Codes over double-struck F sign3 + u double-struck F sign3 and Improvements to the Bounds on Ternary Linear Codes

T. Aaron Gulliver; Masaaki Harada

doi:10.1023/A:1008355310919

Codes over double-struck F sign₃ + u double-struck F sign₃ and Improvements to the Bounds on Ternary Linear Codes

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

New ternary linear codes with parameters [208, 8, 127], [150, 10, 85], [160, 10, 91], [170, 10, 97], [180, 10, 103], and [190, 10, 110], are found which improve the known lower bound on the maximum possible minimum Hamming distance. These codes are constructed from codes over double-struck F sign₃ + udouble-struck F sign₃ via a Gray map.

Original language	English
Pages (from-to)	89-96
Number of pages	8
Journal	Designs, Codes, and Cryptography
Volume	22
Issue number	1
DOIs	https://doi.org/10.1023/A:1008355310919
Publication status	Published - 2001 Jan 1
Externally published	Yes

Keywords

Codes over rings
Ternary linear codes

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1023/A:1008355310919

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AB - New ternary linear codes with parameters [208, 8, 127], [150, 10, 85], [160, 10, 91], [170, 10, 97], [180, 10, 103], and [190, 10, 110], are found which improve the known lower bound on the maximum possible minimum Hamming distance. These codes are constructed from codes over double-struck F sign3 + udouble-struck F sign3 via a Gray map.

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