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Ternary Codes from Modified Jacket Matrices  

Jiang, Xueqin (School of Information Science and Technology of Donghua University)
Lee, Moon-Ho (Division of Electronic and Information Engineering of Chonbuk National University)
Guo, Ying (Central South University)
Yan, Yier (School of Mechanical and Electrical Engineering of Guangzhou University)
Latif, Sarker Md. Abdul (Electronics Engineering from Chonbuk National University)
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Abstract
In this paper, we construct two families $C^*_m$ and ${\~{C}}^*_m$ of ternary ($2^m$, $3^m$, $2^{m-1}$ ) and ($2^m$, $3^{m+1}$, $2^{m-1}$ ) codes, for m = 1, 2, 3, ${\cdots}$, derived from the corresponding families of modified ternary Jacket matrices. These codes are close to the Plotkin bound and have a very easy decoding procedure.
Keywords
Algebraic integers; cyclotomic fields; Jacket codes; Kronecker products of matrices; modified ternary; modified ternary Jacket matrices;
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