Document Search Results

On the optimization of Pippenger’s bucket method with precomputation. (English) Zbl 07921206

Colbourn, Charles J. (ed.) et al., New advances in designs, codes and cryptography, Stinson66, Toronto, Canada, June 13–17, 2022. Cham: Springer. Fields Inst. Commun. 86, 327-343 (2024).

MSC: 94A60

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Li, Luying; Yu, Wei

A note on inverted twisted Edwards curve. (English) Zbl 1519.94158

Deng, Yi (ed.) et al., Information security and cryptology. 18th International conference, Inscrypt 2022, Beijing, China, December 11–13, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13837, 295-304 (2023).

MSC: 94A60 11G07 14H52

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Wang, Bei; Ouyang, Yi; Li, Songsong; Hu, Honggang

A new twofold Cornacchia-type algorithm and its applications. (English) Zbl 1514.14036

Adv. Math. Commun. 17, No. 4, 873-887 (2023).

MSC: 14H52 14G50 94A60

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Okano, Yuki; Tomida, Junichi; Nagai, Akira; Yoneyama, Kazuki; Fujioka, Atsushi; Suzuki, Koutarou

Revocable hierarchical identity-based authenticated key exchange. (English) Zbl 07628041

Park, Jong Hwan (ed.) et al., Information security and cryptology – ICISC 2021. 24th international conference, Seoul, South Korea, December 1–3, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13218, 3-27 (2022).

MSC: 68M25 68P25 94A60

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Laurian, Azebaze Guimagang; Emmanuel, Fouotsa; El Mrabet, Nadia; Aminatou, Pecha Njiahouo

Faster beta Weil pairing on BLS pairing friendly curves with odd embedding degree. (English) Zbl 07570272

Math. Comput. Sci. 16, No. 2-3, Paper No. 13, 23 p. (2022).

MSC: 11T71 11G07 68W30 14G50 14H52

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Wang, Bei; Li, Songsong; Ouyang, Yi; Hu, Honggang

Ready-made short basis for GLV+GLS on high degree twisted curves. (English) Zbl 1486.14036

AIMS Math. 7, No. 1, 306-314 (2022).

Reviewer: Dimitros Poulakis (Thessaloniki)

MSC: 14G50 94A60 11T71 14H52

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Chi-Domínguez, Jesús-Javier; Rodríguez-Henríquez, Francisco; Smith, Benjamin

Extending the GLS endomorphism to speed up GHS Weil descent using Magma. (English) Zbl 1481.14051

Finite Fields Appl. 75, Article ID 101891, 19 p. (2021).

Reviewer: Josep M. Miret Biosca (Lleida)

MSC: 14G50 94A60 14H52 11G20 11G25 14K12 14H40 16W20

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Koshelev, Dmitrii

New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0. (English) Zbl 1467.14067

Finite Fields Appl. 69, Article ID 101774, 25 p. (2021).

Reviewer: Juan Tena Ayuso (Valladolid)

MSC: 14G50 68P30 14H52 14E08 14H60

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Hutchinson, Aaron; Karabina, Koray

A new encoding algorithm for a multidimensional version of the Montgomery ladder. (English) Zbl 1504.94148

Nitaj, Abderrahmane (ed.) et al., Progress in cryptology – AFRICACRYPT 2020. 12th international conference on cryptology in Africa, Cairo, Egypt, July 20–22, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12174, 403-422 (2020).

MSC: 94A60 94A29 11Y16

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Nikolaev, M. V.

Modified Gaudry-Schost algorithm for the two-dimensional discrete logarithm problem. (English) Zbl 1470.11318

Mat. Vopr. Kriptografii 11, No. 2, 125-135 (2020).

MSC: 11Y16 11G20 94A60

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Aranha, Diego F.; Azarderakhsh, Reza; Karabina, Koray

Efficient software implementation of laddering algorithms over binary elliptic curves. (English) Zbl 1503.94022

Ali, Sk Subidh (ed.) et al., Security, privacy, and applied cryptography engineering. 7th international conference, SPACE 2017, Goa, India, December 13–17, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10662, 74-92 (2017).

MSC: 94A60 94-04

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Kiyomura, Yutaro; Inoue, Akiko; Kawahara, Yuto; Yasuda, Masaya; Takagi, Tsuyoshi; Kobayashi, Tetsutaro

Secure and efficient pairing at 256-bit security level. (English) Zbl 1521.94050

Gollmann, Dieter (ed.) et al., Applied cryptography and network security. 15th international conference, ACNS 2017, Kanazawa, Japan, July 10–12, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10355, 59-79 (2017).

MSC: 94A60

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Gorla, Elisa; Massierer, Maike

An optimal representation for the trace zero subgroup. (English) Zbl 1432.14027

Des. Codes Cryptography 83, No. 3, 519-548 (2017).

MSC: 14G50 94A60 11G25 14H52 11T71 14K15

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Smith, Benjamin

The \(\mathbb Q\)-curve construction for endomorphism-accelerated elliptic curves. (English) Zbl 1365.94460

J. Cryptology 29, No. 4, 806-832 (2016).

MSC: 94A60 14G50

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Yasuda, Takanori; Sakurai, Kouichi

A multivariate encryption scheme with Rainbow. (English) Zbl 1384.94109

Qing, Sihan (ed.) et al., Information and communications security. 17th international conference, ICICS 2015, Beijing, China, December 9–11, 2015. Revised selected papers. Cham: Springer (ISBN 978-3-319-29813-9/pbk; 978-3-319-29814-6/ebook). Lecture Notes in Computer Science 9543, 236-251 (2016).

