Codes over \Bbb F_{3} + u\Bbb F_{3} and Improvementsto the Bounds on Ternary Linear Codes

Authors:
T. Aaron Gulliver;Masaaki Harada
Affiliations:
Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand;Department of Mathematical Studies, Yamagata University, Yamagata 990-8560, Japan
Venue:
Designs, Codes and Cryptography
Year:
2001

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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\Bbb F_{3} + u\Bbb F_{3} via a Gray map.