Results 111 to 120 of about 9,843,422 (355)
paper is explained about elliptic curve exponentiation over prime field () which are Affine, projective, Jacobian, Chunnovsky-Jacobian and the modified Jacobian coordinate systems that how to implement elliptic curve exponentiation over prime field ...
T. Abdurahmonov, E. Yeoh, H. Hussain
semanticscholar +1 more source
CONSTRUCTING ELLIPTIC CURVES WITH A KNOWN NUMBER OF POINTS OVER A PRIME FIELD [PDF]
Elliptic curves with a known number of points over a given prime field Fn are often needed for use in cryptography. In the context of primality proving, Atkin and Morain suggested the use of the theory of complex multiplication to construct such curves ...
Amod Agashe, K. Lauter, R. Venkatesan
semanticscholar +1 more source
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka+10 more
wiley +1 more source
Irrigation Schedule of Rice Based on CROPWAT Model in Southern Central Yunnan
This study is conducted to further review the rationality of the standard for rice irrigation quotas in Jianshui of southern central Yunnan.On the basis of the observation data of Jianshui Meteorological Station from 1958 to 2013 and the rice-season test
DUAN Qicai+4 more
doaj
Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A.+1 more
doaj +1 more source
Prime polynomial values of linear functions in short intervals [PDF]
In this paper we establish a function field analogue of a conjecture in number theory which is a combination of several famous conjectures, including the Hardy-Littlewood prime tuple conjecture, conjectures on the number of primes in arithmetic progressions and in short intervals, and the Goldbach conjecture.
arxiv
Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu+15 more
wiley +1 more source
PREVIEW: Tonga needs Pōhiva’s message so kingdom can move forward
THE LATE Tongan Prime Minister ‘Akilisi Pōhiva was a clear visioned man whose message was still current, according to veteran Pacific journalist Michael Field.
Philip Cass, Michael Field
doaj +1 more source
The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives [PDF]
In this brief note we connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.
arxiv
The graph of the square mapping on the prime fields
AbstractThe action of the quadratic map f (x) = x2 on the multiplicative groups Fp∗ of the prime fields is examined in terms of an associated directed graph that sends an edge from each element to its image. A formula is given for the decomposition of the graph into cyclic components and their attached trees.
openaire +2 more sources