2015–2018

  • T. P. McDonough, C. A. Pallikaros,
    On ordered k-paths and rims for certain families of Kazhdan--Lusztig cells of Sn,
    Journal of Algebra and its Applications (to be published in 2021),    postprint

  • T. P. McDonough, C. A. Pallikaros,
    On embedding certain Kazhdan--Lusztig cells of Sn into cells of Sn+1,
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59 (no.3) (2018), 523–547.    postprint

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Improved partial permutation decoding for Reed-Muller codes,
    Discrete Mathematics, 340 (2017), 722–728.

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Codes from Hall planes of odd order,
    Advances in Mathematics of Communications, 11 (2017), 179–185.

  • Thomas P. McDonough, Christos A. Pallikaros,
    On double cosets with the trivial intersection property and Kazhdan-Lusztig cells in Sn,
    International Journal of Group Theory 4 (no.2) (2015), 25–48.    pdf

    2010–2014

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Codes from Hall planes of even order,
    Journal of Geometry, 105 (2014), 33–41. postprint

  • D.Ghinelli, J.D.Key, T.P.McDonough,
    Hulls of codes from incidence matrices of connected regular graphs,
    Designs Codes and Cryptography, 70 (2014), 35–54. postprint

  • T.P.McDonough, R.Shaw, S.Topalova,
    Classification of book spreads in PG(5,2),
    Note di Matematica, 33, (2013) no. 2, 43–64.
    postprint

  • V.C.Mavron, T.P.McDonough, M.S.Shrikhande,
    On quasi-symmetric designs with intersection difference three,
    Designs Codes and Cryptography, 63, (2012), 73–86.
    postprint

  • T.P.McDonough, V.C.Mavron,
    The dimension of the code of a strongly resolvable design,
    in Error-Correcting Codes, Finite Geometries and Cryptography,
    Contemporary Mathematics, vol. 523, Amer. Math. Soc., Providence, RI, 2010, 203–206.

  • D.Deriziotis, T.P.McDonough, C.A.Pallikaros,
    On root subsystems and involutions in Sn,
    Glasgow Mathematical Journal, 52 (2010), 357–369.
    Associated computation results and postprint

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Reed-Muller codes and permutation decoding,
    Discrete Mathematics, 310, (2010) 3114–3119. postprint

    2005–2009

  • T.P.McDonough, V.C.Mavron, H.N.Ward,
    Amalgams of Designs and Nets,
    Bulletin of the London Mathematical Society, 41 (2009), 841–852. (pdf),

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    An upper bound for the minimum weight of the dual codes of desarguesian planes,
    European Journal of Combinatorics, 30 (2009), 220–229. postprint

  • T.P.McDonough, C.A.Pallikaros,
    On subsequences and certain elements which determine various cells in Sn,
    Journal of Algebra, 319 (2008), 1249–1263.
    Associated GAP programs and functions: word-programs.gap, word-functions.gap, and basic-functions.gap. postprint

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Partial permutation decoding for codes from affine geometry designs,
    Journal of Geometry, 88 (2008), 101–109. preprint

  • V.C.Mavron, T.P.McDonough, V.D.Tonchev,
    On affine designs and Hadamard designs with line spreads,
    Discrete Mathematics, 308 (2008), 2742–2750. preprint

  • V.C.Mavron, T.P.McDonough, G.L.Mullen,
    The Geometry of Sets of Orthogonal Frequency Hypercubes,
    Journal of Combinatorial Designs, 15 (2007), 449–459. postprint

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Information sets and partial permutation decoding for codes from finite geometries,
    Finite Fields and their Applications, Vol. 12, (2006) 232–247. MR2206400_(2006k:94182)

  • T.P.McDonough, C.A.Pallikaros,
    On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras,
    Journal of Pure and Applied Algebra, Vol. 203, (2005), 133–144. MR2176656_(2006h:20013) postprint

  • J.D.Key, T.P.McDonough, V.C.Mavron,
    Partial permutation decoding for codes from finite planes,
    European Journal of Combinatorics, Vol. 26, (2005), 665–682. MR2127688_(2005k:05056)

    2000–2004

  • T.P.McDonough, C.A.Pallikaros,
    Some investigations concerning Kazhdan-Lusztig cells in finite Coxeter groups of type An,
    Bull. Greek Math. Soc., Vol. 48, (2003), 51–59. MR2230428 (2007m:20009)

  • V.C.Mavron, T.P.McDonough, M.S.Shrikhande,
    Quasi-symmetric designs with good blocks and intersection number one,
    Designs Codes and Cryptography, Vol. 28, (2003), 147–162. MR1962802 (2003k:05019)

  • D.Jungnickel, V.C.Mavron, T.P.McDonough,
    The geometry of frequency squares,
    Journal of Combinatorial Theory, Series A, Vol. 96, (2001), 376–387. MR1864130 (2003a:05033)

