Browsing Mathemateg a Ffiseg / Mathematics & Physics by Author "Key, Jennifer D."

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Browsing Mathemateg a Ffiseg / Mathematics & Physics by Author "Key, Jennifer D."

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  • Key, Jennifer D.; McDonough, Thomas P.; Mavron, Vassili C. (2006-04)
    We determine information sets for the generalized Reed–Muller codes and use these to apply partial permutation decoding to codes from finite geometries over prime fields. We also obtain new bases of minimum-weight vectors ...
  • 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 ...
  • 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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