MSC: 94A60 81P94

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Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin

Fast cryptography in genus 2. (English) Zbl 1351.94028

J. Cryptology 29, No. 1, 28-60 (2016).

MSC: 94A60 14G50

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Gorla, Elisa; Massierer, Maike

Index calculus in the trace zero variety. (English) Zbl 1333.14025

Adv. Math. Commun. 9, No. 4, 515-539 (2015).

Reviewer: Dimitros Poulakis (Thessaloniki)

MSC: 14G50 11G25 11Y40 11T71

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Barreto, Paulo S. L. M.; Costello, Craig; Misoczki, Rafael; Naehrig, Michael; Pereira, Geovandro C. C. F.; Zanon, Gustavo

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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Tang, Chunming; Xu, Maozhi; Qi, Yanfeng

Cryptography on twisted Edwards curves over local fields. (English) Zbl 1357.94075

Sci. China, Inf. Sci. 58, No. 1, Article ID 012109, 15 p. (2015).

MSC: 94A60 14G50

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Gorla, Elisa; Massierer, Maike

Point compression for the trace zero subgroup over a small degree extension field. (English) Zbl 1319.14033

Des. Codes Cryptography 75, No. 2, 335-357 (2015).

Reviewer: Guillermo Matera (Buenos Aires)

MSC: 14G50 11G25 14H52 11T71

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Li, Liangze; Wu, Hongfeng; Zhang, Fan

Pairing computation on Edwards curves with high-degree twists. (English) Zbl 1347.94042

Lin, Dongdai (ed.) et al., Information security and cryptology. 9th international conference, Inscrypt 2013, Guangzhou, China, November 27–30, 2013. Revised selected papers. Cham: Springer (ISBN 978-3-319-12086-7/pbk; 978-3-319-12087-4/ebook). Lecture Notes in Computer Science 8567, 185-200 (2014).

MSC: 94A60 14G50

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Longa, Patrick; Sica, Francesco

Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. (English) Zbl 1297.94088

J. Cryptology 27, No. 2, 248-283 (2014).

MSC: 94A60 14G50 14H45

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Wu, Hongfeng; Li, Liangze; Zhang, Fan

The pairing computation on Edwards curves. (English) Zbl 1296.94144

Math. Probl. Eng. 2013, Article ID 136767, 8 p. (2013).

MSC: 94A60 14G50 11Y16 14G20

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Feng, Jun; Wang, Xueming; Sun, Hong

Efficiently computable endomorphism for genus 3 hyperelliptic curve cryptosystems. (English) Zbl 1358.94061

Inf. Process. Lett. 113, No. 12, 405-408 (2013).

MSC: 94A60 11T71 14G50

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Granger, Robert; Moss, Andrew

Generalised Mersenne numbers revisited. (English) Zbl 1276.11201

Math. Comput. 82, No. 284, 2389-2420 (2013).

MSC: 11T71 11Y16

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Hu, Zhi; Longa, Patrick; Xu, Maozhi

Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0. (English) Zbl 1253.14027

Des. Codes Cryptography 63, No. 3, 331-343 (2012).

MSC: 14G50 94A60 11T71

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Costigan, Neil; Schwabe, Peter

Fast elliptic-curve cryptography on the cell broadband engine. (English) Zbl 1246.94025

Preneel, Bart (ed.), Progress in cryptology – AFRICACRYPT 2009. Second international conference on cryptology in Africa, Gammarth, Tunisia, June 21–25, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-02383-5/pbk). Lecture Notes in Computer Science 5580, 368-385 (2009).

MSC: 94A60 11T71

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Found 27 Documents (Results 1–27)

On the optimization of Pippenger’s bucket method with precomputation. (English) Zbl 07921206

A note on inverted twisted Edwards curve. (English) Zbl 1519.94158

A new twofold Cornacchia-type algorithm and its applications. (English) Zbl 1514.14036

Revocable hierarchical identity-based authenticated key exchange. (English) Zbl 07628041

Faster beta Weil pairing on BLS pairing friendly curves with odd embedding degree. (English) Zbl 07570272

Ready-made short basis for GLV+GLS on high degree twisted curves. (English) Zbl 1486.14036

Extending the GLS endomorphism to speed up GHS Weil descent using Magma. (English) Zbl 1481.14051

New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0. (English) Zbl 1467.14067

A new encoding algorithm for a multidimensional version of the Montgomery ladder. (English) Zbl 1504.94148

Modified Gaudry-Schost algorithm for the two-dimensional discrete logarithm problem. (English) Zbl 1470.11318

Efficient software implementation of laddering algorithms over binary elliptic curves. (English) Zbl 1503.94022

Secure and efficient pairing at 256-bit security level. (English) Zbl 1521.94050

An optimal representation for the trace zero subgroup. (English) Zbl 1432.14027

The \(\mathbb Q\)-curve construction for endomorphism-accelerated elliptic curves. (English) Zbl 1365.94460

A multivariate encryption scheme with Rainbow. (English) Zbl 1384.94109

Fast cryptography in genus 2. (English) Zbl 1351.94028

Index calculus in the trace zero variety. (English) Zbl 1333.14025

Subgroup security in pairing-based cryptography. (English) Zbl 1370.94485

Cryptography on twisted Edwards curves over local fields. (English) Zbl 1357.94075

Point compression for the trace zero subgroup over a small degree extension field. (English) Zbl 1319.14033

Pairing computation on Edwards curves with high-degree twists. (English) Zbl 1347.94042

Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. (English) Zbl 1297.94088

The pairing computation on Edwards curves. (English) Zbl 1296.94144

Efficiently computable endomorphism for genus 3 hyperelliptic curve cryptosystems. (English) Zbl 1358.94061

Generalised Mersenne numbers revisited. (English) Zbl 1276.11201

Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0. (English) Zbl 1253.14027

Fast elliptic-curve cryptography on the cell broadband engine. (English) Zbl 1246.94025

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