English

Treeplication: An Erasure Code for Distributed Full Recovery under the Random Multiset Channel

Information Theory 2020-02-25 v1 math.IT

Abstract

This paper presents a new erasure code called Treeplication designed for distributed recovery of the full information word, while most prior work in coding for distributed storage only supports distributed repair of individual symbols. A Treeplication code for kk information symbols is defined on a binary tree with 2k12k-1 vertices, along with a distribution for selecting code symbols from the tree layers. We analyze and optimize the code under a random-multiset model, which captures the system property that the nodes available for recovery are drawn randomly from the nodes storing the code symbols. Treeplication codes are shown to have full-recovery communication-cost comparable to replication, while offering much better recoverability.

Keywords

Cite

@article{arxiv.2002.09895,
  title  = {Treeplication: An Erasure Code for Distributed Full Recovery under the Random Multiset Channel},
  author = {Michael Gandelman and Yuval Cassuto},
  journal= {arXiv preprint arXiv:2002.09895},
  year   = {2020}
}
R2 v1 2026-06-23T13:50:46.629Z