Enhancement of Cryptographic Security using Stopping Sets

Abstract

In this paper, we have used channel codes in cryptographic secrecy. Main idea of this paper is to develop the notion of combined security due to cryptography and channel coding. Thus, it is providing a more complete security solution. To achieve this goal, we cast coding into a cryptographic enhancement role, and seek to prevent an attacker from obtaining a noise free cryptogram using channel coding. In this paper, we have used degrees of freedom to characterize security which analyzes combined cryptographic and physical-layer security in a practical coding. In this scheme was shown to inflict a passive eavesdropper using a message- passing decoder with stopping sets with very high probability when a legitimate receiver and an eavesdropper view transmitted data through statistically independent packet erasure channels (PEC). The scheme relies on a nonsystematic low-density parity-check (LDPC) code design, with puncturing and interleaving steps in the encoder.