Publication List for Harold N. Ward

- 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. (pdf) - 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). (pdf) - Optimal four-dimensional codes
over GF(8),
*Electronic Journal of Combinatorics***13**(2006), #R43 (with Chris Jones and Angela Matney). (pdf) - 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. (pdf) - 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 (
*q*^{2}*+ 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. (Correction) - 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 M
_{11},*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. - Some results on the group
algebra of a group over a prime field, Seminar on Group
Theory, Harvard University,

1960–61, 113–119.(pdf) - Problem E 1404: A property of
the two-dimensional point lattice,
*Amer. Math. Monthly***67**(1960), 805–807.

**Doctoral students:**John Frank Moseley ^{+}, 1968; Kentucky State University

Donald William Newhart, 1980; National Security Agency

James Andrew Davis, 1987; University of Richmond

Julia Lynn Morrisett Clark, 1991; Hollins University

James Thomas Wilmot, 1994; National Security Agency

Deirdre Longacher Smeltzer, 1994; Eastern Menonite University

Todd Douglas Vance, 1997; National Security Agency

Kevin Lee Chouinard, 1998; Northern Virginia Community College

John Bowen Polhill, 1999; Bloomsburg University of Pennsylvania

Christopher Michael Boner, 1999; Metron, Inc*;*Reston, Virginia

Leslie Dawn Hatfield, 2003; Lynchburg College, Lynchburg, Virginia