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arXiv · 1712.09600

Linear Type-p Most-Perfect Squares

John Lorch
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Abstract

We describe a generalization of most-perfect magic squares, called type-p most-perfect squares, and in prime-power orders we give a linear construction of these squares reminiscent of de la Loubere's classical magic square construction method. Type-p most-perfect squares can be used to construct other interesting squares (e.g., generalized Franklin squares) and our linear construction may have implications for counting type-p most-perfect squares.

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John Lorch. 2017-12-27. Linear Type-p Most-Perfect Squares. https://arxiv.org/abs/1712.09600

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