Paratopy classes of Latin rectangles

This dataset contains the paratopy classes of (s x t) Latin rectangles for all s < t ≤ 8 and s ≤ 4, t = 9. Paratopy classes (also known as main classes) represent the most general form of symmetry of Latin rectangles and are formed by permuting rows, columns, and symbols, and by permuting the three roles of row, column, and symbol. Only the roles of column and symbol are permuted when s < t.

 

The file for the (s x t) Latin rectangles is named "latin_parsxt.txt". Each row of the file contains one rectangle with the rows concatenated. The integers from 0 to t-1 are used for the symbols.