T
T. P. McDonough
Researcher at Aberystwyth University
Publications - 34
Citations - 351
T. P. McDonough is an academic researcher from Aberystwyth University. The author has contributed to research in topics: Partial permutation & Affine geometry. The author has an hindex of 10, co-authored 34 publications receiving 332 citations. Previous affiliations of T. P. McDonough include University of Warwick & University of Wales.
Papers
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Information sets and partial permutation decoding for codes from finite geometries
TL;DR: Information sets for the generalized Reed-Muller codes are determined and these are used to apply partial permutation decoding to codes from finite geometries over prime fields.
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Partial permutation decoding for codes from finite planes
TL;DR: The notion of s-PD-sets is defined to correct s errors, and some specific small sets for s = 2 and 3 for desarguesian planes of prime order are constructed.
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On relations between the classical and the Kazhdan¿Lusztig representations of symmetric groups and associated Hecke algebras
T. P. McDonough,C.A. Pallikaros +1 more
TL;DR: In this article, it was shown that the Specht module S λ is isomorphic to the cell module of Kazhdan and Lusztig [Invent. Math. Soc. 53 (1979) 165-184] associated with the cell containing the longest element of a parabolic subgroup W J for appropriate J ⊆ S.
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On the Maximality of Psl(D + 1, q), d ≥ 2
TL;DR: In this article, it is shown that the Mathieu groups M12 and M24 contain PSL(2,11) and PSL (2,23) in their natural permutation representations of degrees 12 and 24, respectively.