53 research outputs found

    Efficient arithmetic on elliptic curves in characteristic 2

    No full text
    International audienceWe present normal forms for elliptic curves over a field of characteristic 2 analogous to Edwards normal form, and determine bases of addition laws, which provide strikingly simple expressions for the group law. We deduce efficient algorithms for point addition and scalar multiplication on these forms. The resulting algorithms apply to any elliptic curve over a field of characteristic 2 with a 4-torsion point, via an isomorphism with one of the normal forms. We deduce algorithms for duplication in time 2M+5S+2mc2M + 5S + 2m_c and for addition of points in time 7M+2S7M + 2S, where MM is the cost of multiplication, SS the cost of squaring , and mcm_c the cost of multiplication by a constant. By a study of the Kummer curves K=E/{±1]}\mathcal{K} = E/\{\pm1]\}, we develop an algorithm for scalar multiplication with point recovery which computes the multiple of a point P with 4M+4S+2mc+mt4M + 4S + 2m_c + m_t per bit where mtm_t is multiplication by a constant that depends on PP

    Increased Expression of MiR-27a and MiR-24-2 in Esophageal Squamous Cell Carcinoma

    No full text
    Purpose: Esophageal squamous cell carcinoma (ESCC) is one of the predominant types of esophageal cancer with poor prognosis which shows high prevalence in eastern countries. Studying microRNAs that were considered for their capabilities such as tissue-specific expression and involvement in different cell features may be informative in the field of diagnostic and prognostic tumor markers. The expression levels of miR-27a and miR-24-2 have been reported to be dysregulated in various cancers and contribute in tumorigenesis and progression; thus, evaluating their expressional behavior and its association with tumor states alteration in ESCC could potentially be helpful. Methods: The study was conducted on 30 fresh specimens including tumor and normal counterparts� tissues of ESCC. After the extraction of total RNA, complementary DNA synthesis was performed by the use of linear specific primers. Eventually, real-time polymerase chain reaction was carried out for the measurement of microRNAs expression level. Results: According to the obtained data, miR 27a and miR-24-2 were significantly upregulated (~2.5 fold, p < 0.05) in tumor specimens compared with their normal adjacent tissue; Moreover, upregulation of miR-27a and 24-2 showed cooperative relationship while analyzed. However, there was no correlation between clinicopathological features and microRNAs upregulation. Conclusions: The results of this study show that miR-27a and miR-24-2 cooperatively upregulate in ESCC and suggest that these microRNAs can be introduced as a candidate for further study in the field of screening and prognostic biomarkers. © 2019, Springer Science+Business Media, LLC, part of Springer Nature

    A r c h i v e o f S I D Iranian Chemical Society Molecular Cloning, Expression and Sequence Analysis of DNA Polymerase I from an Iranian Thermophilic Bacterium, Bacillus sp. G (2006)

    No full text
    Thermostable DNA polymerases are widely used in DNA amplification reactions such as the Polymerase Chain Reaction (PCR), requiring the activity of the enzymes at high temperatures. The aim of the present study was to assess the potential biotechnological capabilities of Iranian thermostable DNA polymerases. To this end, we cloned the gene encoding a DNA polymerase from a novel thermophilic eubacterium, Bacillus sp. G (2006). Phylogentic analysis of this gene revealed that the new isolate belongs to the genera Bacillus. Sequence analysis of the fragment produced by degenerate primers also showed that it consists of 2,631 bp encoding an 876 amino acid protein, and subsequent amino acid sequence analysis of this DNA polymerase showed that it belongs to family A-type DNA polymerases. The expression vector pET28a (+) was chosen for expression of the gene fragment in the mesophilic host bacterium E. coli BL21. This expression vector has some advantages such as attachment of a Poly-His tag to the N-terminus of the protein for the ease of purification and a powerful promoter of lac-Z induced by IPTG. The band corresponding to the protein product was observed in the molecular weight range of about 100KDa on the SDS-PAGE gel after heat and Ni +2 -NTA column chromatography. Using the dot blot technique, the polymerase activity of the enzyme was qualitatively confirmed at 70 °C. Therefore, it is suggested that optimizations of this activity could make this enzyme appropriate for PCR processes in future

    INJECTIVE ENCODINGS TO ELLIPTIC CURVES

    No full text
    Abstract. We investigate the problem of constructing efficient, efficiently invertible injective maps with large image to the set of rational points of an elliptic curve over a finite field, and obtain an essentially optimal solution for a large families of curves, including all Edwards curves with a complete addition law. 1
    • …
    corecore