Filters








397,394 Hits in 6.0 sec

Short Proofs of Knowledge for Factoring [chapter]

Guillaume Poupard, Jacques Stern
<span title="">2000</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;
The aim of this paper is to design a proof of knowledge for the factorization of an integer n.  ...  We propose a statistical zero-knowledge protocol similar to proofs of knowledge of discrete logarithm a la Schnorr.  ...  Acknowledgments We would like to thank Adi Shamir and Antoine Joux for their helpful comments and suggestions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-46588-1_11">doi:10.1007/978-3-540-46588-1_11</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/touuimt47fc65eorvos5culhjm">fatcat:touuimt47fc65eorvos5culhjm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170705140752/https://static.aminer.org/pdf/PDF/000/541/311/short_proofs_of_knowledge_for_factoring.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/aa/61/aa6136b744e95e7cf04e3ea841e5cb19b4d97275.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-46588-1_11"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Fair Encryption of RSA Keys [chapter]

Guillaume Poupard, Jacques Stern
<span title="">2000</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;
In this paper, we propose such proofs of fair encryption for El Gamal and RSA keys, using the Paillier cryptosystem.  ...  Our emphasis is on size; we believe that the proof should be of the same length as the original key.  ...  Short proof of knowledge for factoring Proofs of knowledge for the factorization of an integer n have been known for a long time.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-45539-6_13">doi:10.1007/3-540-45539-6_13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kmaqwgustzd5jowzomwqp2f3xa">fatcat:kmaqwgustzd5jowzomwqp2f3xa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20150429215101/http://www.iacr.org/archive/eurocrypt2000/1807/18070173-new.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/bb/22/bb22003825b09450d153fc1e44813f90ac19ac13.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-45539-6_13"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Risk Assurance for Hedge Funds Using Zero Knowledge Proofs [chapter]

Michael Szydlo
<span title="">2005</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;
This work describes how to apply standard tools of cryptographic commitments and zero-knowledge proofs, to financial engineering.  ...  Without de-committing the portfolio composition, the manager can use zero knowledge proofs to reveal chosen features to investors -such as the portfolio's approximate sector allocation, risk factor sensitivities  ...  Proof of Knowledge: A zero knowledge proof of knowledge allows a prover to demonstrate knowledge of hidden values without actually revealing them.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11507840_16">doi:10.1007/11507840_16</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sjeu6iqbwvb3dgtzzryliahsei">fatcat:sjeu6iqbwvb3dgtzzryliahsei</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20061029172511/http://www.ifca.ai:80/fc05/p13.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/a6/23/a62358c998b4f8d4efcfd9992cad99640ca39203.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11507840_16"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Public-Randomness in Public-Key Cryptography [chapter]

Alfredo De Santis, Giuseppe Persiano
<span title="">1991</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;
We propose the jirs~ implementation of non-interactive nature for Perfect Zero-Knowledge in the dual model of Brassard, Crbpeau, and Chaum for all NP-languages.  ...  We consider the Diffie-Bellman Public-key model in which an additional short random string is shared by all users.  ...  [DMP2] proved that after a preprocessing stage, it is possible to give a NIZK proof of any short NP-theorem.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-46877-3_5">doi:10.1007/3-540-46877-3_5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kksw4dij4vgxdaadfjpnjm424e">fatcat:kksw4dij4vgxdaadfjpnjm424e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200326131506/https://link.springer.com/content/pdf/10.1007%2F3-540-46877-3_5.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/32/3b/323bd791f393924ffe18b2982de641328900489a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-46877-3_5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Short Discreet Proofs [chapter]

Joan Boyar, René Peralta
<span title="">1996</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;
Our results here give non-interactive zero-knowledge proofs, in the shared random string model proposed by Blum, Feldman and Mi-Cali [l], of length O ( m log m). for the satisfiability of a circuit of  ...  For typical applications, the proofs are short enough to fit on a floppy disk. DeAnition2. ) Let N be a fixed Blum integer produced by the Prover.  ...  Length of Discreet Proofs For RSA and DES The aim of this section is t o show that our proofs are short enough t o be used in practice for commonly used cryptographic functions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-68339-9_12">doi:10.1007/3-540-68339-9_12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tdxv2tphmncs3i6zlxklrlc2ay">fatcat:tdxv2tphmncs3i6zlxklrlc2ay</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170910121950/https://link.springer.com/content/pdf/10.1007%2F3-540-68339-9_12.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/cb/bf/cbbf891f47f9d490ed8aa901f6d221602312edab.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-68339-9_12"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Statistical Zero-Knowledge Proofs with Efficient Provers: Lattice Problems and More [chapter]

