Complete latin squares of order \(2^ k\) (Q1901050)
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scientific article; zbMATH DE number 810273
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete latin squares of order \(2^ k\) |
scientific article; zbMATH DE number 810273 |
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Complete latin squares of order \(2^ k\) (English)
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31 March 1996
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It is proved that the \(n\times n\) matrix with \((i, j)\) entry \((i(i- 1)+ j(j- 1))/2\) calculated modulo \(n\) is a complete latin square of order \(n\) if and only if \(n\) is a power of 2. We remind the reader that a latin square is complete if each pair of distinct elements appears as a pair of adjacent entries exactly once in some row and also in some column.
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latin square
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