On Optimal Codes Over the Field with Five Elements |
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Authors: | I. Landjev A. Rousseva T. Maruta R. Hill |
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Affiliation: | 1. Bulgarian Academy of Sciences, 8 Acad. G, Institute of Mathematics and Informatics, Bonchev str. bl.8, 1113, Sofia, Bulgaria 2. Faculty of Mathematics and Informatics, Sofia University, 5 J. Bourchier Blvd., 1126, Sofia, Bulgaria 3. Department of Information Systems, Aichi Prefectural University, Nagakute, Aichi, 480-1198, Japan 4. Mathematics Section, School of Sciences, University of Salford, Salford, M5 4WT, England
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Abstract: | In this paper, we prove the nonexistence of Griesmer codes over the field of five elements for k = 4 and d = 33, 83, 163, 164. |
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