Flexible Field Sizes in Secure Distributed Matrix Multiplication via Efficient Interference Cancellation

Okko Makkonen*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

Abstract

In this paper, we propose a new secure distributed matrix multiplication (SDMM) scheme using the inner product partitioning. We construct a scheme with a minimal number of workers and no redundancy, and another scheme with redundancy against stragglers. Unlike previous constructions in the literature, we do not utilize algebraic methods such as locally repairable codes or algebraic geometry codes. Our construction, which is based on generalized Reed-Solomon codes, improves the flexibility of the field size as it does not assume any divisibility constraints among the different parameters. We achieve a minimal number of workers by efficiently canceling all interference terms with a suitable orthogonal decoding vector. Finally, we discuss how the MDS conjecture impacts the smallest achievable field size for SDMM schemes and show that our construction almost achieves the bound given by the conjecture.

Original languageEnglish
Title of host publication2024 IEEE International Symposium on Information Theory, ISIT 2024 - Proceedings
PublisherIEEE
Pages2562-2567
Number of pages6
ISBN (Electronic)9798350382846
DOIs
Publication statusPublished - 2024
MoE publication typeA4 Conference publication
EventIEEE International Symposium on Information Theory - Athens, Greece
Duration: 7 Jul 202412 Jul 2024

Publication series

NameIEEE International Symposium on Information Theory
PublisherIEEE
ISSN (Print)2157-8095
ISSN (Electronic)2157-8117

Conference

ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
Country/TerritoryGreece
CityAthens
Period07/07/202412/07/2024

Fingerprint

Dive into the research topics of 'Flexible Field Sizes in Secure Distributed Matrix Multiplication via Efficient Interference Cancellation'. Together they form a unique fingerprint.

Cite this