My Publications

  • Degenerations and contractions of algebras and forms, arXiv.org: 2304.08305 (2023).
  • The Life and Work of Vera Stephen Pless, Notices of the AMS, 69(11) 2022, 1942-1955 (contributor).
  • Linear degenerations of algebras and certain representations of the general linear group, Communications in Algebra 50(10) (2022), 4122-4144 (with Christakis Pallikaros).
  • A normal graph algebra, arXiv.org: 2201.00389v2 (2023).
  • Bernstein graph algebras, Arch. Math. (Basel) 116 (2021), no.  5, 501–508.
  • Thirty-six officers and their code, arXiv.org: 1907.00861 (2019).
  • Matrices for the Weil representation, arXiv.org: 1705.09138 (2017).
  • Groups from class 2 algebras and the Weil representation, Advances in Group Theory and Applications 3 (2017), 75-96 (with Christakis Pallikaros).
  • Commutative nilpotent closed algebras and Weil representations, Communications in Algebra 43 (2015), 4839-4859 (with Christakis Pallikaros).
  • Block designs with SDP parameters, Electronic Journal of Combinatorics 19(3) (2012), #P11.
  • Comments on 3-blocked designs, Journal of Combinatorial Designs 20 (2012), no. 7, 328–331.
  • Fibonacci designs, arXiv.org: 1012.1550 (2010).
  • A selection of divisible lexicographic codes, International Journal of Information and Coding Theory 1 (2010), no. 4, 410–428.
  • Design lines, arXiv.org: 1002.2955 (2010).
  • Amalgams of designs and nets, Bulletin London Math. Soc. 41 (2009), no. 5, 841–852 (with Tom McDonough and Vass Mavron).
  • Cocyclic Hadamard matrices from forms over finite Frobenius rings, Linear Algebra and its Applications 430 (2009), no. 7, 1730–1738 (with Gary McGuire).
  • Gold and Kasami-Welch functions, quadratic forms and bent functions, Advances in Mathematics of Communications 1 (2007), no. 2, 243–250 (with Jyrki Lahtonen and Gary McGuire).
  • Arcs, minihypers, and the classification of three-dimensional Griesmer codes, in "Advances in Coding Theory and Crytography" (T. Shaska, W. C. Huffman, D. Joyner, and V. Ustimenko, eds.), World Scientific, Singapore (2007), 33–50.
  • A geometric approach to classifying Griesmer codes, Des. Codes Cryptogr., 44 (2007), nos. 1–3, 169–196 (with Ray Hill).
  • New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices, Des. Codes Cryptogr. 41 (2006), no. 2, 195–198 (with Carl Bracken and Gary McGuire).
  • Optimal four-dimensional codes over GF(8), Electronic Journal of Combinatorics 13 (2006), #R43 (with Chris Jones and Angela Matney).
  • An introduction to algebraic coding theory, in " Coding Theory and Quantum Computing," Contemporary Mathematics 381 (2005), 27–52.
  • "Coding theory and quantum computing", Proceedings of the International Conference held at the University of Virginia, Charlottesville, VA, May 20–24, 2003. Edited by David Evans, Jeffrey J. Holt, Chris Jones, Karen Klintworth, Brian Parshall, Olivier Pfister and Harold N. Ward. Contemporary Mathematics, 381. American Mathematical Society, Providence, RI, 2005.
  • A sequence of unique quaternary Griesmer codes, Des. Codes Cryptogr. 33 (2004), 71–85.
  • Dual codes of projective planes of order 25, Advances in Geometry 3 (2003), 140–152 (with K. L. Clark, L. D. Hatfield, and J. D. Key).
  • Divisible codes - a survey, Serdica Math. J. 27 (2001), 263–278.
  • Divisible codes - a survey, in "Optimal Codes and Related Topics," proceedings of the EuroWorkshop on optimal codes and related topics, Sunny Beach, Bulgaria, 10 - 16 June, 2001, 151–165.
  • On (q2 + q + 2, q + 2)-arcs in the projective plane PG(2,q), Des. Codes Cryptogr. 24 (2001), 205–224 (with Simeon Ball, Ray Hill, and Ivan Landjev).
  • The divisible code bound revisited, J. Combin. Theory Ser. A 94 (2001), 34–50.
  • The nonexistence of a [207,4,165] code over GF(5), Des. Codes Cryptogr. 22 (2001), 139–148.
  • The MacWilliams identity, Arch. Math. (Basel) 74 (2000), 95–96.
  • An introduction to divisible codes, Des. Codes Cryptogr. 17 (1999), 73–79.
