New classes of perfect maps. I (Q1906142)
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scientific article; zbMATH DE number 842853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New classes of perfect maps. I |
scientific article; zbMATH DE number 842853 |
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New classes of perfect maps. I (English)
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26 February 1996
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A \(c\)-ary \((r,s, u,v)\)-perfect map (also known as de Bruijn array or torus) is a two-dimensional periodic array with periods \(r\) and \(s\) over an alphabet of size \(c\) with the property that every possible \(u\times v\)-array occurs exactly once in a period of the array [for \(c=2\) see the author, IEEE Trans. Inf. Theory 40, No. 3, 743-753 (1994; Zbl 0822.05013)]. Necessary and in the case where \(c\) is a prime power sufficient conditions on the parameters for the existence of perfect maps are given. [For Part II, see the review below].
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de Bruijn sequences
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de Bruijn tori
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de Bruijn array
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existence of perfect maps
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