Fouazou Lontouo, Perez Broon; Fouotsa, Emmanuel; Tieudjo, Daniel Division polynomials on the Hessian model of elliptic curves. (English) Zbl 1511.14051 Appl. Algebra Eng. Commun. Comput. 34, No. 1, 1-16 (2023). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 PDFBibTeX XMLCite \textit{P. B. Fouazou Lontouo} et al., Appl. Algebra Eng. Commun. Comput. 34, No. 1, 1--16 (2023; Zbl 1511.14051) Full Text: DOI
Ben Taleb, Elhamam Moha; Chillali, Abdelhakim; El Fadil, Lhoussain Twisted Hessian curves over the ring \(\mathbb{F}_q[e]\), \(e^2=e\). (English) Zbl 07801904 Bol. Soc. Parana. Mat. (3) 40, Paper No. 116, 6 p. (2022). MSC: 11T71 14G50 94A60 PDFBibTeX XMLCite \textit{E. M. Ben Taleb} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 116, 6 p. (2022; Zbl 07801904) Full Text: DOI
Wroński, Michał; Kijko, Tomasz; Dryło, Robert High-degree compression functions on alternative models of elliptic curves and their applications. (English) Zbl 1522.11130 Fundam. Inform. 184, No. 2, 107-139 (2021). MSC: 11T71 11G05 14G50 68W30 94A60 PDFBibTeX XMLCite \textit{M. Wroński} et al., Fundam. Inform. 184, No. 2, 107--139 (2021; Zbl 1522.11130) Full Text: DOI arXiv
Perez Broon, Fouazou Lontouo; Dang, Thinh; Fouotsa, Emmanuel; Moody, Dustin Isogenies on twisted Hessian curves. (English) Zbl 1467.14076 J. Math. Cryptol. 15, 345-358 (2021). MSC: 14H52 14K02 94A60 14G50 PDFBibTeX XMLCite \textit{F. L. Perez Broon} et al., J. Math. Cryptol. 15, 345--358 (2021; Zbl 1467.14076) Full Text: DOI
Joye, Marc Protecting ECC against fault attacks: the ring extension method revisited. (English) Zbl 1461.14032 J. Math. Cryptol. 14, 254-267 (2020). Reviewer: Guillermo Morales Luna (Ciudad de México) MSC: 14G50 14H52 94A60 68M15 PDFBibTeX XMLCite \textit{M. Joye}, J. Math. Cryptol. 14, 254--267 (2020; Zbl 1461.14032) Full Text: DOI
da Silva, João Paulo; López, Julio; Dahab, Ricardo Isogeny formulas for Jacobi intersection and twisted Hessian curves. (English) Zbl 1459.94105 Adv. Math. Commun. 14, No. 3, 507-523 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 14K02 14H52 14G20 81P94 11G05 11G20 PDFBibTeX XMLCite \textit{J. P. da Silva} et al., Adv. Math. Commun. 14, No. 3, 507--523 (2020; Zbl 1459.94105) Full Text: DOI
Ergün, Serap; Kırlar, Bariş Bülent; Alparslan Gök, Sırma Zeynep; Weber, Gerhard-Wilhelm An application of crypto cloud computing in social networks by cooperative game theory. (English) Zbl 1449.91077 J. Ind. Manag. Optim. 16, No. 4, 1927-1941 (2020). MSC: 91D30 68M11 68P25 94A60 91A12 91A80 PDFBibTeX XMLCite \textit{S. Ergün} et al., J. Ind. Manag. Optim. 16, No. 4, 1927--1941 (2020; Zbl 1449.91077) Full Text: DOI
Balady, Steve; Washington, Lawrence C. A family of cyclic quartic fields with explicit fundamental units. (English) Zbl 1442.11141 Acta Arith. 187, No. 1, 43-57 (2019). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{S. Balady} and \textit{L. C. Washington}, Acta Arith. 187, No. 1, 43--57 (2019; Zbl 1442.11141) Full Text: DOI arXiv
Fouotsa, Emmanuel Parallelizing pairings on Hessian elliptic curves. (English) Zbl 1405.14080 Arab J. Math. Sci. 25, No. 1, 29-42 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14H52 14G15 14G50 PDFBibTeX XMLCite \textit{E. Fouotsa}, Arab J. Math. Sci. 25, No. 1, 29--42 (2019; Zbl 1405.14080) Full Text: DOI
