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'Isogeny-Based Post-Quantum Cryptography' by Prof. Annamaria Iezzi (Part. 2/4)
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This course was given in the framework of the CIMPA School at Pondicherry University (India) from December 11 to 21, 2023.
Abstract: Isogeny-based cryptography is a young and very active subfield of post-quantum cryptography based on the mathematical problem of constructing an isogeny, i.e. a well-behaved map, between two given elliptic curves over finite fields. Since 1997 and especially in the past 10-15 years, several schemes based on isogenies have been proposed, mostly in the context of post-quantum key exchange and post-quantum digital signatures. In this course, after reviewing the mathematical and cryptographic setting, we will describe some of the most promising isogeny-based protocols and we will discuss some open problems related to the field.
☝️ Annamaria Iezzi is professor at the Université Grenoble Alpes, France.
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Abstract: Isogeny-based cryptography is a young and very active subfield of post-quantum cryptography based on the mathematical problem of constructing an isogeny, i.e. a well-behaved map, between two given elliptic curves over finite fields. Since 1997 and especially in the past 10-15 years, several schemes based on isogenies have been proposed, mostly in the context of post-quantum key exchange and post-quantum digital signatures. In this course, after reviewing the mathematical and cryptographic setting, we will describe some of the most promising isogeny-based protocols and we will discuss some open problems related to the field.
☝️ Annamaria Iezzi is professor at the Université Grenoble Alpes, France.
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