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Constructive and destructive facets of Weil descent on elliptic curves

P. Gaudry, F. Hess, N. P. Smart
<span title="">2002</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7jmi32x7o5hfnpkgh2irnuqpim" style="color: black;">Journal of Cryptology</a> </i> &nbsp;
In this paper we look in detail at the curves which arise in the method of Galbraith and Smart for producing curves in the Weil restriction of an elliptic curve over a nite eld of characteristic two of  ...  We examine the resulting higher genus curves in some detail and propose an additional check on elliptic curve systems de ned over elds of characteristic two so as to make them immune from the methods in  ...  The variety A is called the Weil restriction, and the above process is called Weil descent.  ... 
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Page 889 of Mathematical Reviews Vol. , Issue 2003B [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
P. (4-BRST-C; Bristol) Constructive and destructive facets of Weil descent on elliptic curves. (English summary) J. Cryptology 15 (2002), no. 1, 19-46.  ...  In Section 2 they use the Weil descent process to construct the Weil restriction variety A on an elliptic curve E defined over Fy of characteristic 2.  ... 
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Solving Hidden Number Problem with One Bit Oracle and Advice [chapter]

Adi Akavia
<span title="">2009</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Bellare, and P. Rogaway, DHIES: An encryption scheme based on the Diffie-Hellman problem, Preprint, 2001. [2] L. M. Adleman and J.  ...  A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields, ANTS I (L. M.  ...  Chan, and Z. Huang, Provably Gaudry, F. Hess, and N. P. Smart, Constructive and destructive facets of Weil descent on elliptic curves, J. Crypt. 15 (2002), no. 1, 19-46. [246] P. Gaudry and D.  ... 
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Page 335 of Mathematical Reviews Vol. , Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Constructive and destructive facets of Weil descent on elliptic curves. (English summary) 2003b:14032 van der Geer, Gerard Curves over finite fields and codes.  ...  On the unpredictability of bits of the elliptic curve Diffie-Hellman scheme. (English summary) 2003g:94034 — (with Franklin, Matt) Identity-based encryption from the Weil pairing.  ... 
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Page 2946 of Mathematical Reviews Vol. , Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Constructive and destructive facets of Weil descent on elliptic curves. (English summary) 2003b:14032 van der Geer, Gerard Curves over finite fields and codes.  ...  On the uniformity of distribution of congruential generators over elliptic curves. (English summary) 2003e:94055 — (with Shparlinski, [gor E.)  ... 
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虚数乗法論を用いた種数2超楕円曲線暗号の効率的な構成法について(<特集>数論アルゴリズムとその応用,その1)
Improvements in the CM-method of genus 2 hyperelliptic curve cryptosystems("Algorithmic Number Theory and Its Applications, Part 1")

Katsuyuki Takashima
<span title="">2002</span> <i title="The Japan Society for Industrial and Applied Mathematics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bhqg6b3xlnc33lx6uj5djnwusy" style="color: black;">Nihon Oyo Suri Gakkai ronbunshi</a> </i> &nbsp;
In this paper , we will present improvements in the secure genus 2 HEC ( hyperel − liptic curve ) cryptosystem construction by using the CM theory.  ...  In particular, the effectiveness of the " denomi 皿 ator guessing " method is esti 皿 ated heuristically and verified by experiments . In addition , a secure HEC cryptosystem parameter is described .  ...  Smart , " Constructive and Destructive Facets of Weil Descent bn EllipticCurves , , , J.σryp 亡 010gy , 15 ( 2002 ) , 19 − 46.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.11540/jsiamt.12.4_269">doi:10.11540/jsiamt.12.4_269</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fdqq546dynd7rnc5wumbfgo4oi">fatcat:fdqq546dynd7rnc5wumbfgo4oi</a> </span>
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Page 1955 of Mathematical Reviews Vol. , Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(Summary) 2003f:94079 94462 (with Gaudry, Pierrick; Hess, Florian) Constructive and destructive facets of Weil descent on elliptic curves. (English summary) J. Cryptology 15 (2002), no. 1, 19-46.  ...  (Summary) 2003k:94033 94460 (14G50, 94B27) A note on the x-coordinate of points on an elliptic curve in characteristic two. (English summary) Jnform. Process. Lett. 80 (2001), no. 5, 261-263.  ... 
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Phylogeny of an Acquired Characteristic

Alpheus Hyatt
<span title="">1894</span> <i title="American Philosophical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cx4twvfwd5cklf47nevnbl2xde" style="color: black;">Proceedings of the American Philosophical Society</a> </i> &nbsp;
If we admit such possibilities, and then find similar phenomena in the Paleozoic epoch, we shall no longer need our first picture, but can construct a far more natural one.  ...  , and then through a more completely curved or gyroceran stage, in which the first volution of the spiral is completed.  ...  But while both are thus constructive so far as the body is concerned, only one can be considered constructive or anabolic while the other is essentially destructive or catabolic so far as the cell itself  ... 
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10. The Role of the 'Red Commissar' Nikolai Punin in the Rediscovery of Icons [chapter]

Natalia Murray
<span title="">2017</span> <i title="Open Book Publishers"> Modernism and the Spiritual in Russian Art: New Perspectives </i> &nbsp;
centenary of the publication of Vasily Kandinsky's On the Spiritual in Art (1910-12). 25 Ibid., p. 257 (note 51  ...  The project to publish this book evolved from discussions at a conference, 'On the Spiritual in Russian Art', which we organised at Pembroke College, Cambridge, on 7-8 September 2012, in honour of the  ...  Elliptical compositions produced by the curve of the water's edge in both Petrov-Vodkin's and Japaridze's images and in Gudiashvili's Buffalo Tandem, moreover, make this division between the separate  ... 
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Whole Issue

