev
Department of Mathematical Sciences Publications

A formula for the number of Steiner quadruple systems on 2n points of 2‐rank 2n−n, Vladimir Tonchev
Department of Mathematical Sciences Publications

A note on MDS codes, n-Arcs and complete designs, Vladimir Tonchev
Department of Mathematical Sciences Publications

Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms, Masaaki Harada, Vladimir Tonchev
Department of Mathematical Sciences Publications

2002

Error-correcting codes from graphs, Vladimir Tonchev
Department of Mathematical Sciences Publications

A new bound on the number of designs with classical affine parameters, Clement Lam, Vladimir Tonchev
Department of Mathematical Sciences Publications

Linear codes and the existence of a reversible Hadamard difference set inZ2×Z2×Z45☆, M. van Eupen, Vladimir Tonchev
Department of Mathematical Sciences Publications

Perfect codes and balanced generalized weighing matrices, II☆, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes, Vladimir Tonchev
Department of Mathematical Sciences Publications

On a class of twin balanced incomplete block designs, Hadi Kharaghani, Vladimir Tonchev
Department of Mathematical Sciences Publications

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 Tonchev
Department of Mathematical Sciences Publications

Bounds on the number of Hadamard designs of even order, Clement Lam, Sigmund Lam, Vladimir Tonchev
Department of Mathematical Sciences Publications

A Mass Formula for Steiner Triple Systems STS(2n−1) of 2-Rank 2n−n☆, Vladimir Tonchev
Department of Mathematical Sciences Publications

The [52, 26, 10] binary self-dual codes with an automorphism of Order 7☆, W. Cary Huffman, Vladimir Tonchev
Department of Mathematical Sciences Publications

Bush‐type Hadamard matrices and symmetric designs, Zvonimir Janko, Hadi Kharaghani, Vladimir Tonchev
Department of Mathematical Sciences Publications

2000

Bounds on the number of affine, symmetric and Hadamard designs and matrices☆, Clement Lam, Sigmund Lam, Vladimir Tonchev
Department of Mathematical Sciences Publications

Unital designs in planes of order 16, Stoicho Stoichev, Vladimir Tonchev
Department of Mathematical Sciences Publications

Maximal arcs and disjoint maximal arcs in projective planes of order 16, Nicholas Hamilton, Stoicho Stoichev, Vladimir Tonchev
Department of Mathematical Sciences Publications

On symmetric nets and generalized Hadamard matrices from affine designs, Vassili C. Mavron, Vladimir Tonchev
Department of Mathematical Sciences Publications

1999

Linear perfect codes and a characterization of the classical designs, Vladimir Tonchev
Department of Mathematical Sciences Publications

Decompositions of difference sets☆, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

Perfect Codes and Balanced Generalized Weighing Matrices☆, Dieter Jungnickel, Vladimir Tonchev
Department of Mathematical Sciences Publications

1998

Quasi‐symmetric 2‐(28, 12, 11) designs with an automorphism of order 7, Yuan Ding, Sheridan Houghten, Clement Lam, Suzan Smith, Larry Thiel, Vladimir Tonchev
Department of Mathematical Sciences Publications

New Designs with Block Size 7, Zvonimir Janko, Vladimir Tonchev
Michigan Tech Publications

Maximum disjoint bases and constant-weight codes, Vladimir Tonchev
Department of Mathematical Sciences Publications

Characterizing the Hermitian and Ree unitals on 28 points, Gary McGuire, Vladimir Tonchev, Harold Ward
Department of Mathematical Sciences Publications

1997

Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs, Vladimir Tonchev
Department of Mathematical Sciences Publications

Steiner triple systems of order 15 and their codes, Vladimir Tonchev, Robert Weishaar
Department of Mathematical Sciences Publications

Computational results for the known biplanes of order 9, J. D. Key, Vladimir Tonchev
Department of Mathematical Sciences Publications

Embedding partial geometries in Steiner designs, Andries Brouwer, Willem Haemers, Vladimir Tonchev
Department of Mathematical Sciences Publications

1996

Classification of affine resolvable 2-(27, 9, 4) designs, Clement Lam, Vladimir Tonchev
Department of Mathematical Sciences Publications

The existence of certain extremal [54,27,10] self-dual codes, Vladimir Tonchev, V. Y. Yorgov
Department of Mathematical Sciences Publications

Spreads in strongly regular graphs, Willem Haemers, Vladimir Tonchev
Department of Mathematical Sciences Publications

On the binary codes of Steiner triple systems, Alphonse Baartmans, Ivan Landjev, Vladimir Tonchev
Department of Mathematical Sciences Publications

The uniformly packed binary [27,21,3] and [35,29,3] codes☆, Vladimir Tonchev
Department of Mathematical Sciences Publications

A class of Steiner 4‐wise balanced designs derived from preparata codes, Vladimir Tonchev
Department of Mathematical Sciences Publications

1995

The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs, W. Cary Huffman, Vladimir Tonchev
Department of Mathematical Sciences Publications

Linear codes and doubly transitive symmetric designs, Christopher Parker, Vladimir Tonchev
Department of Mathematical Sciences Publications

Singly-even self-dual codes and Hadamard matrices, Masaaki Harada, Vladimir Tonchev
Department of Mathematical Sciences Publications

On quasi-symmetric 2-(28,12,11) and 2-(36,16,12) designs, Clement Lam, Larry Thiel, Vladimir Tonchev
Department of Mathematical Sciences Publications

1994

Designs with the symmetric difference property on 64 points and their groups, Christopher Parker, Edward Spence, Vladimir Tonchev
Department of Mathematical Sciences Publications

The preparata codes and a class of 4‐designs, Alphonse Baartmans, Iliya Bluskov, Vladimir Tonchev
Department of Mathematical Sciences Publications

1993

Quasi-symmetric designs, codes, quadrics, and hyperplane sections, Vladimir Tonchev
Department of Mathematical Sciences Publications

A design and a code invariant under the simple group Co3, Willem Haemers, Christopher Parker, Vera Pless, Vladimir Tonchev
Department of Mathematical Sciences Publications

On the extendability of steiner t‐designs, Alphonse Baartmans, Ian Blake, Vladimir Tonchev
Department of Mathematical Sciences Publications

A symmetric 2‐(160, 54, 18) design, Edward Spence, Vladimir Tonchev, Tran van Trung
Department of Mathematical Sciences Publications

1992

Extremal self-dual codes from symmetric designs, Edward Spence, Vladimir Tonchev
Department of Mathematical Sciences Publications

Some small non-embeddable designs, Vladimir Tonchev
Department of Mathematical Sciences Publications

On Kirkman triple systems of order 33, Vladimir Tonchev, Scott Vanstone
Department of Mathematical Sciences Publications

Concerning multiplier automorphisms of cyclic Steiner triple systems, Charles Colbourn, Eric Mendelsohn, Cheryl Praeger, Vladimir Tonchev
Department of Mathematical Sciences Publications