Secret Sharing LDPC Codes for the BPSK-constrained Gaussian Wiretap Channel

Abstract

The problem of secret sharing over the Gaussian wiretap channel is considered. A source and a destination intend to share secret information over a Gaussian channel in the presence of a wiretapper who observes the transmission through another Gaussian channel. Two constraints are imposed on the source-to-destination channel; namely, the source can transmit only binary phase shift keyed (BPSK) symbols, and symbol-by-symbol hard-decision quantization is applied to the received symbols of the destination. An error-free public channel is also available for the source and destination to exchange messages in order to help the secret sharing process. The wiretapper can perfectly observe all messages in the public channel. It is shown that a secret sharing scheme that employs a random ensemble of regular low density parity check (LDPC) codes can achieve the key capacity of the BPSK-constrained Gaussian wiretap channel asymptotically with increasing block length. To accommodate practical constraints of finite block length and limited decoding complexity, fixed irregular LDPC codes are also designed to replace the regular LDPC code ensemble in the proposed secret sharing scheme.

submitted to IEEE Trans. on Information Forensics and Security, special issues on using the physical layer for securing the next generation of communication systems

References in corpus (3)

• Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels
• Efficient reconciliation protocol for discrete-variable quantum key distribution
• Secure Nested Codes for Type II Wiretap Channels

Cited by in corpus (7)

• Coding with Scrambling, Concatenation, and HARQ for the AWGN Wire-Tap Channel: A Security Gap Analysis
• On Secrecy Metrics for Physical Layer Security over Quasi-Static Fading Channels
• Performance assessment and design of finite length LDPC codes for the Gaussian wiretap channel
• Secret Key Agreement with Large Antenna Arrays under the Pilot Contamination Attack
• LDPC Code Design for the BPSK-constrained Gaussian Wiretap Channel
• Practical LDPC coded modulation schemes for the fading broadcast channel with confidential messages
• LDPC coded transmissions over the Gaussian broadcast channel with confidential messages