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

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Submissions from 1997

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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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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

Submissions from 1996

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

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

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

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

Works from 1990

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A characterization of Cauchy kernels, K. J. Heuvers

Works from 1988

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Sums of weight vectors and sums of semilinear functions, Konrad J. Heuvers and William C. Waterhouse

Works from 1987

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Composite n-forms and Cauchy kernels, Pal Fischer and Konrad J. Heuvers

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Matrix solutions of the functional equation of the gamma function, Konrad J. Heuvers and Daniel Moak

Works from 1986

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On extreme points of families of analytic functions with values in a convex set, Julian Gevirtz

Works from 1985

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A family of symmetric biadditive nonbilinear functions, Konrad D. Heuvers

Works from 1981

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Functional equations which characterize n-forms and homogeneous functions of degree n, Konrad J. Heuvers