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In this paper we have used one 2 variable Boolean function called Rule 6 todefine another beautiful transformation named as Extended Rule-6. Using thisfunction we have explored the algebraic beauties and its application to anefficient Round Robin Tournament (RRT) routine for 2k (k is any natural number)number of teams. At the end, we have thrown some light towards any number ofteams of the form nk where n, k are natural numbers.

Theory of Rule 6 and its Application to Round Robin Tournament