Herbert Taylor

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An n x m sonar sequence is a subset of the n x m grid with exactly one point in each column, such that the (r~) vectors determined by them are all distinct. We show that for fixed n the maximal m for which a sonar sequence exists satisfies n-Cn 11/20 < m < n + 4n 2/3 for all n and m > n + c log n log log n for infinitely many n. Another problem concerns the(More)
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