On independent distributed source coding problems with exact repair
Congduan Li, Fangwei Ye, Xuan Guang, Zhiheng Zhou, Chee Wei Tan, Raymond W. Yeung · 2017
In conventional distributed storage exact repair problems, all sources are reconstructed when the decoder has access to a certain number of encoders (disks). So, the underlying reconstruction network is equivalent to a single-source problem. This paper considers a variant of the exact repair problem, where the underlying reconstruction network is the independent distributed source coding problem, a type of multi-source problem. As the first non-trivial case with two sources and three encoders, the storage-repair tradeoff regions are proved for all the 33 instances, and it is shown that binary codes are optimal.