Daniele Micciancio, Salil P. Vadhan
<span title="">2003</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;
Towards this end, we give a statistical zero-knowledge proof system with an efficient prover for a natural restriction of Statistical Difference, a complete problem for SZK.  ...  Our first proof systems are for approximate versions of the Shortest Vector Problem (SVP) and Closest Vector Problem (CVP), where the witness is simply a short vector in the lattice or a lattice vector  ...  We also thank Mihir Bellare for pointers to related work, and the anonymous reviewers and Minh Nguyen for helpful comments and corrections. Statistical Zero-Knowledge Proofs with Efficient Provers  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-45146-4_17">doi:10.1007/978-3-540-45146-4_17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wkzbwwspgzfflhwq7vdvuxxzyy">fatcat:wkzbwwspgzfflhwq7vdvuxxzyy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190228052923/http://pdfs.semanticscholar.org/86d7/9734a80ad5e9ecc725b8a7d5ca32f1ff532c.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/86/d7/86d79734a80ad5e9ecc725b8a7d5ca32f1ff532c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-45146-4_17"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Page 290 of The Month Vol. 6, Issue 5 [page]

<span title="">1951</span> <i title="The Month"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_month" style="color: black;">The Month </a> </i> &nbsp;
equally with reason, the heart is a factor in knowledge.  ...  In short, if the will in the sense of self-love is the principle of blindness and the source of mistakes, the will in the sense of the desire for Truth and the Good is the source of clear-sightedness:  ... 
<span class="external-identifiers"> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_month_1951-11_6_5/page/290" title="read fulltext microfilm" 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> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_month_1951-11_6_5/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Schematic representations in arithmetical problem solving: Analysis of their impact on grade 4 students

Annick Fagnant, Joëlle Vlassis
<span title="2013-03-24">2013</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ttey32kjnnfs5gwp7gk6oimiru" style="color: black;">Educational Studies in Mathematics</a> </i> &nbsp;
We discuss the implications of these results for evaluating teaching innovations and for supporting proof comprehension.  ...  knowledge.  ...  Company of Actuaries Research Fellowship (to MI).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10649-013-9476-4">doi:10.1007/s10649-013-9476-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qwefndnadrevjjmg4qzhdtfh7m">fatcat:qwefndnadrevjjmg4qzhdtfh7m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922040129/https://link.springer.com/content/pdf/10.1007%2Fs10649-017-9754-7.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/8b/4a/8b4aa0d88e19e26354d3c05b9cf3ce2c77ee72b9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10649-013-9476-4"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

On the Fly Authentication and Signature Schemes Based on Groups of Unknown Order

Marc Girault, Guillaume Poupard, Jacques Stern
<span title="2006-09-25">2006</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;
This paper provides complete security proofs of the identification scheme.  ...  based on the problem of computing discrete logarithms in any group, short keys, very short transmission and minimal online computation.  ...  Bleichenbacher for his comment on the necessity of checking the range of the challenges and the anonymous referees for fruitful comments, which greatly improved the quality of the paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00145-006-0224-0">doi:10.1007/s00145-006-0224-0</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ahmzrypu6rcfpjyydeuvu76o4e">fatcat:ahmzrypu6rcfpjyydeuvu76o4e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808123414/http://www.ssi.gouv.fr/uploads/IMG/pdf/gipost06.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/7e/db/7edbcd932909c12f7ab45f134856a014e73e8e0b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00145-006-0224-0"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Multimedia resources designed to support learning from written proofs: an eye-movement study

Somali Roy, Matthew Inglis, Lara Alcock
<span title="2017-03-29">2017</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ttey32kjnnfs5gwp7gk6oimiru" style="color: black;">Educational Studies in Mathematics</a> </i> &nbsp;
Company of Actuaries Research Fellowship (to MI).  ...  Acknowledgements This work was partially funded by a grant from the Mathematics, Statistics, and Operational Research Network of the Higher Education Academy (to LA and MI) and a Royal Society Worshipful  ...  short-term understanding of those explanations but only weaker integration with their own existing knowledge.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10649-017-9754-7">doi:10.1007/s10649-017-9754-7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yxe2pbehr5bclk6ogzipz4jtdy">fatcat:yxe2pbehr5bclk6ogzipz4jtdy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190419152216/https://core.ac.uk/download/pdf/78910568.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/fa/d7/fad7f3781fd1862a65ce55777c24811e9be562ff.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10649-017-9754-7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Page 4333 of Mathematical Reviews Vol. , Issue 90G [page]

