The overstretched NTRU problem, which is the NTRU problem with super-polynomial size q in n, is one of the most important candidates for higher level cryptography. Unfortunately, Albrecht et al. in Crypto 2016 and Cheon et al. in ANTS 2016 proposed so-called subfield attacks which demonstrate that the overstretched NTRU problems with power-of-two cyclotomic modulus are not secure enough with gi...

Let f and g be polynomials of a bounded Euclidean norm in the ring Z[X]/⟨X+1⟩. Given the polynomial [f/g]q ∈ Zq[X]/⟨X+1⟩, the NTRU problem is to find a, b ∈ Z[X]/⟨X + 1⟩ with a small Euclidean norm such that [a/b]q = [f/g]q. We propose an algorithm to solve the NTRU problem, which runs in 2 2 λ) time when ∥g∥, ∥f∥, and ∥g−1∥ are within some range. The main technique of our algorithm is the redu...

Multilinear maps have become popular tools for designing cryptographic schemes since a first approximate realisation candidate was proposed by Garg, Gentry and Halevi (GGH). This construction was later improved by Langlois, Stehlé and Steinfeld who proposed GGHLite which offers smaller parameter sizes. In this work, we provide the first implementation of such approximate multilinear maps based ...

The bilinear map whose domain and range are identical is called self-bilinear map. Once such kind of bilinear map exists, the multilinear map can be constructed easily by using self bilinear map as a component. Yamakawa et al. have introduced the first secure self-bilinear map with auxiliary information based on the integer factoring assumption in Crypto 2014. Inspired by their work, we find th...

We investigated major determinants of the intracellular concentrations of methotrexate polyglutamates (MTXPGs) in patients with rheumatoid arthritis (RA). In 271 RA patients on stable oral low dose weekly pulse MTX therapy, the concentrations of MTXPGs in red blood cells (RBCs) were measured by liquid chromatography-electrospray ionization-tandem mass spectrometry. Polymerase chain reaction-res...

The efficacy of methotrexate (MT) in patients with rheumatoid arthritis (RA) may be determined by genetic factors. Objective : to evaluate the isolated and combined effects single nucleotide polymorphisms (SNPs) membrane transporter proteins (RFC1 80G>A MDR1 3435C>T) GGH -401C>T gamma-glutamyl hydrolase enzyme genes on MT RA. Material methods . study group consisted 85 a confirmed diag...

BACKGROUND Traditional Chinese Medicine (TCM) has been applied in treating tuberculosis (TB) based on the TCM syndromes with the effects of inhibiting Mycobacterium, strengthening the body immune system, and reducing the pulmonary toxicity. We used bioinformatic methods to study the clinical and pathological characteristics of pulmonary TB patients with TCM syndromes. Isobaric tags for relative...

Gu map-1 is a modified version of GGH map. It uses same ideal lattices for constructing the trapdoors, while the novelty is that no encodings of zero are given. In this short paper we show that Gu map-1 cannot be used for the instance of witness encryption (WE) based on the hardness of 3-exact cover problem. That is, if Gu map-1 is used for such instance, we can break it by soving a combined 3-...