We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity finite group based on the difficulty of the membershipproblem for groups of integer matrices. Besides, a homomorphic cryptosystem is designed for the first time over finite commutative rings.
Homomorphic public-key cryptosystems over groups and rings
D. Grigoriev,Ilia N. Ponomarenko
Published 2003 in arXiv.org
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- Publication year
2003
- Venue
arXiv.org
- Publication date
2003-09-08
- Fields of study
Mathematics, Computer Science
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