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- W3201665246 abstract "Supersingular Isogeny Diffie-Hellman (SIDH) is a key exchange scheme that is believed tobe quantum-resistant. It is based on the difficulty of finding a certain isogeny between givenelliptic curves. Over the last nine years, optimizations have been proposed that significantlyincreased the performance of its implementations. Today, SIDH is a promising candidate inthe US National Institute for Standards and Technology’s (NIST’s) post-quantum cryptographystandardization process.This work is a self-contained introduction to the active research on SIDH from a high-level,algorithmic lens. After an introduction to elliptic curves and SIDH itself, we describe themathematical and algorithmic building blocks of the fastest known implementations.Regarding elliptic curves, we describe which algorithms, data structures and trade-offs regard-ing elliptic curve arithmetic and isogeny computations exist and quantify their runtime cost infield operations. These findings are then tailored to the situation of SIDH. As a result, we giveefficient algorithms for the performance-critical parts of the protocol." @default.
- W3201665246 created "2021-10-11" @default.
- W3201665246 creator A5077666788 @default.
- W3201665246 date "2020-01-01" @default.
- W3201665246 modified "2023-09-23" @default.
- W3201665246 title "Optimizations of Isogeny-based Key Exchange" @default.
- W3201665246 doi "https://doi.org/10.5445/ir/1000133155" @default.
- W3201665246 hasPublicationYear "2020" @default.
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