Root of Unity for Secure Distributed Matrix Multiplication: Grid Partition Case

Roberto Assis Machado; Felice Manganiello

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arXiv · 2206.01559

Root of Unity for Secure Distributed Matrix Multiplication: Grid Partition Case

Roberto Assis Machado·Felice Manganiello

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Abstract

We consider the problem of secure distributed matrix multiplication (SDMM), where a user has two matrices and wishes to compute their product with the help of $N$ honest but curious servers under the security constraint that any information about either $A$ or $B$ is not leaked to any server. This paper presents a \emph{new scheme} that considers a grid product partition for matrices $A$ and $B$, which achieves an upload cost significantly lower than the existing results in the literature. Since the grid partition is a general partition that incorporates the inner and outer ones, it turns out that the communication load of the proposed scheme matches the best-known protocols for those extreme cases.

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Roberto Assis Machado, Felice Manganiello. 2022-06-03. Root of Unity for Secure Distributed Matrix Multiplication: Grid Partition Case. https://arxiv.org/abs/2206.01559

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