The Stopping Set Property and the Iterative Decoding Performance of Binary Block Codes on BSC and AWGN Channel

In the field of Error Correcting Coding (ECC), the concept of ''stopping set'' recently became a hot topic. A stopping set for a parity-check matrix is the set of bits which would cause the iterative decoding progress in Binary Erasure Channel (BEC) to ''stop'' when it is erased. It has already been proved in several papers that the decoding...

Results on Parity-Check Matrices With Optimal Stopping And/Or Dead-End Set Enumerators

The performance of iterative decoding techniques for linear block codes correcting erasures depends very much on the sizes of the stopping sets associated with the underlying Tanner graph, or, equivalently, the parity-check matrix representing the code. In this correspondence, we introduce the notion of dead-end sets to explicitly demonstrate...