  • V.C.Mavron, T.P.McDonough, C.A.Pallikaros,
    A difference matrix construction and a class of balanced generalized weighing matrices,
    Archiv der Mathematik, Vol. 76, (2001), 259–264. MR1825005 (2001m:05066)

  • T.P.McDonough, C.A.Pallikaros,
    On the irreducible representations of the specializations in characteristics 2 and 3 of the generic Hecke algebra of type F4,
    Journal of Algebra, Vol. 226, (2000), 857–864. MR1752763 (2001b:20007) postprint

  • T.P.McDonough, V.C.Mavron, C.A.Pallikaros,
    Generalised Hadamard matrices and translations,
    Journal of Statistical Planning and Inference, Vol. 86, (2000), 527–533. MR1768289 (2001i:05044)

    1995–1999

  • T.P.McDonough, C.A.Pallikaros,
    On the irreducible representations of the specializations of the generic Hecke algebra of type F4,
    Journal of Algebra, Vol. 218, (1999), 654–671. MR1705762 (2001a:20010) postprint

  • T.P.McDonough,
    Double-(2n+1) configurations in PG(2n+1, 2),
    European Journal of Combinatorics, Vol. 19, (1998), 593–596. MR1637740 (2000e:51017)

  • T.P.McDonough and V.C.Mavron,
    Quasi-Symmetric Designs with Good Blocks,
    Journal of Combinatorial Designs, Vol. 3, (1995), 433–441. MR1351902 (96d:05017)

    1990–1994

  • J.A.Cooper, T.P.McDonough and V.C.Mavron,
    Critical sets in nets and Latin squares,
    Journal of Statistical Planning and Inference, Vol.41, (1994), 241–256. MR1292160 (95h:05032)

  • K.T.Arasu, T.P.McDonough and S.K.Sehgal,
    Sums of roots of unity,
    in the Proceedings of the Biennial Ohio State Denison Conference, May 14-16 1992, World Scientific Publications (Singapore), (1993), 6–20. MR1348886 (96f:05034)

  • D.Theo and T.P.McDonough,
    Projective Characters of the Rotation Subgroup of the Weyl Group of Type F4,
    Communications in Algebra, Vol.21, No. 1, (1993), 1–11. MR1194546 (93i:20011)

  • T.P.McDonough and Shoaib Ud Din,
    Generalised Hadamard Matrices and Associated Graphs,
    The Punjab University Journal of Mathematics, Vol. 24, (1991) 95–103. MR1161412 (93d:05031)

    1985–1989

  • T.P.McDonough and V.C.Mavron,
    Symmetric designs and geometroids,
    Combinatorica, Vol. 9, (1986), 51–57. MR1010299 (90g:05041)

  • T.P.McDonough,
    A non-square invertible matrix,
    Mathematical Gazette, (1985) 216–218.

    1980–1984

  • T.P.McDonough,
    A 2-design admitting Co3,
    Discrete Mathematics, Vol. 38, (1982), 113–115. MR0676527 (84d:05034)

  • T.P.McDonough,
    An infinite version of Marggraff's Theorem,
    The Quarterly Journal of Mathematics, Vol. 32, (1980), 173–179. MR0615192 (82g:20005)

  • T.P.McDonough,
    Torsion-free finite extensions of cyclic groups,
    American Mathematical Monthly, Vol 87, (1980) 226–227.

  • T.P.McDonough,
    Two group isomorphisms and a little projective geometry,
    Mathematical Gazette, (1980) 245–254. MR0610923 (82j:20001)

    1975–1979

  • T.P.McDonough,
    A Permutation Representation of a Free Group,
    The Quarterly Journal of Mathematics, Vol. 28, (1977), 353–356. MR0453869 (56 #12122)

    1970–1974

  • T.P.McDonough,
    On Jordan Groups — Addendum,
    Journal of the London Mathematical Society, Series 2, Vol. 8, (1974) 451–452. MR0354830 (50 #7307)

  • W.M.Kantor and T.P.McDonough,
    On the maximality of PSL(d+1,q), d≥2,
    Journal of the London Mathematical Society, Series 2, Vol. 8, (1974) 426. MR0376896 (51 #13071)

  • T. P. McDonough and V. C. Mavron, Editors,
    Combinatorics. The Proceedings of the British Combinatorial Conference held in the University College of Wales, Aberystwyth, 2--6 July 1973.
    London Mathematical Society Lecture Note Series, No. 13. Cambridge University Press, London-New York, 1974. MR0345829 (49 #10559)

  • Roger Lyndon, Thomas McDonough and Morris Newman,
    On Products of Powers in Groups,
    Proceedings of the American Mathematical Society, Vol. 40, (1973) 419–420. MR0320153 (47 #8693)

  • T.P.McDonough,
    On Jordan Groups,
    Journal of the London Mathematical Society, Series 2, Vol. 6, (1972) 73–80. MR0354830 (50 #7307)

  • T.P.McDonough,
    Root Closure in Free Groups,
    Journal of the London Mathematical Society, Series 2, Vol. 2, (1970) 191–192. MR0486146 (58 #5930)