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Technical Program

Paper Detail

Paper IDD4-S2-T2.3
Paper Title Efficient Maximum Likelihood Decoding of Polar Codes Over the Binary Erasure Channel
Authors Yonatan Urman, David Burshtein, Tel Aviv University, Israel
Session D4-S2-T2: Decoding and Optimality
Chaired Session: Thursday, 15 July, 22:20 - 22:40
Engagement Session: Thursday, 15 July, 22:40 - 23:00
Abstract A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorithm applies a matrix triangulation process on a sparse polar code parity check matrix, followed by solving a small size linear system over GF(2). To implement the matrix triangulation, we apply belief propagation decoding type operations. We also indicate how this decoder can be implemented in parallel for low latency decoding. Numerical simulations are used to evaluate the performance and computational complexity of the new algorithm.