A New Starter Sets Generation Method by Fixing Any Element Under Exchange Restriction

Abstract

Permutation array are of recent interest because of their application to data transmission over power lines. A new permutation technique based on distinct starter sets by employing circular and reversing operations. The crucial task is to generate the distinct starter sets by eliminating the equivalence starter sets. Meanwhile a new strategy for starter sets generation without generating its equivalence starter sets were developed and more efficient in terms of computation time compared to old method. However all these algorithms have limitations in terms of fixing element to construct the first set (starter set) to begin with. It would be interesting to derive new strategy by fixing an element in any position. A new method is developed for starter sets generation namely STARSET2 based on exchange where any element can be selected randomly to be fixed. The result showed that no redundancy of starter sets is occurring and no equivalence starter sets are obtained.