Affine blocking sets, three-dimensional codes and the Griesmer bound |
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| Authors: | Simeon Ball Elisa Montanucci |
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| Institution: | a Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya, Jordi Girona 1-3, Mòdul C3, Campus Nord, 08034 Barcelona, Spain
b Dipartimento di Matematica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy |
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| Abstract: | We construct families of three-dimensional linear codes that attain the Griesmer bound and give a non-explicit construction of linear codes that are one away from the Griesmer bound. All these codes contain the all-1 codeword and are constructed from small multiple blocking sets in AG(2,q). |
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| Keywords: | Linear codes Griesmer bound Affine blocking sets Arcs |
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