Explore a selection of works produced by faculty in the Department of Mathematical Sciences at Michigan Technological University.

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Submissions from 2002

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Automatic differentiation and the adjoint state method, Mark Gockenbach, Daniel Reynolds, and William W. Symes

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Perfect codes and balanced generalized weighing matrices, II☆, Dieter Jungnickel and Vladimir Tonchev

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On a class of twin balanced incomplete block designs, Hadi Kharaghani and Vladimir Tonchev

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A new bound on the number of designs with classical affine parameters, Clement Lam and Vladimir Tonchev

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Simulation of non-evaporating diesel sprays and verification with experimental data, Martti Larmi, Pekka Rantanen, Jukka Tiainen, Jukka Kiijärvi, Franz X. Tanner, and Krista Stalsberg-Zarling

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Multilinear direct and reverse Stolarsky inequalities, Iosif Pinelis

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Spherically symmetric functions with a convex second derivative and applications to extremal probabilistic problems, Iosif Pinelis

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

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Error-correcting codes from graphs, Vladimir Tonchev

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

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Wavelet threshold estimation of a regression function with random design, Shuanglin Zhang, Man Yu Wong, and Zhongguo Zheng

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Association mapping, using a mixture model for complex traits, Xiaofeng Zhu, Shuanglin Zhang, Hongyu Zhao, and Richard S. Cooper

Works from 2001

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Caps on Classical Varieties and their Projections, Jürgen Bierbrauer, Antonio Cossidente, and Yves Edel

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Remote sensing of biotic effects: Zebra mussels (Dreissena polymorpha) influence on water clarity in Saginaw Bay, Lake Huron, Judith W. Budd, Thomas David Drummer, Thomas F. Nalepa, and Gary L. Fahnenstiel

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A primer on differentiation, Mark Gockenbach

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

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Bush‐type Hadamard matrices and symmetric designs, Zvonimir Janko, Hadi Kharaghani, and Vladimir Tonchev

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The existence of a Bush-Type Hadamard Matrix of order 324 and two new infinite classes of symmetric designs, Zvonimir Janko, Hadi Kharaghani, and Vladimir Tonchev

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On a conjecture about trees in graphs with large girth, Tao Jiang

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Small odd cycles in 4-chromatic graphs, Tao Jiang

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A hole-size bound for incomplete t-wise balanced designs, Donald L. Kreher and Rolf S. Rees

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Bounds on the number of Hadamard designs of even order, Clement Lam, Sigmund Lam, and Vladimir Tonchev

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On the Yao-Iyer inequality in bioequivalence studies, Iosif Pinelis

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

Works from 2000

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A family of caps in projective 4-space in odd characteristic, Jürgen Bierbrauer and Yves Edel

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Quantum twisted codes, Jürgen Bierbrauer and Yves Edel

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Almost independent and weakly biased arrays: Efficient constructions and cryptologic applications, Jürgen Bierbrauer and Holger Schellwat

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

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

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On symmetric nets and generalized Hadamard matrices from affine designs, Vassili C. Mavron and Vladimir Tonchev

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Assessment of CFD methods for large diesel engines equipped with a common rail injection system, Paul Rodatz, German Weisser, and Franz X. Tanner

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The development and assessment of a course for enhancing the 3-D spatial visualization skills of first year engineering students, Sheryl Sorby and Beverly J. Baartmans

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Unital designs in planes of order 16, Stoicho Stoichev and Vladimir Tonchev

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Non-equilibrium turbulence considerations for combustion processes in the simulation of di diesel engines, Franz X. Tanner, Guang Sheng Zhu, and Rolf D. Reitz

Works from 1999

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Halving PSL(2, q), Jürgen Bierbrauer and Yves Edel

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New codes via the lengthening of BCH codes with UEP codes, Jürgen Bierbrauer, Yves Edel, and Ludo Tolhuizen

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Existence and Uniqueness of Solutions for a Dynamic One-Dimensional Damage Model, Michel Frémond, Kenneth L. Kuttler, and Meir Shillor

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C++ classes for linking optimization with complex simulations, Mark Gockenbach, Matthew J. Petro, and William W. Symes

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Random Sidon Sequences, Anant P. Godbole, Svante Janson, Nicholas W. Locantore, and Rebecca Rapoport

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Decompositions of difference sets☆, Dieter Jungnickel and Vladimir Tonchev

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Perfect Codes and Balanced Generalized Weighing Matrices☆, Dieter Jungnickel and Vladimir Tonchev

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Linear perfect codes and a characterization of the classical designs, Vladimir Tonchev

Works from 1998

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On Mathieu's Inequality, Horst Alzer, J. L. Brenner, and O. G. Ruehr

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Weak k-majorization and polyhedra, Geir Dahl and François Margot

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

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Modelling air temperature gradients across managed small streams in western Washington, J. Dong, J. Chen, K. D. Brosofske, and R. J. Naiman

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Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems, Anant P. Godbole, Laura K. Potter, and Jessica K. Sklar

