Results 161 to 170 of about 3,064 (192)
Some of the next articles are maybe not open access.
form, 2002
Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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Summary: Let \(K\) be a field which is finitely generated over its prime field. Consider elliptic curves \(E\) and \(E'\) defined over \(K\). Suppose there exists \(c\geq 1\) and a set \(\Lambda\) of prime numbers such that \([K(E_l,E_l'): K(E_l)\cap K(E_l')]\leq c\) for all \(l\in\Lambda\).
Frey, Gerhard, Jarden, Moshe
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Leveled Isogeny Problems with Hints
We define and analyze the Leveled Isogeny Problem with Hints (LIPH), which is a generalization of the Isogeny Problem with Level Structure first introduced by De Feo, Fouotsa and Panny at EUROCRYPT’24. In a LIPH instance, we are tasked to recover a secret isogeny φ$$\varphi $$ given masked torsion point images M·(φ(P),φ(Q))⊤$$M\cdot (\varphi (P ...Subham Das +3 more
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1987
We return to p-adic representations. Let A be an elliptic curve defined over K. We take points of A in a fixed algebraic closure Ka. We have the p-adic spaces T p (A) and V p (A) over Z p and Q p respectively.
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We return to p-adic representations. Let A be an elliptic curve defined over K. We take points of A in a fixed algebraic closure Ka. We have the p-adic spaces T p (A) and V p (A) over Z p and Q p respectively.
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Schoof's algorithm and isogeny cycles
1994The heart of Schoof's algorithm for computing the cardinality m of an elliptic curve over a finite field is the computation of m modulo small primes l. Elkies and Atkin have designed practical improvements to the basic algorithm, that make use of “good” primes l. We show how to use powers of good primes in an efficient way.
Jean Marc Couveignes, François Morain
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SIKE’d Up: Fast Hardware Architectures for Supersingular Isogeny Key Encapsulation
IEEE Transactions on Circuits and Systems I: Regular Papers, 2020Brian Koziel +2 more
exaly
Optimizing the evaluation of ℓ-isogenous curve for isogeny-based cryptography
Information Processing Letters, 2022Zhi Hu
exaly
Isogeny formulas for Jacobi intersection and twisted hessian curves
Advances in Mathematics of Communications, 2020Ricardo Dahab
exaly
Isogeny-Based Cryptography: A Promising Post-Quantum Technique
IT Professional, 2019Jianhua Chen +2 more
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Mod p isogeny classes on Shimura varieties with parahoric level structure
Duke Mathematical Journal, 2020Rong Zhou
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