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An Algorithm for NTRU Problems and Cryptanalysis of the GGH Multilinear Map without an encoding of zero
NTRU GGH Multilinear Maps Ideal Lattice
2016/2/23
Let h and g be polynomials of bounded Euclidean norm in the ring Z[X]/. Given polynomial [ h/ g]_q\in Z_q[X]/< X^n+1 >, the NTRU problem is to find a, b\in Z[X]/ with small Euclidean nor...
Improving GGH Public Key Scheme Using Low Density Lattice Codes
Channel Coding Code-Based Cryptography Lattice Codes
2016/1/3
Goldreich-Goldwasser-Halevi (GGH) public key cryptosystem is an instance of lattice-based cryptosystems whose security is based on the hardness of lattice problems. In fact, GGH cryptosystem is the la...
Cryptanalysis of GGH Map
Multilinear maps Multipartite key exchange (MKE) Witness encryption (WE)
2015/12/31
Multilinear map is a novel primitive which has many cryptographic applications, and GGH map is a major candidate of K-linear maps for K>2. GGH map has two classes of applications, which are applicatio...
In this short note, we analyze the security of the quadratic zero-testing procedure for the
GGH13 graded encoding scheme, which was recently proposed by Gentry, Halevi and Lepoint.
We show that this...