On the Minimum Weight of Codes over F5 Constructed from Certain Conference Matrices |
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| Authors: | T Aaron Gulliver Masaaki Harada |
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| Institution: | (1) Department of Electrical and Computer Engineering, University of Victoria, P.O. Box 3055, STN CSC, Victoria, BC, Canada, V8W 3P6;(2) Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan |
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| Abstract: | In this paper, codes over F5 with parameters 36, 18, 12], 48, 24, 15], 60, 30, 18], 64, 32, 18] and 76, 38, 21] which improve the previously known bounds on the minimum weight for linear codes over F5 are constructed from conference matrices. Through shortening and truncating, the above codes give numerous new codes over F5 which improve the previously known bounds on minimum weights. |
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| Keywords: | code minimum weight conference matrix |
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