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Found 17 Documents (Results 1–17)

Fast Jacobian arithmetic for hyperelliptic curves of genus 3. (English) Zbl 1516.14061

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 425-442 (2019).
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Architecture level optimizations for Kummer based HECC on FPGAs. (English) Zbl 1429.94058

Patra, Arpita (ed.) et al., Progress in cryptology – INDOCRYPT 2017. 18th international conference on cryptology in India, Chennai, India, December 10–13, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10698, 44-64 (2017).
MSC:  94A60 14G50
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Fast bilinear maps from the Tate-Lichtenbaum pairing on hyperelliptic curves. (English) Zbl 1143.94345

Hess, Florian (ed.) et al., Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. Berlin: Springer (ISBN 3-540-36075-1/pbk). Lecture Notes in Computer Science 4076, 466-479 (2006).
MSC:  94A60 11T71 14G50
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A complete divisor class halving algorithm for hyperelliptic curve cryptosystems of genus two. (English) Zbl 1127.94347

Boyd, Colin (ed.) et al., Information security and privacy. 10th Australasian conference, ACISP 2005, Brisbane, Australia, July 4–6, 2005. Proceedings. Berlin: Springer (ISBN 3-540-26547-3/pbk). Lecture Notes in Computer Science 3574, 146-157 (2005).
MSC:  94A60 14G50
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Low cost security: explicit formulae for genus-4 hyperelliptic curves. (English) Zbl 1081.94033

Matsui, Mitsuru (ed.) et al., Selected areas in cryptography. 10th annual international workshop, SAC 2003, Ottawa, Canada, August 14–15, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21370-8/pbk). Lecture Notes in Computer Science 3006, 1-16 (2004).
MSC:  94A60 14G50
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Implementing the arithmetic of \(C_{3,4}\) curves. (English) Zbl 1148.14304

Buell, Duncan (ed.), Algorithmic number theory. 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13–18, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22156-5/pbk). Lecture Notes in Computer Science 3076, 87-101 (2004).
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