About balance property of the p-ary generalized self-shrinking generator sequence

Abstract

The Pseudo Random Sequences (PRSs) have been widely used for encrypting sensitive data in wireless networks, communication systems and other. The balance property of the previously proposed p-ary Generalized Self-Shrinking Generator (pGSSG) is examined. The theoretical value of the balance property of the sequences produced by the pGSSG is established and proven. Test results for it are compared to the theoretical ones. It is shown that the pGSSG sequences have the needed properties to be considered as balanced.