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Codes over mathbb{F}_3 + umathbb{F}_3 and Improvements to the Bounds on Ternary Linear Codes
Authors:T. Aaron Gulliver  Masaaki Harada
Affiliation:(1) Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand;(2) Department of Mathematical Studies, Yamagata University, Yamagata, 990-8560, Japan
Abstract:New ternary linear codeswith parameters [208, 8, 127], [150, 10, 85],[160, 10, 91], [170, 10, 97], [180,10, 103], and [190, 10, 110], are found whichimprove the known lower bound on the maximum possible minimumHamming distance. These codes are constructed from codes over
$$mathbb{F}_3 + umathbb{F}_3$$
via a Gray map.
Keywords:ternary linear codes  codes over rings
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