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pro vyhledávání: '"Lorch, John"'
Autor:
Lorch, John
For prime $p$ we define magic squares of order $kp^3$, called type-$p$ Franklin squares, whose properties specialize to those of classical Franklin squares in the case $p=2$. We construct type-$p$ Franklin squares in prime-power orders.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/1712.09602
Autor:
Lorch, John
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
Externí odkaz:
http://arxiv.org/abs/1712.09600
Publikováno v:
In Discrete Mathematics March 2020 343(3)
Autor:
Lorch, John
For prime powers q we use "strongly orthogonal" linear Sudoku solutions of order q^2 to construct ordered orthogonal arrays of type OOA (4,s,2,q), and for each q we present a range of values of s for which these constructions are valid.
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Comment:
Externí odkaz:
http://arxiv.org/abs/1309.1680
Autor:
Lorch, John
For any odd prime power q we provide a quick construction of a complete family of q(q-1) mutually orthogonal sudoku squares of order q^2.
Externí odkaz:
http://arxiv.org/abs/1303.0411
A symmetry group for Sudoku is complete if its action partitions the set of Sudoku boards into all possible orbits, and minimal if no group of smaller size would do the same. Previously, for a 4 x 4 Sudoku variation known as Shidoku, the authors used
Externí odkaz:
http://arxiv.org/abs/1302.5673
Autor:
Lorch, John D.
Publikováno v:
The College Mathematics Journal, 2000 Mar 01. 31(2), 93-97.
Externí odkaz:
https://www.jstor.org/stable/2687577
Autor:
Lorch, John D., Mantini, Lisa A.
An integral transform for G=U(1,q) is studied. The transform maps the positive spin ladder representations of G on a Bargmann-Segal-Fock space F_n^1,q into a space of polynomial-valued functions on the bounded realization B^q of G/K. An inversion is
Externí odkaz:
http://arxiv.org/abs/math/9506217
Autor:
Lorch, John D.
Publikováno v:
Proceedings of the American Mathematical Society, 1998 Dec 01. 126(12), 3755-3762.
Externí odkaz:
https://www.jstor.org/stable/118989