Lorraine Kerslake
<span title="2020-04-28">2020</span> <i title="Universidad de Alcala"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/sbskmmf44vbwfkredvj5bvuwci" style="color: black;">Ecozon@</a> </i> &nbsp;
scale to the planetary, leaving the extinction of all life on Earth as the logical future.  ...  In his introduction to the Creative Writing and Art Section, Damiano Benvegnù writes of the long history of the use of 'climate' as a tool facilitating forms of domination and exploitation: it is a far  ...  We are here, and in a distant universe, Dry, barren sand. Each grain and the whole. Soon, too soon, ice glaciers will melt, and sweep Over us, destruction that will drench us into life again.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.37536/ecozona.2020.11.1.3709">doi:10.37536/ecozona.2020.11.1.3709</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lx7zwe3hvvd6hiwlnqi37flw6e">fatcat:lx7zwe3hvvd6hiwlnqi37flw6e</a> </span>
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11th North American Paleontological Conference Program with Abstracts

Mary Droser, Nigel Hughes, Nicole Bonuso, David Bottjer, Doug Eernisse, Robert Gaines, Austin Hendy, David Jacobs, Jess Miller-Camp, Richard Norris, Kaustav Roy, Peter Sadler (+3 others)
<span title="2019-06-19">2019</span> <i title="California Digital Library (CDL)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dxn6iudgebaazef5kcg5wrwcja" style="color: black;">PaleoBios</a> </i> &nbsp;
destruction and being overlooked during collection.  ...  A total of three quadrats (10m x 10m) were constructed and samples were collected every two metres.  ...  Using coalescent simulations on a set of genome-wide SNPs, we infer that the ancestors of North American and Eurasian E. caballus diverged around one million years ago.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5070/p9361044177">doi:10.5070/p9361044177</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zirzr46mm5b3zmfgcrzr4nc3xu">fatcat:zirzr46mm5b3zmfgcrzr4nc3xu</a> </span>
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Great Physicists - The Life and Times of Leading Physicists from Galileo to Hawking

William H Cropper
<span title="2002-10-23">2002</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vmucouwkwjehbf6mryypebdfju" style="color: black;">European journal of physics</a> </i> &nbsp;
A Tale of Two Revolutions 43 Sadi Carnot 4. On the Dark Side 51 Robert Mayer 5. A Holy Undertaking 59 James Joule 6. Unities and a Unifier 71 Hermann Helmholtz 7.  ...  Molecules and Entropy 179 Ludwig Boltzmann V. Relativity Historical Synopsis 201  ...  On January 8, 1642, three hundred years earlier, Galileo Galilei died, and in December of the year 1642 Isaac Newton was born.  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140628115300/http://www.iiit.ac.in:80/~bipin/files/Dawkins/New/Great%20physicists%20-From%20Galileo%20to%20Hawking.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0143-0807/23/6/702"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> iop.org </button> </a>

Wolfgang Pauli 1900 to 1930: His Early Physics in Jungian Perspective [article]

John R. Gustafson
<span title="2010-03-16">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
His exclusion principle, his influence on Werner Heisenberg in the formulation of matrix mechanics, his emphasis on firm logical and empirical foundations, his creativity in formulating electron spinors  ...  Pauli changed his mind from relying on high rationality and empiricism, to valuing intuitive metaphysical visualizations.  ...  learns that he is of Jewish descent.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1003.3223v1">arXiv:1003.3223v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/oattck5zffcqtor5ps4jlgkk6q">fatcat:oattck5zffcqtor5ps4jlgkk6q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200906235909/https://arxiv.org/ftp/arxiv/papers/1003/1003.3223.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/28/00/280094f7414be547925b6ce36c134f881c25ad93.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1003.3223v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Exploring dental morphological variability using virtual techniques

Cinzia Fornai
<span title="">2015</span> <span class="release-stage">unpublished</span>
The outcomes of the research conducted have contributed to our knowledge on hominin dental variability and to the morphological description or taxonomic (re)assessment of dental specimens from different  ...  times and places of human evolution. [...]  ...  Collard, and B. Richmond for very constructive discussions on the subject of our work. We thank J. Moggi-Cecchi for suggesting this project and S.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.25365/thesis.38865">doi:10.25365/thesis.38865</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xyjorzg7izdktmwm6sgae7ortu">fatcat:xyjorzg7izdktmwm6sgae7ortu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200222102547/http://othes.univie.ac.at/38865/1/2015-07-11_0963308.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1c/d6/1cd6e87018a2b10f96c856f84f852e0d5691bcab.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.25365/thesis.38865"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Lubricant transport towards tribocontact in capillary surface structures

Joachim Klima
<span title="">2018</span>
In this way one can use capillary force as a cheap and reliable driver of the lubricant flow.  ...  Numerical modeling and experiments show that this method can be considered a promising new option to enhance tribocontact operation.  ...  a gradient descent method.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5445/ksp/1000084131">doi:10.5445/ksp/1000084131</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yzw4lpqj2vf7lb3j3pdpypegqu">fatcat:yzw4lpqj2vf7lb3j3pdpypegqu</a> </span>
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