The Nonexistence of Ternary [50,5,32] Codes |
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| Authors: | Marijn Van Eupen Noboru Hamada Yoko Watamori |
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| Institution: | (1) University of Technology, Den Dolech 2, 5600 MB Eindhoven, The Netherlands;(2) Department of Applied Mathematics, Osaka Women's University, Daisen-cho, Sakai, Osaka 590, Japan |
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| Abstract: | It is unknown (cf. Hill and Newton 8] or Hamada 3]) whether or not there exists a ternary 50,5,32] code meeting the Griesmer bound. The purpose of this paper is to prove the nonexistence of ternary 50,5,32] codes. Since there exists a ternary 51,5,32] code, this implies that n3(5,32) = 51, where n3(k,d) denotes the smallest value of n for which there exists a ternary n,k,d] code. |
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