Chauvet, Jean-Marie; Mahé, Eric Cryptography from the tropical Hessian pencil. (English) Zbl 1362.14027 Groups Complex. Cryptol. 9, No. 1, 19-29 (2017). MSC: 14G50 14H40 14H52 14K25 37E05 37F10 PDFBibTeX XMLCite \textit{J.-M. Chauvet} and \textit{E. Mahé}, Groups Complex. Cryptol. 9, No. 1, 19--29 (2017; Zbl 1362.14027) Full Text: DOI
Rezaeian Farashahi, Reza; Hosseini, Seyed Gholamhossein Differential addition on binary elliptic curves. (English) Zbl 1409.11139 Duquesne, Sylvain (ed.) et al., Arithmetic of finite fields. 6th international workshop, WAIFI 2016, Ghent, Belgium, July 13–15, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10064, 21-35 (2016). MSC: 11Y16 11G20 PDFBibTeX XMLCite \textit{R. Rezaeian Farashahi} and \textit{S. G. Hosseini}, Lect. Notes Comput. Sci. 10064, 21--35 (2016; Zbl 1409.11139) Full Text: DOI
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Kohel, David; Lange, Tanja Twisted Hessian curves. (English) Zbl 1370.94487 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, 269-294 (2015). MSC: 94A60 14G50 PDFBibTeX XMLCite \textit{D. J. Bernstein} et al., Lect. Notes Comput. Sci. 9230, 269--294 (2015; Zbl 1370.94487) Full Text: DOI
Dygin, D. M.; Grebnev, S. V. Efficient implementation of the GOST R 34.10 digital signature scheme using modern approaches to elliptic curve scalar multiplication. (English) Zbl 1475.94177 Mat. Vopr. Kriptografii 4, No. 2, 47-57 (2013). MSC: 94A62 94A60 11G07 PDFBibTeX XMLCite \textit{D. M. Dygin} and \textit{S. V. Grebnev}, Mat. Vopr. Kriptografii 4, No. 2, 47--57 (2013; Zbl 1475.94177) Full Text: DOI MNR
Vasilenko, O. N. Point multiplication on elliptic curves over finite fields using many-base number systems and new types of coordinates. (Russian. English summary) Zbl 1472.11196 Mat. Vopr. Kriptografii 2, No. 1, 5-28 (2011). MSC: 11G20 PDFBibTeX XMLCite \textit{O. N. Vasilenko}, Mat. Vopr. Kriptografii 2, No. 1, 5--28 (2011; Zbl 1472.11196) Full Text: DOI MNR
Farashahi, Reza Rezaeian Hashing into Hessian curves. (English) Zbl 1280.94050 Nitaj, Abderrahmane (ed.) et al., Progress in cryptology – AFRICACRYPT 2011. 4th international conference on cryptology in Africa, Dakar, Senegal, July 5–7, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21968-9/pbk). Lecture Notes in Computer Science 6737, 278-289 (2011). MSC: 94A60 14G50 68P30 PDFBibTeX XMLCite \textit{R. R. Farashahi}, Lect. Notes Comput. Sci. 6737, 278--289 (2011; Zbl 1280.94050) Full Text: DOI
Castryck, Wouter; Vercauteren, Frederik Toric forms of elliptic curves and their arithmetic. (English) Zbl 1228.14024 J. Symb. Comput. 46, No. 8, 943-966 (2011). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14G50 14H52 14Q05 11G20 PDFBibTeX XMLCite \textit{W. Castryck} and \textit{F. Vercauteren}, J. Symb. Comput. 46, No. 8, 943--966 (2011; Zbl 1228.14024) Full Text: DOI
Kohel, David Addition law structure of elliptic curves. (English) Zbl 1233.14023 J. Number Theory 131, No. 5, 894-919 (2011). Reviewer: Filip Najman (Zagreb) MSC: 14H52 11G05 PDFBibTeX XMLCite \textit{D. Kohel}, J. Number Theory 131, No. 5, 894--919 (2011; Zbl 1233.14023) Full Text: DOI arXiv