  • Quadratic residue codes and divisibility, Chapter 9 in  "Handbook of  Coding Theory" (V. S. Pless and W. C. Huffman, eds.; R. A. Brualdi, asst. ed.), Elsevier, Amsterdam (1998), 827–870. [See correction file "handbook" below]
  • A determination of the weight enumerator of the code of the projective plane of order 5, Nota di Matematica 18, No. 1, (1998), 71–99 (with Gary McGuire).
  • The weight enumerator of the code of the projective plane of order 5, Geometriae  Dedicata 73 (1998), 63–77 (with Gary McGuire).
  • Divisibility of codes meeting the Griesmer bound, J. Combin. Theory Ser. A  83, (1998), 79–93.
  • Characterization of certain minimal rank designs, J. Combin. Theory Ser. A  83 (1998), 42–56 (with Gary McGuire).
  • Characterizing the Ree and Hermitian unitals on 28 points,  Des. Codes Cryptogr. 13 (1998), 57–61 (with Gary McGuire and Vladimir Tonchev).
  • Characters and the equivalence of codes, J. Combin. Theory Ser. A 73 (1996), 348–352 (with Jay Wood).
  • Existence of Abelian group code partitions, J. Combin. Theory Ser. A  67 (1994), 276–281 (with Li Zhu).
  • Divisors of codes of Reed-Muller type, Discrete Math. 131 (1994), 311–323.
  • Decoding binary two-error correcting cyclic codes with Zech logarithms, IEEE Trans. Communications 40 (1992), 1789–1792 (with Patrick Stevens)
  • A bound for divisible codes, IEEE Trans. Inform. Theory  38 (1992), 191–194.
  • Quadratic residue codes in their prime, J. Algebra 150 (1992), 87–100.
  • Quadratic residue codes of length 27, IEEE Trans. Inform. Theory  36 (1990), 950–953.
  • Visible codes, Arch. Math. (Basel)  54 (1990), 307–312.
  • Weight polarization and divisibility, Discrete Math. 83 (1990), 315–326.
  • Coding theory and representation theory, Proc. Sympos. Pure Math. 47 (1987), 339–348.
  • Review of "Introduction to Coding Theory" (J. H. van Lint), Amer. Math. Monthly  91 (1984), 522–525.
  • Divisors of codeword weights, IEEE Trans. Inform. Theory IT–29 (1983), 337–342.
  • Multilinear forms and divisors of codeword weights, Quart. J. Math. Oxford Ser. (2)  34 (1983), 115–128.
  • Binary views of ternary codes, in "The Geometric Vein," Springer–Verlag, New  York, 1982, 593–598.
  • Divisible codes, Arch. Math. (Basel)  36 (1981), 485–494.
  • Center sets and ternary codes, J. Algebra 65 (1980), 206–224.
  • The weight enumerator of a family of codes over GF(4), IEEE Trans. Inform. Theory IT–26 (1980), 366–367 (with Bill Newman).
  • Ternary codes of minimum weight  6 and the classification of the self-dual codes  of length 20, IEEE Trans. Inform. Theory  IT–26 (1980), 305–316 (with Vera Pless and  Neil J. A. Sloane).
  • Combinatorial polarization, Discrete Math. 26 (1979), 185–197.
  • Self-dual codes over GF(4), J. Combin. Theory Ser. A 25 (1978), 288–318 (with F. Jessie MacWilliams, Andrew M. Odlyzko, and Neil J. A. Sloane).
  • A restriction on the weight enumerator of a self-dual code, J. Combin. Theory Ser. A 21 (1976), 253–255.
  • A form for M11, J. Algebra 37 (1975), 340–361.
  • Quadratic residue codes and symplectic groups, J. Algebra 29 (1974), 150–171.
  • Representations of symplectic groups, J. Algebra  20 (1972), 182–195.
  • Automorphisms of quaternion-free 2-groups, Math. Z. 112 (1969), 52–58.
  • An extension of a theorem on monomial groups, Amer. Math. Monthly 76 (1969), 534–535.
  • On the triviality of primary parts of the Schur multiplier, J. Algebra 10 (1968),  377–382.
  • The analysis of representations induced from a normal subgroup, Michigan  Math. J. 15 (1968), 417–428.
  • On Ree's series of simple groups, Trans. Amer. Math. Soc. 121 (1966), 62–89.
  • On Ree's series of simple groups, Bull. Amer. Math. Soc. 69 (1963), 113–114.
  • A decomposition of an Abelian group associated with the action of a group of endomorphisms, Seminar on Group Theory, Harvard University, 1960–61, 113 (with J. E. McLaughlin).
  • Some results on the group algebra of a group over a prime field, Seminar on Group Theory, Harvard University, 1960–61, 13–19. [See file "Some results" below]
  • Problem E 1404: A property of the two-dimensional point lattice, Amer. Math. Monthly 67 (1960), 805–807.  

  The third file here is a retirement survey of my work given at the Chicago AMS meeting, October 5 - 6, 2007.