Secret sharing with optimal decoding and repair bandwidth
Wentao Huang, Jehoshua Bruck · 2017
This paper studies the communication efficiency of threshold secret sharing schemes. We construct a family of Shamir's schemes with asymptotically optimal decoding bandwidth for arbitrary parameters. We also construct a family of secret sharing schemes with both optimal decoding and optimal repair bandwidth for arbitrary parameters. The construction leads to a family of regenerating codes allowing centralized repair of multiple node failures with small sub-packetization.