Title
Efficient Implementation of Evaluating Multivariate Quadratic System with GPUs
Abstract
QUAD stream cipher uses multivariate polynomial systems. It has provable security based on the computational hardness assumption. More specifically, the security of QUAD depends on hardness of solving non-linear multivariate system us over a finite field, and it is known as an NP-Hard problem. However, QUAD is slower than other stream ciphers, and an efficient implementation, which has a reduced computational cost is required. In this paper, we propose an efficient implementation of computing multivariate polynomial systems for multivariate cryptography on GPU and evaluate efficiency of the proposal. GPU is considered to be a commodity parallel arithmetic unit. Moreover, we give an evaluation of our proposal. Our proposal parallelizes an algorithm of multivariate cryptography, and makes it efficient by optimizing the algorithm with GPU.
Year
DOI
Venue
2012
10.1109/IMIS.2012.139
IMIS
Keywords
Field
DocType
multivariate quadratic system,efficient implementation,stream cipher,non-linear multivariate system,provable security,computational hardness assumption,multivariate cryptography,multivariate polynomial system,np-hard problem,quad stream cipher,reduced computational cost,parallel algorithms,np hard problem,computational complexity,gpgpu,polynomials,finite field,kernel,cryptography,encryption
Computational hardness assumption,Multivariate cryptography,Cryptography,Parallel algorithm,Computer science,Parallel computing,Stream cipher,General-purpose computing on graphics processing units,Computational complexity theory,Provable security
Conference
Citations 
PageRank 
References 
2
0.41
3
Authors
3
Name
Order
Citations
PageRank
Satoshi Tanaka1123.93
Takashi Nishide235727.86
Kouichi Sakurai31514213.71