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  • McDonough, Thomas P.; Mavron, V. C.; Tonchev, V. D. (2008-07-06)
    Rahilly [On the line structure of designs, Discrete Math. 92 (1991) 291–303] described a construction that relates any Hadamard design H on 4^m-1 points with a line spread to an affine design having the same parameters as ...
  • Mavron, V. C.; McDonough, T. P.; Shrikhande, M. S. (2012-04)
    In a recent paper, Pawale [22] investigated quasi-symmetric 2-(v, k, lambda) designs with intersection numbers x > 0 and y = x + 2 with lambda > 1 and showed that under these conditions either lambda = x + 1 or lambda = x ...
  • Deriziotis, D.; Pallikaros, C. A.; McDonough, Thomas P. (2010)
    Given an involution z in W, where W is the symmetric group of degree n, we study the relation between the subsystems of a root system for W corresponding to certain decreasing subsequences of z and the two-sided Kazhdan–Lusztig ...
  • Pallikaros, C. A.; McDonough, Thomas P. (2008-02-01)
    We study the relation between certain increasing and decreasing subsequences occurring in the row form of certain elements in the symmetric group, following Schensted [C. Schensted, Longest increasing and decreasing ...
  • McDonough, Thomas P.; Key, Jennifer D.; Mavron, Vassili (2008-03)
    Explicit PD-sets are found for partial permutation decoding of the generalized Reed-Muller codes from the affine geometry designs of points and lines in dimension 3 over the prime field of order p, using the information ...
  • Schrikhande, M. S.; Mavron, Vassili C.; McDonough, Thomas P. (2003-03)
    We show that a quasi-symmetric design with intersection numbers 1 and y > 1 and a good block belongs to one of three types: (a) it has the same parameters as PG 2(4, q), the design of points and planes in projective 4-space; ...
  • Key, Jennifer D.; McDonough, Thomas P.; Mavron, Vassili C. (2010-11-28)
    We show that the first- and second-order Reed–Muller codes, and , can be used for permutation decoding by finding, within the translation group, (m−1)- and (m+1)-PD-sets for for m≥5,6, respectively, and (m−3)-PD-sets for ...
  • Mavron, V. C.; McDonough, Thomas P.; Key, Jennifer D. (2009-01)
    We show that a construction described in [K.L. Clark, J.D. Key, M.J. de Resmini, Dual codes of translation planes, European J. Combinatorics 23 (2002) 529–538] of small-weight words in the dual codes of finite translation ...

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