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1Academic Journal
المؤلفون: Stange, Katherine E.
المصدر: Mathematical Cryptology; Vol. 3 No. 2 (2023): Special Issue MathCrypt 2023; 2-10
مصطلحات موضوعية: integer factoring, index calculus
وصف الملف: application/pdf
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2Academic Journal
المؤلفون: Yokoyama Kazuhiro, Yasuda Masaya, Takahashi Yasushi, Kogure Jun
المصدر: Journal of Mathematical Cryptology, Vol 14, Iss 1, Pp 460-485 (2020)
مصطلحات موضوعية: ecdlp, summation polynomials, index calculus methods, gröbner basis computation, fall degrees, primary 94a60, secondary 14g50, Mathematics, QA1-939
وصف الملف: electronic resource
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3Conference
المؤلفون: Trimoska, Monika, Ionica, Sorina, Dequen, Gilles
المساهمون: Modélisation, Information et Systèmes - UR UPJV 4290 (MIS), Université de Picardie Jules Verne (UPJV)
المصدر: Progress in Cryptology - AFRICACRYPT 2020 ; https://hal.science/hal-03230853 ; Progress in Cryptology - AFRICACRYPT 2020, Jul 2020, Cairo, Egypt. pp.214-235, ⟨10.1007/978-3-030-51938-4⟩
مصطلحات موضوعية: Discrete logarithm, Index calculus, Elliptic curves, Point decomposition, Symmetry, Satisfiability, dpll algorithm, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]
Relation: hal-03230853; https://hal.science/hal-03230853; https://hal.science/hal-03230853/document; https://hal.science/hal-03230853/file/main.pdf
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4Academic Journal
المساهمون: Department of Computer Science Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN) Mexico City, Mexico (CINVESTAV-IPN), Technology Innovation Institute, Abu Dhabi, Geometry, arithmetic, algorithms, codes and encryption (GRACE), Laboratoire d'informatique de l'École polytechnique Palaiseau (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
المصدر: ISSN: 1071-5797.
مصطلحات موضوعية: GHS Weil descent, extended GLS endomorphism, index-calculus algorithm, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR]
Relation: info:eu-repo/semantics/altIdentifier/arxiv/2106.09967; hal-03233803; https://inria.hal.science/hal-03233803; https://inria.hal.science/hal-03233803/document; https://inria.hal.science/hal-03233803/file/manuscript.pdf; ARXIV: 2106.09967
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5Dissertation/ Thesis
المؤلفون: Cajnkar, Nino
المساهمون: Žitnik, Arjana
مصطلحات موضوعية: diskretni logaritem, napad na diskretni logaritem, metoda eliptičnih krivulj, algoritem index calculus, discrete logarithm, attack on discrete logarithm, elliptic curve method, index calculus algorithm, info:eu-repo/classification/udc/511
وصف الملف: application/pdf
Relation: https://repozitorij.uni-lj.si/IzpisGradiva.php?id=150820; https://repozitorij.uni-lj.si/Dokument.php?id=175633&dn=; https://plus.cobiss.net/cobiss/si/sl/bib/165575939; http://hdl.handle.net/20.500.12556/RUL-150820
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6Conference
المؤلفون: Mangır, Ceyda, Cenk, Murat, Manguoğlu, Murat
مصطلحات موضوعية: Matrix-vector multiplication, Index calculus algorithm, Wiedemann, Lanczos
Relation: Mangır C., CENK M., MANGUOĞLU M., "An improved algorithm for iterative matrix-vector multiplications over finite fields", 11th International Conference on Security for Information Technology and Communications, SecITC 2018, Bucharest, Romanya, 8 - 09 Kasım 2018, ss.358-367; 85063007018; https://hdl.handle.net/11511/31437
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7Academic Journal
المؤلفون: Oyono, Roger, Thériault, Nicolas
المساهمون: Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF)
المصدر: ISSN: 1071-5797.
