Packing Costas Arrays

Details Packing Costas Arrays Packing Costas Arrays

2011-02-07

arxiv.org/abs/1102.1332v1

Mathematics

Combinatorics

19 pages

Scientific paper

A Costas latin square of order n is a set of n disjoint Costas arrays of the same order. Costas latin squares are studied here from a construction as well as a classification point of view. A complete classification is carried out up to order 27. In this range, we verify the conjecture that there is no Costas latin square for any odd order n >= 3. Various other related combinatorial structures are also considered, including near Costas latin squares (which are certain packings of near Costas arrays) and Vatican Costas squares.

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