2016
DOI: 10.1007/978-3-662-53018-4_21
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Efficient Algorithms for Supersingular Isogeny Diffie-Hellman

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Cited by 188 publications
(171 citation statements)
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“…This method was proposed by Jao and De Feo and later optimized by Costello et al [5,10]. The main processes for deriving 4-isogeny are illustrated in projective coordinates.…”
Section: Vélu's Formulas On Montgomery Curvesmentioning
confidence: 99%
See 3 more Smart Citations
“…This method was proposed by Jao and De Feo and later optimized by Costello et al [5,10]. The main processes for deriving 4-isogeny are illustrated in projective coordinates.…”
Section: Vélu's Formulas On Montgomery Curvesmentioning
confidence: 99%
“…The main processes for deriving 4-isogeny are illustrated in projective coordinates. For odd-degree isogenies, refer to [10]. Let , be a Montgomery curve defined in (2).…”
Section: Vélu's Formulas On Montgomery Curvesmentioning
confidence: 99%
See 2 more Smart Citations
“…Recently, cryptosystems based on supersingular elliptic curve isogenies were proposed by De Feo, Jao, and Plût [15], who gave protocols for key exchange, zeroknowledge proof of identity, and public key encryption. With small key sizes and efficient implementations [10,23], isogenies provide a promising candidate for post-quantum key establishment.…”
Section: Introductionmentioning
confidence: 99%