مصطلحات موضوعية: Index calculus, non-hyperelliptic curves, discrete logarithm, [MATH]Mathematics [math]
Relation: hal-04138475; https://hal.science/hal-04138475
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8Academic Journal
المؤلفون: Laine Kim, Lauter Kristin
المصدر: Journal of Mathematical Cryptology, Vol 9, Iss 2, Pp 95-114 (2015)
مصطلحات موضوعية: discrete logarithm problem, index calculus, double large prime, higher genus, genus 3, non-hyperelliptic curve, quartic curve, plane curve, time-memory trade-off, 11y16, 11t71, Mathematics, QA1-939
وصف الملف: electronic resource
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9Book
المؤلفون: Vitse, Vanessa
المساهمون: Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )
المصدر: Arithmetic, Geometry, Cryptography and Coding Theory ; https://hal.science/hal-01981587 ; Arithmetic, Geometry, Cryptography and Coding Theory, AMS, 2017, Contemporary Mathematics
مصطلحات موضوعية: index calculus, divisor class group, hyperelliptic curve cryptography, discrete logarithm problem, Jacobian variety, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
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10Academic Journal
المؤلفون: Faugère, Jean-Charles, Wallet, Alexandre
المساهمون: Polynomial Systems (PolSys), Laboratoire d'Informatique de Paris 6 (LIP6), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Arithmetic and Computing (ARIC), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire de l'Informatique du Parallélisme (LIP), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)
المصدر: ISSN: 0925-1022.
مصطلحات موضوعية: Mathematics Subject Classification (2000) 14G50, index calculus, discrete logarithm, algebraic attacks, algebraic curves, Gröbner bases, curve-based cryptography, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [INFO.INFO-CC]Computer Science [cs]/Computational Complexity [cs.CC], [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]
Relation: hal-01658573; https://inria.hal.science/hal-01658573; https://inria.hal.science/hal-01658573/document; https://inria.hal.science/hal-01658573/file/HyperSum.pdf
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11Academic Journal
المؤلفون: Atsuko MIYAJI, Chen-Mou CHENG, Kenta KODERA
المصدر: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 2019, E102.A(9):1061
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12Conference
المؤلفون: Vitse, Vanessa, Wallet, Alexandre
المساهمون: Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ), Polynomial Systems (PolSys), Laboratoire d'Informatique de Paris 6 (LIP6), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Kristin Lauter, Francisco Rodríguez-Henríquez
المصدر: Progress in Cryptology -- LATINCRYPT 2015 ; LATINCRYPT 2015, 4th International Conference on Cryptology and Information Security in Latin America ; https://hal.sorbonne-universite.fr/hal-01203086 ; LATINCRYPT 2015, 4th International Conference on Cryptology and Information Security in Latin America, Aug 2015, Guadalajara, Mexico. pp.295-307, ⟨10.1007/978-3-319-22174-8_16⟩
مصطلحات موضوعية: curve-based cryptography, algebraic curves, discrete logarithm, index calculus, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
جغرافية الموضوع: Mexico
Time: Guadalajara, Mexico
Relation: hal-01203086; https://hal.sorbonne-universite.fr/hal-01203086; https://hal.sorbonne-universite.fr/hal-01203086/document; https://hal.sorbonne-universite.fr/hal-01203086/file/SievingB.pdf
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13Academic Journal
المؤلفون: Koblitz Neal, Menezes Alfred
المصدر: Journal of Mathematical Cryptology, Vol 2, Iss 4, Pp 311-326 (2008)
مصطلحات موضوعية: public-key cryptography, discrete log problem, diffie-hellman problem, jacobian groups, index calculus, provable security, Mathematics, QA1-939
وصف الملف: electronic resource
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14Conference
المساهمون: Polynomial Systems (PolSys), Laboratoire d'Informatique de Paris 6 (LIP6), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ), Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ), ANR-11-LABX-0025,PERSYVAL-lab,Systemes et Algorithmes Pervasifs au confluent des mondes physique et numérique(2011), ANR-11-BS02-0013,HPAC,Calcul Algébrique Haute-Performance(2011)
المصدر: EUROCRYPT 2014 - 33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques ; https://inria.hal.science/hal-00935050 ; EUROCRYPT 2014 - 33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques, May 2014, Copenhagen, Denmark. pp.40-57, ⟨10.1007/978-3-642-55220-5_3⟩
مصطلحات موضوعية: invariant theory, multivariate polynomial systems, Semaev polynomials, ECDLP, decomposition method, index calculus, [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC], [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
جغرافية الموضوع: Copenhagen, Denmark
