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Three-element codes with one \(d\)-primitive word - MaRDI portal

Three-element codes with one \(d\)-primitive word (Q707501)

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scientific article; zbMATH DE number 2133167
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English
Three-element codes with one \(d\)-primitive word
scientific article; zbMATH DE number 2133167

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    Three-element codes with one \(d\)-primitive word (English)
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    9 February 2005
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    A word \(u\) over an alphabet \(X\) is \(d\)-primitive if \(u\) is not of the form \(xyx\) with \(x\in X^+\) and \(y\in X^*\). Let \(A\) be a three-element set \(\{u,v,w\}\) in \(X^*\) such that one of \(u\), \(v\), \(w\) is \(d\)-primitive. The authors give a necessary and sufficient condition for \(A\) to be a code.
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    primitive word
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    \(d\)-primitive word
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    overlap
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    code
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