Please see text books related to cryptography, where encryption/decryption algorithms that make use of bit permutations are discussed. It is easy to locate papers on the Internet that discuss the GRP instruction. In fact, a basic search on the Internet even revealed a paper about encryption using GRP instruction. Please read these papers as a starter. Wish you good luck.

Thank u sir for reply. I have made progress in that regard.Got excellent result . Actually designed a hybrid lightweight system with the help of bit permutation instructions. If interested i can share results and theory with you sir..

Glad to hear this. If you have some new results, you should try and publish them. Best wishes to you.