An Efficient Dispersal Storage Scheme Based on Ring-LWE and NTT

We propose a novel dispersal storage scheme based on the ring learning with errors (Ring-LWE) problem. Our main technical contribution is a new systematic erasure code, called SNTT, to solve the problem of applying Ring-LWE in dispersal storage. SNTT is based on the number theoretic transform (NTT). To the best of our knowledge, SNTT is the first work that applies NTT to guarantee data availability. Analysis and experiments show that our new scheme with proper configurations outperforms the state of the art in encoding/decoding speed. Furthermore, we show that SNTT can also be used to optimize performance of existing schemes.