# Latin telephone dating trial code

The letter A would then be picked up as: In other words, in the first slot we receive signals from both frequency 1 and frequency 2; while the third slot has signals from frequencies 1, 2 and 3.

Because of the noise, we can no longer tell if the first two slots were 1,1 or 1,2 or 2,1 or 2,2.

If we systematically and consistently reorder the three items in each triple, another orthogonal array (and, thus, another Latin square) is obtained.

For example, we can replace each triple (r,c,s) by (c,r,s) which corresponds to transposing the square (reflecting about its main diagonal), or we could replace each triple (r,c,s) by (c,s,r), which is a more complicated operation.

The letter C, for instance, is encoded by first sending at frequency 3, then 4, 1 and 2.

Sudoku imposes the additional restriction that nine particular 3×3 adjacent subsquares must also contain the digits 1–9 (in the standard version).

The more recent Ken Ken puzzles are also examples of Latin squares.

Edwards, designed this window for Caius College, Cambridge.

For example, the Latin square above is not reduced because its first column is A, C, B rather than A, B, C.