Permutation group games

Details Permutation group games Permutation group games

1989-03-22

1990-09-18

Layno, Benjamin

Amusement devices: games

Board games, pieces, or boards therefor

Markable or erasable game board or piece

273272, 380 59, 283 73, A63F 300

Patent

active

049572989

ABSTRACT:
A game is described involving operations on a permutation group (X,*) where X is a set of symbols, illustratively the alphabet, and * is a two argument operation on the symbols of said set, said group having closure, associativity, an identity element and an inverse for each element of the set. A series of plaintext symbols of the set X is encoded by replacing each plaintext symbol with a symbol pair comprising two of the three symbols x, y, z in the relation x*y=z and where x, y, and z are each elements of the set X and one of x, y and z is the plaintext symbol to be encoded. The encoded symbol pairs are then decoded to recover the series of plaintext symbols.

REFERENCES:
patent: 1318366 (1919-10-01), Farquhar
patent: 4509758 (1985-04-01), Cole

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