Talk:Chaocipher
Latin Suares
The relationship between encryption and Latin Squares has been mentioned recently on RC. I thought it might be interesting to look at the Latin Squares associated with this task.
Latin Square for left wheel
0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 18 19 20 21 22 23o 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 14 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 12 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 11 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 10 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 9 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 8 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 7 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 6 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 5 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 4 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 3 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 2 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 13 13 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0
If p is the position of the ciphertext letter then given a current ciphertext alphabet, HXUCZVAMDSLKPEFJRIGTWOBNYQ say, then applying the bijection
- new ciphertext alphabet[n]=current ciphertext alphabet[LS[p][n]]
one obtains ONYQHXUCZVAMDBSLKPEFJRIGTW when p is 21.--Nigel Galloway (talk) 17:59, 20 July 2019 (UTC)
- Why is there the (Latin) lowercase letter o in the 9th row of this Latin square? -- Gerard Schildberger (talk) 19:49, 9 August 2019 (UTC)
Latin Square for right wheel
25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 12 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 11 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 10 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 9 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 8 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 7 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 6 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 5 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 4 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 3 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 2 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 13 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 1 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 0 0 1 13 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25
Now I just need a way to generate random Latin Squares of order 26 to program a better Chaocipher--Nigel Galloway (talk) 10:59, 21 July 2019 (UTC)