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An Explicit Construction of Optimal Streaming Codes for Channels With Burst and Arbitrary Erasures
IEEE Transactions on Communications ( IF 5.690 ) Pub Date : 2019-09-27 , DOI: 10.1109/tcomm.2019.2944372
Damian Dudzicz; Silas L. Fong; Ashish Khisti

This paper presents a new construction of error correcting codes which achieves optimal recovery of a streaming source over a packet erasure channel. The channel model considered is the sliding-window erasure model, with burst and arbitrary losses, introduced by Badr et al. We present a simple construction, when the rate of the code is at least 1/2, which achieves optimal error correction in this setup. Our proposed construction is explicit and systematic. It uses off-the-shelf maximum distance separable (MDS) codes and maximum rank distance (MRD) Gabidulin block codes as constituent codes and combines them in a simple manner. This is in contrast to other recent works, where the construction involves a careful design of the generator or parity check matrix from first principles. The field size requirement which depends on the constituent MDS and MRD codes is also analyzed.
更新日期:2020-01-17

 

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