Relation: hal-00935050; https://inria.hal.science/hal-00935050; https://inria.hal.science/hal-00935050/document; https://inria.hal.science/hal-00935050/file/Semaev2torsion.pdf
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15Dissertation/ Thesis
المؤلفون: Storić, Luka
المساهمون: Matić, Ivan
مصطلحات موضوعية: kriptosustav s javnim ključem, problem diskretnog logaritma, ElGamalov kriptosustav, Shanksov Algoritam, Pollardov rho algoritam, Pohlig-Hellmanov algoritam, Metoda računanja indeksa, public key cryptosystem, discrete logarithm problem, ElGamal’s cryptosystem, Shanks’ Algorithm, Pollard rho algorithm, Pohlig-Hellman Algorithm and Index Calculus Method, PRIRODNE ZNANOSTI. Matematika. Algebra, NATURAL SCIENCES. Mathematics. Algebra
وصف الملف: application/pdf
Relation: https://repozitorij.unios.hr/islandora/object/mathos:658; https://urn.nsk.hr/urn:nbn:hr:126:458256; https://repozitorij.unios.hr/islandora/object/mathos:658/datastream/PDF
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16Conference
المؤلفون: Joux, Antoine, Vitse, Vanessa
المساهمون: Laboratoire de cryptographie de l'ANSSI (LCR), Agence nationale de la sécurité des systèmes d'information (ANSSI), Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )
المصدر: Eurocrypt 2012 ; https://hal.archives-ouvertes.fr/hal-01981526 ; Eurocrypt 2012, 2012, Cambridge, United Kingdom. pp.9-26
مصطلحات موضوعية: Weil descent, index calculus, discrete logarithm, decomposition attack, elliptic curve, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
جغرافية الموضوع: Cambridge, United Kingdom
Relation: hal-01981526; https://hal.archives-ouvertes.fr/hal-01981526; https://hal.archives-ouvertes.fr/hal-01981526/document; https://hal.archives-ouvertes.fr/hal-01981526/file/Paper75.pdf
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17Academic Journal
المؤلفون: Tsutomu Iijima, Fumiyuki Momose, Jinhui Chao
المساهمون: The Pennsylvania State University CiteSeerX Archives
المصدر: http://eprint.iacr.org/2015/805.pdf.
مصطلحات موضوعية: Elliptic curve cryptosystems, Hyperelliptic curve cryptosystems, Index calculus, GHS attack, Galois representation
وصف الملف: application/pdf
Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.732.4234; http://eprint.iacr.org/2015/805.pdf
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18Academic Journal
المؤلفون: Gorla, Elisa, Massierer, Maike
المساهمون: Institut de Mathematiques Universite de Neuchatel, Université de Neuchâtel = University of Neuchatel (UNINE), Mathematisches Institut, Universität Basel, Université de Bâle = University of Basel (Unibas), Swiss national science foundation, grant no. 123393
المصدر: ISSN: 1930-5346.
مصطلحات موضوعية: discrete logarithm problem, elliptic curve cryptography, index calculus, trace zero variety, MSC: Primary: 14G50, 11G25, 11Y40, Secondary: 11T71, 14K15, 14H52, [MATH]Mathematics [math], [INFO]Computer Science [cs]
Relation: info:eu-repo/semantics/altIdentifier/arxiv/1405.1059; hal-01097427; https://inria.hal.science/hal-01097427; https://inria.hal.science/hal-01097427v2/document; https://inria.hal.science/hal-01097427v2/file/index-calc.pdf; ARXIV: 1405.1059
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19
المساهمون: Department of Computer Science Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN) Mexico City, Mexico (CINVESTAV-IPN), Technology Innovation Institute, Abu Dhabi, Geometry, arithmetic, algorithms, codes and encryption (GRACE), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
المصدر: Finite Fields and Their Applications
Finite Fields and Their Applications, Elsevier, In press, 75, ⟨10.1016/j.ffa.2021.101891⟩
Finite Fields Their Appl.
Finite Fields and Their Applications, In press, 75, ⟨10.1016/j.ffa.2021.101891⟩مصطلحات موضوعية: FOS: Computer and information sciences, Computer Science - Cryptography and Security, Endomorphism, Computer science, extended GLS endomorphism, Binary number, Field (mathematics), 0102 computer and information sciences, 02 engineering and technology, index-calculus algorithm, 01 natural sciences, Theoretical Computer Science, Combinatorics, GHS Weil descent, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], 0202 electrical engineering, electronic engineering, information engineering, Algebra and Number Theory, Applied Mathematics, Image (category theory), General Engineering, Magma (algebra), 020206 networking & telecommunications, Elliptic curve, 010201 computation theory & mathematics, Discrete logarithm, Cryptography and Security (cs.CR), Hyperelliptic curve
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20
المؤلفون: Laine, Kim
مصطلحات موضوعية: Mathematics, Cryptography, Genus 3 curves, Index calculus, Isogeny attack
وصف الملف: application/pdf
URL الوصول: https://escholarship.org/uc/item/5d22z098
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