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New Designs with Block Size 7, Zvonimir Janko and Vladimir Tonchev

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Characterizing the Hermitian and Ree unitals on 28 points, Gary McGuire, Vladimir Tonchev, and Harold Ward

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Maximum disjoint bases and constant-weight codes, Vladimir Tonchev

Works from 1997

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A family of 2-weight codes related to BCH-codes, Jürgen Bierbrauer and Yves Edel

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Extending and lengthening BCH codes, Jürgen Bierbrauer and Yves Edel

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Embedding partial geometries in Steiner designs, Andries Brouwer, Willem Haemers, and Vladimir Tonchev

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Twisted BCH-codes, Yves Edel and Jürgen Bierbrauer

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A Class of Extremal Functions and Trigonometric Polynomials, Jeffrey J. Holt

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Computational results for the known biplanes of order 9, J. D. Key and Vladimir Tonchev

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On steiner 3-wise balanced designs of order 17, E. S. Kramer, D. L. Kreher, and Rudolf Mathon

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Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs, Vladimir Tonchev

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Steiner triple systems of order 15 and their codes, Vladimir Tonchev and Robert Weishaar

Works from 1996

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Second order evolution equations with dynamic boundary conditions, Kevin T. Andrews, K. L. Kuttler, and M. Shillor

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On the binary codes of Steiner triple systems, Alphonse Baartmans, Ivan Landjev, and Vladimir Tonchev

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Concerning difference matrices, Charles J. Colbourn and Donald L. Kreher

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Random covering designs, Anant P. Godbole and Svante Janson

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Spreads in strongly regular graphs, Willem Haemers and Vladimir Tonchev

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On a form of the Erdos-Turán inequality, Jeffrey J. Holt

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Classification of affine resolvable 2-(27, 9, 4) designs, Clement Lam and Vladimir Tonchev

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On the minimal number of even submatrices of 0-1 matrices, Iosif Pinelis

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Bounded automorphisms of surfaces, Jiang Renfang

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

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The uniformly packed binary [27,21,3] and [35,29,3] codes☆, Vladimir Tonchev

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

Works from 1995

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A2-codes from universal hash classes, Jürgen Bierbrauer

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Bounds on orthogonal arrays and resilient functions, Jürgen Bierbrauer

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Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5, C. A. Cusack, S. W. Graham, and D. L. Kreher

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Singly-even self-dual codes and Hadamard matrices, Masaaki Harada and Vladimir Tonchev

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

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

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Linear codes and doubly transitive symmetric designs, Christopher Parker and Vladimir Tonchev

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Smoothed particle hydrodynamics stability analysis, J. W. Swegle, D. L. Hicks, and S. W. Attaway

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The bigraphical t‐wise balanced designs of index two, Lisa M. Weiss and Donald L. Kreher

Submissions from 1994

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

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Cauchy-Difference Conservative Vector Fields for Dimension Two and Three, K. J. Heuvers

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The bigraphical t‐wise balanced designs of index 1, Dean G. Hoffman and Donald L. Kreher

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Linear solvation energy relationship of the solubility of very polar gases: Sulfur dioxide, hydrogen chloride, hydrogen bromide, and ammonia, Dean C. Luehrs and Kalpana A. Godbole

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Designs with the symmetric difference property on 64 points and their groups, Christopher Parker, Edward Spence, and Vladimir Tonchev

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Asymptotics for multivariate t-statistic and hotelling′s T < sup> 2 -statistic under infinite second moments via bootstrapping, Steven J. Sepanski

Submissions from 1993

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On the extendability of steiner t‐designs, Alphonse Baartmans, Ian Blake, and Vladimir Tonchev

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Moments of gaps between k-free numbers, S. W. Graham

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

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An infinite family of (simple) 6‐designs, Donald L. Kreher

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A symmetric 2‐(160, 54, 18) design, Edward Spence, Vladimir Tonchev, and Tran van Trung

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Quasi-symmetric designs, codes, quadrics, and hyperplane sections, Vladimir Tonchev

Submissions from 1992

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Concerning multiplier automorphisms of cyclic Steiner triple systems, Charles Colbourn, Eric Mendelsohn, Cheryl Praeger, and Vladimir Tonchev

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Extremal self-dual codes from symmetric designs, Edward Spence and Vladimir Tonchev

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Some small non-embeddable designs, Vladimir Tonchev

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On Kirkman triple systems of order 33, Vladimir Tonchev and Scott Vanstone

Works from 1991

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On Cauchy differences of all orders, B. R. Ebanks, K. J. Heuvers, and C. T. Ng

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An approximation method for eigenvectors of very large matrices, D. J. Groh, R. A. Marshall, A. B. Kunz, and C. R. Givens

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Finite rise time step strain modeling of nearly monodisperse polymer melts and solutions, R. W. Kolkka, D. S. Malkus, and T. R. Rose

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A gradient flow theory of plasticity for granular materials, I. Vardoulakis and E. C. Aifantis