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Accelerating Homomorphic Computations on Rational Numbers
Fully Homomorphic Encryption Encoding Confidential Machine Learning
2016/7/7
Fully Homomorphic Encryption (FHE) schemes are conceptually very powerful tools for outsourcing computations on confidential data. However, experience shows that FHE-based solutions are not sufficient...
Encoding Rational Numbers for FHE-based Applications
Continued fractions Gosper algorithm Rational numbers
2016/4/6
This work addresses a basic problem of security systems that operate on very sensitive
information, such as healthcare data. Specifically, we are interested in the problem of privately
handling medi...
SBIM(Q) - a Multivariate Polynomial Trapdoor Function over the Field of Rational Numbers
trap-door function bi-permutations quasigroup transformations
2016/1/7
In this paper we define a trapdoor function called SBIM(Q) by using multivariate polynomials over the field of rational numbers Q. The public key consists of 2n multivariate polynomials with 3n variab...