A family of LDPC codes for Binary Symmetric Channel with optimized rate

Abstract

In this paper, we present a family of irregular Low-Density Parity-Check (LDPC) code ensemble, which is designed for Binary Symmetric Channel (BSC) with maximum achievable rate. Our proposed method is based on solving the optimization problem of maximum achievable rate problem based on the related code-design conditions. In the proposed method, approximation is not used and optimization variables does not relaxed, which are used typically. Simulation results show some good codes close to the capacity.