Staircase Codes for Secret Sharing with Optimal Communication and Read Overheads

Rawad Bitar; Salim El Rouayheb

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arXiv · 1512.02990

Staircase Codes for Secret Sharing with Optimal Communication and Read Overheads

Rawad Bitar·Salim El Rouayheb

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Abstract

We study the communication efficient secret sharing (CESS) problem introduced by Huang, Langberg, Kliewer and Bruck. A classical threshold secret sharing scheme randomly encodes a secret into $n$ shares given to $n$ parties, such that any set of at least $t$, $t n$. We describe two explicit constructions of Staircase codes that achieve minimum communication and read overheads respectively for a fixed $d$, and universally for all possible values of $d, t\leq d\leq n$.

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Rawad Bitar, Salim El Rouayheb. 2016-11-04. Staircase Codes for Secret Sharing with Optimal Communication and Read Overheads. https://arxiv.org/abs/1512.02990

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