A note on the \(\mathbb{Z}_4\)-linear code \(C_4(m,D)\) (Q2732554)
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scientific article; zbMATH DE number 1623845
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the \(\mathbb{Z}_4\)-linear code \(C_4(m,D)\) |
scientific article; zbMATH DE number 1623845 |
Statements
3 September 2002
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automorphism group
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Lee weight distribution
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A note on the \(\mathbb{Z}_4\)-linear code \(C_4(m,D)\) (English)
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The automorphism group of the \(\mathbb{Z}_4\)-code \(C_4(m,D)\) introduced by \textit{A. Shanbhag}, \textit{P. V. Kumar}, and \textit{T. Helleseth} [IEEE Trans. Inf. Theory 42, 1582-1587 (1996; Zbl 0876.94036)] is found, and a formula which expresses the Lee weight distribution of \(C_4(m,6)\) for odd \(m\) by that of \(C_4(m,2)\) is obtained by using this automorphism group. With this formula and a computer search, the Lee weight distribution of \(C_4(7,6)\) is obtained.
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