搜索结果: 1-15 共查到“Genus 2”相关记录268条 . 查询时间(0.093 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent developments on random hyperbolic surfaces of large genus
大属随机 双曲曲面 球面几何
2023/4/21
In this talk, we report several very recent asymptotic results on certain classical geometric quantities viewed as random variables on the moduli space of Riemann surfaces for large genus (and many cu...
中国地质大学科学技术发展院胡家铭（硕士生），盛桂莲*等，环境学院/BGEG国家重点实验室，Proceedings of the Royal Society B: Biological Sciences (2021), Ancient mitochondrial genomes from Chinese cave hyenas provide insights into the evolutionary history of the genus Crocuta（图）
中国；洞鬣狗；古线粒体；基因组；斑鬣狗属；演化历史
2021/10/15
2021年1月27日，中国地质大学赖旭龙教授领导的古DNA研究团队与德国波兹坦大学、丹麦哥本哈根大学等单位合作研究的成果“Ancient mitochondrial genomes from Chinese cave hyenas provide insights into the evolutionary history of the genus Crocuta（中国洞鬣狗古线粒体基因组为斑鬣狗...
Hash functions from superspecial genus-2 curves using Richelot isogenies
isogeny-based cryptography genus 2 hyperelliptic curve CGL hash function
2019/3/21
Last year Takashima proposed a version of Charles, Goren and Lauter’s hash function using Richelot isogenies, starting from a genus-2 curve that allows for all subsequent arithmetic to be performed ov...
We construct a genus 2 curve inside the product of 2 elliptic curves. The formula for this construction has appeared in a previous paper. The current paper discusses how this formula arises naturally ...
Fast FPGA Implementations of Diffie-Hellman on the Kummer Surface of a Genus-2 Curve
Diffie-Hellman key exchange hyperelliptic curve cryptography Kummer surface
2017/9/1
We present the first hardware implementations of Diffie-Hellman key exchange based on the Kummer surface of Gaudry and Schost's genus-22 curve targeting a 128128-bit security level. We describe a sing...
Morphological variability between diploid and tetraploid taxa of the genus Betula L. in the Czech Republic
silver birch downy birch ploidy flow cytometry classification function
2018/3/6
The aim of this work was to suggest a reliable method for distinguishing between diploid and tetraploid taxa of the
genus Betula Linnaeus, based on leaf measurements. In total, 97 individuals from 6 ...
Reduced Mumford divisors of a genus 2 curve through its jacobian function field
hyperelliptic Mumford arithmetic
2017/2/20
We explore the function field of the jacobian JH of a hyperelliptic curve H of genus 2 in order to find reduced coordinates to represent points of JH and do arithmetic. We show how this relates to the...
Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers
Hyperelliptic curve cryptography Kummer surface genus 2
2016/12/10
We give one- and two-dimensional scalar multiplication algorithms for Jacobians of genus~2 curves that operate by projecting to Kummer surfaces, where we can exploit faster and more uniform pseudomult...
This work considers the problem of fast and secure scalar multiplication using curves of genus one defined over a field of prime order. Previous work by Gaudry and Lubicz had suggested the use of the ...
New genus of bacteria found living inside hydraulic fracturing wells
bacteria living hydraulic fracturing wells
2016/9/12
Researchers analyzing the genomes of microorganisms living in shale oil and gas wells have found evidence of sustainable ecosystems taking hold there—populated in part by a never-before-seen genus of ...
Comparison of the fungi Pestalotiopsis funerea (Desm.) Steyaert and Truncatella hartigii (Tubeuf) Steyaert isolated from some species of the genus Pinus L.in morphological characteristics of conidia and appendages
disease Pinus coulteri Pinus nigra Pinus ponderosa plant pathogens
2016/7/6
The similarity of and differences between the fungi Pestalotiopsis funerea (Desmazières) Steyaert and Truncatella hartigii (Tubeuf) Steyaert that damage the needles of the host plants Pinus ponderosa ...
Given a CM sextic field K, we give an explicit method for finding and constructing all genus 3 hyperelliptic curves whose Jacobians have complex multiplication by the maximal order of this field. Our ...
Computing theta functions in quasi-linear time in genus 2 and above
number theory hyperelliptic curves theta functions
2016/2/24
We outline an algorithm to compute θ(z, τ ) in genus 2 in quasi-optimal time, borrowing
ideas from the algorithm for theta constants and the one for θ(z, τ ) in genus 1. Our
implementation shows a l...
Time-Memory Trade-offs for Index Calculus in Genus 3
discrete logarithm problem index calculus double large prime
2016/1/9
In this paper, we present a variant of Diem’s Oe(q) index calculus algorithm to attack
the discrete logarithm problem (DLP) in Jacobians of genus 3 non-hyperelliptic curves over a
finite field Fq. W...
Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus 2 using base field operations
public-key cryptography hyperelliptic curves
2016/1/9
We present an efficient endomorphism for the Jacobian of a curve C of genus 2 for divisors having a Non
disjoint support. This extends the work of Costello in [12] who calculated explicit formul?for ...