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Codes for Secure Distributed Matrix Multiplication

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If you have a question about this talk, please contact Joan P O'Brien.

I will talk about the problem of Secure Distributed Matrix Multiplication (SDMM) in which a user wishes to compute the product of two matrices using the assistance of honest but curious workers. In our recent work, we linked code constructions for SDMM with low communication cost to a new combinatorial object that we call Additive Degree Table (ADT). By studying ADTs, we devise a new parametrized family of codes for SDMM that we call GASP (Gap Additive Secure Polynomial) Codes. I will also talk about lower bounds and when GASP codes are optimal. I will conclude with some related open problems. This is joint work with Rafael D’Oliveira, Daniel Heinlein and David Karpuk.

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