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Found 31 Documents (Results 1–31)

DiSSECT: distinguisher of standard and simulated elliptic curves via traits. (English) Zbl 1515.94091

Batina, Lejla (ed.) et al., Progress in cryptology – AFRICACRYPT 2022. 13th international conference on cryptology in Africa, AFRICACRYPT 2022, Fes, Morocco, July 18–20, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13503, 493-517 (2022).
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Families of SNARK-friendly 2-chains of elliptic curves. (English) Zbl 1497.94085

Dunkelman, Orr (ed.) et al., Advances in cryptology – EUROCRYPT 2022. 41st annual international conference on the theory and applications of cryptographic techniques, Trondheim, Norway, May 30 – June 3, 2022. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13276, 367-396 (2022).
MSC:  94A60 14G50 14H52
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The quadratic hull of a code and the geometric view on multiplication algorithms. (English) Zbl 1497.94178

Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 267-296 (2021).
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Trapdoor DDH groups from pairings and isogenies. (English) Zbl 1485.94102

Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 431-450 (2021).
MSC:  94A60 11G07 14G50
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Trisymmetric multiplication formulae in finite fields. (English) Zbl 1480.12001

Bajard, Jean Claude (ed.) et al., Arithmetic of finite fields. 8th international workshop, WAIFI 2020, Rennes, France, July 6–8, 2020. Revised selected and invited papers. Cham: Springer. Lect. Notes Comput. Sci. 12542, 92-111 (2021).
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On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry. (English. Russian original) Zbl 1482.11164

Russ. Math. Surv. 76, No. 1, 29-89 (2021); translation from Usp. Mat. Nauk 76, No. 1, 31-94 (2021).
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Curves with fast computations in the first pairing group. (English) Zbl 1520.94046

Krenn, Stephan (ed.) et al., Cryptology and network security. 19th international conference, CANS 2020, Vienna, Austria, December 14–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12579, 280-298 (2020).
MSC:  94A60 14G50 14H52
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Faster cofactorization with ECM using mixed representations. (English) Zbl 1483.11264

Kiayias, Aggelos (ed.) et al., Public-key cryptography – PKC 2020. 23rd IACR international conference on practice and theory of public-key cryptography, Edinburgh, UK, May 4–7, 2020. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12111, 483-504 (2020).
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Solving discrete logarithms on a 170-bit MNT curve by pairing reduction. (English) Zbl 1418.11159

Avanzi, Roberto (ed.) et al., Selected areas in cryptography – SAC 2016. 23rd international conference, St. John’s, NL, Canada, August 10–12, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10532, 559-578 (2017).
MSC:  11T71 94A60 14G50
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Field extensions and index calculus on algebraic curves. (English) Zbl 1430.11164

Bassa, Alp (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 15th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Luminy, France, May 18–22, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 686, 187-199 (2017).
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Subgroup security in pairing-based cryptography. (English) Zbl 1370.94485

Lauter, Kristin (ed.) et al., Progress in cryptology – LATINCRYPT 2015. 4th international conference on cryptology and information security in Latin America, Guadalajara, Mexico, August 23–26, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-22173-1/pbk; 978-3-319-22174-8/ebook). Lecture Notes in Computer Science 9230, 245-265 (2015).
MSC:  94A60 14G50
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Computational number theory and cryptography. (English) Zbl 1312.94079

Daras, Nicholas J. (ed.), Applications of mathematics and informatics in science and engineering. Selected papers based on the presentations at the 2nd international conference on applications of mathematics and informatics in military sciences, AMIMS, April 12–13, 2013, Hellenic Military Academy, Vari Attikis, Greece. Cham: Springer (ISBN 978-3-319-04719-5/hbk; 978-3-319-04720-1/ebook). Springer Optimization and Its Applications 91, 349-373 (2014).
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