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 modification fails to immunize the GGH13 construction against zeroizing attacks, and that the modified scheme is susceptible to the same attacks as the original one.

W e provide a brief history and overview of lattice based cryptography and cryptanalysis: shortest vector problems, closest vector problems, subset sum problem and knapsack systems, GGH, Ajtai-Dwork and NTRU. A detailed discussion of the algorithms NTRUEncrypt and NTRUSign follows. These algorithms have attractive operating speed and keysize and are based on hard problems that are seemingly int...

We report experiments on the security of the GGH-like cryptosystem proposed by Micciancio. Based on these experiments, we conclude that the system can be securely used only in lattice dimensions ≥ 782. Further experiments on the efficiency of the system show that it requires key sizes of 1MByte and more and that the key generation as well as the decryption take inacceptibly long. Therefore, Mic...

Our goal was to explore the possible interactions of potential metallodrug (η5-Cp*)Rh(III) complexes with histidine containing biomolecules (peptides/proteins) in order understand most important thermodynamic factors influencing biospeciation and biotransformation complexes. To this end, here we report systematic solution structural study on interaction cation peptides their constituents ((N-me...

Gold(Ill) generated via myeloperoxidase is thought to play an important role in the side-effects of anti-arthritic gold drugs [1, 2]. Au(lll)-modified peptides bound to MHC class II molecules may be involved in delayed hypersensitivity reactions (’gold rashes’) observed in patients undergoing chrysothempy, but little is known about the binding of Au(lll) to peptides. Only one crystal structure ...

Indistinguishability obfuscation is a central primitive in cryptography. Security of existing multilinear maps constructions on which current obfuscation candidates are based is poorly understood. In a few words, multilinear maps allow for checking if an arbitrary bounded degree polynomial on hidden values evaluates to zero or not. All known attacks on multilinear maps depend on the information...

At Crypto 2013, Coron, Lepoint, and Tibouchi (CLT) proposed a practical Graded Encoding Scheme (GES) over the integers, which has very similar cryptographic features to ideal multilinear maps. In fact, the scheme of Coron et al. is the second proposal of a secure GES, and has advantages over the first scheme of Garg, Gentry, and Halevi (GGH). For example, unlike the GGH construction, the subgro...

In this paper, we introduce a new lattice reduction technique applicable to the narrow, but important class of Hypercubic lattices, (L = Z ). Hypercubic lattices arise during transcript analysis of certain GGH, and NTRUSign signature schemes. After a few thousand signatures, key recovery amounts to discovering a hidden unitary matrix U , from its Gram matrix G = UU . This case of the Gram Matri...

The present study suggests the existence of an association between milk production traits and genetic polymorphisms at the growth hormone (GH) gene in the Portuguese indigenous Serrana goat. The DNA from 229 animals of two ecotypes (Jarmelista and Ribatejano) was analysed by polymerase chain reaction-single strand conformation polymorphism (PCR-SSCP) technique revealing a high degree of genetic...