<span title="">1990</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;
From the summary: “We extend the notion of interactive proofs of assertions to interactive proofs of knowledge.  ...  (not even the one bit revealed in zero-knowledge proofs of assertions).  ... 
<span class="external-identifiers"> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_mathematical-reviews_1990-07_90g/page/4333" title="read fulltext microfilm" 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> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_mathematical-reviews_1990-07_90g/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Zero-Knowledge Arguments and Public-Key Cryptography

A. Desantis, G. Dicrescenzo, G. Persiano
<span title="">1995</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joe2ngto45hbnl3pncnesnq344" style="color: black;">Information and Computation</a> </i> &nbsp;
In this work we consider the Di e-Hellman Public-key model in which an additional short random string is shared by all users.  ...  Building on this result, we show that all languages in NP have Perfect Zero-Knowledge Arguments in the PKPR model. De nition 1.  ...  Acknowledgments We are very grateful to Moti Yung for encouragement and helpful discussions. We thank Joe Kilian for his comments and useful suggestions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/inco.1995.1121">doi:10.1006/inco.1995.1121</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tlixnbmghbglzawq2eqt3joj7q">fatcat:tlixnbmghbglzawq2eqt3joj7q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190222193457/http://pdfs.semanticscholar.org/3bcb/49755a42d12e10fc6a444328d44b2a04373b.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/3b/cb/3bcb49755a42d12e10fc6a444328d44b2a04373b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/inco.1995.1121"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Practical Product Proofs for Lattice Commitments [chapter]

Thomas Attema, Vadim Lyubashevsky, Gregor Seiler
<span title="">2020</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
(SCN 2018), and the size of our multiplicative proof (9 KB) is only slightly larger than the 7 KB required for just proving knowledge of the committed values.  ...  low-degree factors, which is a desirable property for many applications (e.g. range proofs, multiplications over Zq) that take advantage of packing multiple integers into the NTT coefficients of the committed  ...  Introduction Commitment schemes, and their associated zero-knowledge proofs of knowledge (ZKPoK) of committed messages, from an important ingredient in the construction of generalized zero-knowledge proofs  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-030-56880-1_17">doi:10.1007/978-3-030-56880-1_17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ird2acpyejbxtgaqrbwtqd43vm">fatcat:ird2acpyejbxtgaqrbwtqd43vm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210428012414/https://ir.cwi.nl/pub/30158/Attema2020_Chapter_PracticalProductProofsForLatti.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/9d/44/9d44c3bdd90037750633d6f9346bfec60142f02c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-030-56880-1_17"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Page 3766 of Mathematical Reviews Vol. , Issue 2003e [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;
Jérg Rothe (Diisseldorf) 2003e:68041 68Q15 68P25 Poupard, Guillaume (F-ENS-DI; Paris) ; Stern, Jacques (F-ENS-DI; Paris) Short proofs of knowledge for factoring.  ...  This paper proposes a proof of knowledge for the factorization of an integer n, namely a statistical zero-knowledge protocol that is similar to the proofs of knowledge of discrete logarithms fol- lowing  ... 
<span class="external-identifiers"> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_mathematical-reviews_2003-05_2003e/page/3766" title="read fulltext microfilm" 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> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_mathematical-reviews_2003-05_2003e/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Better Zero-Knowledge Proofs for Lattice Encryption and Their Application to Group Signatures [chapter]

Fabrice Benhamouda, Jan Camenisch, Stephan Krenn, Vadim Lyubashevsky, Gregory Neven
<span title="">2014</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;
We then show how our new protocol can be combined with a proof of knowledge for Pedersen commitments in order to prove that the committed value is the same as the encrypted one.  ...  First, we provide a more efficient way to prove knowledge of plaintexts for lattice-based encryption schemes.  ...  A proof that t is a valid ciphertext (and also a proof of plaintext knowledge), therefore, involves proving that one knows a short e such that Ae = t.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-662-45611-8_29">doi:10.1007/978-3-662-45611-8_29</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pxvk6mwpp5c57dzsf6opwljfda">fatcat:pxvk6mwpp5c57dzsf6opwljfda</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190303041747/http://pdfs.semanticscholar.org/a76a/d055c7a5c7bc40982206e70ed08fbebc7608.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/a7/6a/a76ad055c7a5c7bc40982206e70ed08fbebc7608.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-662-45611-8_29"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
&laquo; Previous Showing results 1 &mdash; 15 out of 397,394 results