On the classification of geometric codes by polynomial functions |
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| Authors: | D G Glynn J W P Hirschfeld |
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| Institution: | (1) Department of Mathematics and Statistics, University of Canterbury, private bag 4800, Christchurch, New Zealand;(2) School of Mathematical and Physical Sciences, University of Sussex, BN1 9QH Brighton, UK |
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| Abstract: | It is shown how to represent algebraically all functions that have a zero sum on all  -dimensional subspaces ofPG(n,q) or ofAG(n,q). In this way one can calculate the dimensions of related codes, or one can represent interesting sets of points by functions. |
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| Keywords: | projective finite geometry oval ovoid code polynomial function |
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