Authors:
Radu Ciucanu
1
;
Matthieu Giraud
2
;
Pascal Lafourcade
2
and
Lihua Ye
3
Affiliations:
1
INSA Centre Val de Loire, Univ. Orléans, LIFO EA 4022, Bourges and France
;
2
LIMOS, UMR 6158, Université Clermont Auvergne, Aubière and France
;
3
Harbin Institute of Technology and China
Keyword(s):
Matrix Multiplication, Strassen-Winograd Algorithm, MapReduce, Security.
Related
Ontology
Subjects/Areas/Topics:
Applied Cryptography
;
Cryptographic Techniques and Key Management
;
Data Engineering
;
Database Security and Privacy
;
Databases and Data Security
;
Information and Systems Security
;
Security and Privacy for Big Data
;
Security and Privacy in the Cloud
;
Security in Information Systems
Abstract:
Matrix multiplication is a mathematical brick for solving many real life problems. We consider the Strassen-Winograd algorithm (SW), one of the most efficient matrix multiplication algorithm. Our first contribution is to redesign SW algorithm MapReduce programming model that allows to process big data sets in parallel on a cluster. Moreover, our main contribution is to address the inherent security and privacy concerns that occur when outsourcing data to a public cloud. We propose a secure approach of SW with MapReduce called S2M3, for Secure Strassen-Winograd Matrix Multiplication with Mapreduce. We prove the security of our protocol in a standard security model and provide a proof-of-concept empirical evaluation suggesting its efficiency.