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On the Orthogonality of Geometric Codes
Authors:David G. Glynn
Affiliation:(1) 3 St. Winifreds Place, Bryndwr, Christchurch, 8005, New Zealand
Abstract:We solve some problems concerning the orthogonality of geometric codes associated with sets of i- and j-dimensional subspaces of PG(n, q). Various applications are found, and we discuss all the interesting cases in small dimensional spaces.
Keywords:geometric code  dual code  Reed-Muller code  polynomial function
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