  In 1999, public key cryptography using the matrix was devised by a hish
school student of 16 yesrs old girl Sarah Flannery. This cryptosystem seemed
faster than RSA, and it's having the strength to surpass even the encryption to
RSA. However, this encryption scheme was broken bfore har papers were
published. In this paper, We try to construct publickey encryption scheme from
permutation group that is equivalent to matrix as noncommutative group. And we
explore the potential of this cryptsystem through implementation.
