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Found 41 Documents (Results 1–41)

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Galbraith, Steven D.; Granger, Robert; Merz, Simon-Philipp; Petit, Christophe

On index calculus algorithms for subfield curves. (English) Zbl 1485.94086

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, 115-138 (2021).
MSC:  94A60 11G07 14G50
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Hashizume, Naoki; Momose, Fumiyuki; Chao, Jinhui

On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic. (English) Zbl 1388.14078

Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1991-2/hbk; 978-1-4704-4385-6/ebook). Contemporary Mathematics 701, 125-150 (2018).
Reviewer: Juan Tena Ayuso (Valladolid)
MSC:  14G50 11T71 11G25 94A60
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Saito, Takeshi

An overview of the mathematical work of Fumiyuki Momose. (English) Zbl 1386.11001

Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1991-2/hbk; 978-1-4704-4385-6/ebook). Contemporary Mathematics 701, 1-8 (2018).
MSC:  11-03 14-03 01A70 01A60 01A65
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Vitse, Vanessa

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).
Reviewer: Juan Tena Ayuso (Valladolid)
MSC:  11T71 14H25 14H40 94A60
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Vitse, Vanessa; Wallet, Alexandre

Improved sieving on algebraic curves. (English) Zbl 1370.94548

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, 295-307 (2015).
MSC:  94A60 11T71 14G50
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Satoh, Takakazu

Generating genus two hyperelliptic curves over large characteristic finite fields. (English) Zbl 1239.94065

Joux, Antoine (ed.), Advances in cryptology – EUROCRYPT 2009. 28th annual international conference on the theory and applications of cryptographic techniques, Cologne, Germany, April 26–30, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-01000-2/pbk). Lecture Notes in Computer Science 5479, 536-553 (2009).
MSC:  94A60 14G50 68W20
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Fan, Xinxin; Gong, Guang; Jao, David

Speeding up pairing computations on genus 2 hyperelliptic curves with efficiently computable automorphisms. (English) Zbl 1186.94438

Galbraith, Steven D. (ed.) et al., Pairing-based cryptography – Pairing 2008. Second international conference, Egham, UK, September 1–3, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85503-3/pbk). Lecture Notes in Computer Science 5209, 243-264 (2008).
MSC:  94A60 11T71 11Y16
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