Fast FPGA Implementation of Diffie-Hellman on the Kummer Surface of - - PowerPoint PPT Presentation

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Fast FPGA Implementation of Diffie-Hellman on the Kummer Surface of - - PowerPoint PPT Presentation

Aug 20, 2022 144 likes •319 views

Fast FPGA Implementation of Diffie-Hellman on the Kummer Surface of a Genus-2 Curve Philipp Koppermann, Fabrizio De Santis, Johann Heyszl and Georg Sigl History of High-Speed Curve Cryptography over Prime Fields 1 Point Addition on a

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Fast FPGA Implementation of Diffie-Hellman on the Kummer Surface of a Genus-2 Curve

Philipp Koppermann, Fabrizio De Santis, Johann Heyszl and Georg Sigl

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History of High-Speed Curve Cryptography over Prime Fields

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Point Addition on a Hyperelliptic Genus-2 Curve

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Point Addition on a Hyperelliptic Genus-2 Curve

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Kummer: Smaller Field But More Operations

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Structure of the Kummer-Based Scalar Multiplication

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Architecture of the Single-Core Implementation

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Techniques for Designing the Modular Multiplier

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Modular Multiplication using Mersenne Primes Mp = 2p − 1

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Regroup the Digit-Products on a Bit-Level

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Scheduling the Field Operations for a Scalar Multiplication

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Scheduling the Field Operations for a Scalar Multiplication

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Single-Core: Performance and Area Results

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Multi-Core: Performance and Area Results

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Three Take Home Messages

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Contact Information

Philipp Koppermann Hardware Security Fraunhofer Institute for Applied and Integrated Security (AISEC) Phone: +49 89 3229986-138 E-Mail: philipp.koppermann@aisec.fraunhofer.de

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