Barbosa, M.; Moss, A.; Page, D. Constructive and destructive use of compilers in elliptic curve cryptography. (English) Zbl 1159.94357 J. Cryptology 22, No. 2, 259-281 (2009). MSC: 94A60 94A62 PDFBibTeX XMLCite \textit{M. Barbosa} et al., J. Cryptology 22, No. 2, 259--281 (2009; Zbl 1159.94357) Full Text: DOI Link
Hisil, Huseyin; Wong, Kenneth Koon-Ho; Carter, Gary; Dawson, Ed Twisted Edwards curves revisited. (English) Zbl 1206.94074 Pieprzyk, Josef (ed.), Advances in cryptology – ASIACRYPT 2008. 14th international conference on the theory and application of cryptology and information security, Melbourne, Australia, December 7–11, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-89254-0/pbk). Lecture Notes in Computer Science 5350, 326-343 (2008). MSC: 94A60 PDFBibTeX XMLCite \textit{H. Hisil} et al., Lect. Notes Comput. Sci. 5350, 326--343 (2008; Zbl 1206.94074) Full Text: DOI
Duquesne, Sylvain Improving the arithmetic of elliptic curves in the Jacobi model. (English) Zbl 1183.94031 Inf. Process. Lett. 104, No. 3, 101-105 (2007). MSC: 94A60 14G50 PDFBibTeX XMLCite \textit{S. Duquesne}, Inf. Process. Lett. 104, No. 3, 101--105 (2007; Zbl 1183.94031) Full Text: DOI
Bernstein, Daniel J.; Lange, Tanja Faster addition and doubling on elliptic curves. (English) Zbl 1153.11342 Kurosawa, Kaoru (ed.), Advances in cryptology – ASIACRYPT 2007. 13th international conference on the theory and application of cryptology and information security, Kuching, Malaysia, December 2-6, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-76899-9/pbk). Lecture Notes in Computer Science 4833, 29-50 (2007). MSC: 11G05 14H52 14G50 94A60 PDFBibTeX XMLCite \textit{D. J. Bernstein} and \textit{T. Lange}, Lect. Notes Comput. Sci. 4833, 29--50 (2007; Zbl 1153.11342) Full Text: DOI
Akishita, Toru; Takagi, Tsuyoshi Power analysis to ECC using differential power between multiplication and squaring. (English) Zbl 1333.94028 Domingo-Ferrer, Josep (ed.) et al., Smart card research and advanced applications. 7th IFIP WG 8.8/11.2 international conference, CARDIS 2006, Tarragona, Spain, April 19–21, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-33311-1/pbk; 978-3-540-33312-8/ebook). Lecture Notes in Computer Science 3928, 151-164 (2006). MSC: 94A60 14G50 68M07 PDFBibTeX XMLCite \textit{T. Akishita} and \textit{T. Takagi}, Lect. Notes Comput. Sci. 3928, 151--164 (2006; Zbl 1333.94028) Full Text: DOI
Liu, Shuanggen; Hu, Yupu; Xu, Wensheng An efficient method against side-channel attacks on ECC. (English) Zbl 1156.94365 Wuhan Univ. J. Nat. Sci. 11, No. 6, 1573-1576 (2006). MSC: 94A60 PDFBibTeX XMLCite \textit{S. Liu} et al., Wuhan Univ. J. Nat. Sci. 11, No. 6, 1573--1576 (2006; Zbl 1156.94365) Full Text: DOI
Gustavsen, Trond Stølen; Ranestad, Kristian A simple point counting algorithm for Hessian elliptic curves in characteristic three. (English) Zbl 1099.14011 Appl. Algebra Eng. Commun. Comput. 17, No. 2, 141-150 (2006). MSC: 14G50 94A60 PDFBibTeX XMLCite \textit{T. S. Gustavsen} and \textit{K. Ranestad}, Appl. Algebra Eng. Commun. Comput. 17, No. 2, 141--150 (2006; Zbl 1099.14011) Full Text: DOI