Secure Multi-Party Matrix Multiplication Based on Strassen-Winograd Algorithm

Abstract : This paper presents how to adapt Strassen-Winograd matrix multiplication algorithm to the context of secure multiparty computation. We consider that each player owns only one row of both input matrices and learns one row of the product matrix, without revealing their input to other players. After presenting some building block protocols, we describe how to perform a secure execution of Strassen-Winograd. Then, a comparison is made with a variant of the best known algorithm, relaxed to this setting. It first shows that, asymptotically, the communication volume is reduced from O(n 3) to O(n 2.81), as expected. Furthermore, a finer study on the amount of communication shows that the improvement occurs for matrices with dimension as small as n = 81.
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Pré-publication, Document de travail
2018
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Contributeur : David Lucas <>
Soumis le : lundi 30 avril 2018 - 14:51:28
Dernière modification le : vendredi 6 juillet 2018 - 10:08:02

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  • HAL Id : hal-01781554, version 1

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Jean-Guillaume Dumas, Pascal Lafourcade, Julio Fenner, David Lucas, Jean-Baptiste Orfila, et al.. Secure Multi-Party Matrix Multiplication Based on Strassen-Winograd Algorithm. 2018. 〈hal-01781554〉

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