On Optimal Codes Over the Field with Five Elements

Authors:
I. Landjev;A. Rousseva;T. Maruta;R. Hill
Affiliations:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. G. Bonchev str. bl.8, 1113 Sofia, Bulgaria;Sofia University, Faculty of Mathematics and Informatics, 5 J. Bourchier Blvd., 1126 Sofia, Bulgaria;Department of Information Systems, Aichi Prefectural University, Nagakute, Aichi 480-1198, Japan;Mathematics Section, School of Sciences, University of Salford, Salford M5 4WT, England
Venue:
Designs, Codes and Cryptography
Year:
2003

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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.