… iid ensembles of codes achieve the DMC and AWGN channel … An Erasurechannel (EC) with erasure probability α and … The existence of a capacity-achieving code for a given channel …
… for a binarysymmetric queue-channel. … erasurechannel and the depolarising channel. We also showed that a classical coding/decoding strategy is capacityachieving for these channel. …
V Guruswami, A Riazanov, M Ye - Proceedings of the 52nd Annual ACM …, 2020 - dl.acm.org
… ity of the binarysymmetricchannel, and indeed any binary-… known efficiently decodable capacity-achieving family proven to … for bitdecoding holds for certain code ensembles, and for the …
… , the resulting decoder has lower complexity, and the proof we … an AWGN channel concatenated with an erasurechannel as … The code ensemble is generated from two random linear p-…
… , we extend the binaryerasurechannel (BEC) decoding … complex than for a general channel in the class of partial-… by using a binarycapacity-achievingensemble on jmax least …
… of the capacity-achieving input distribution while producing the first firm upper bound on the … Instead, this thesis focuses on providing elegant solutions for the complex mathematical …
… a classical example of a capacity-achieving family of codes. … threshold of the ensemble for channel capacity. In this context… focus on the binaryerasurechannel with erasure probability z, …
E Ram, Y Cassuto - IEEE Transactions on Information Theory, 2021 - ieeexplore.ieee.org
… low-complexity decoding for high-SNR channel instances, 2) … are given for coding over the binaryerasurechannel (BEC), … We construct a bilayer capacity-achieving sequence with …
… , ii) when, for complexity reasons, the channel likelihood is too … the existence of capacity achieving encoders and decoders. … The GMI and LM rates are ensemble tight, ie the ensemble …