Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
europepmc +1 more source
On the vanishing of cohomologies of $p$-adic Galois representations associated with elliptic curves
, 2014 Let $K$ be a $p$-adic field and $E$ an elliptic curve over $K$ with potential good reduction. For some large Galois extensions $L$ of $K$ containing all $p$-power roots of unity, we show the vanishing of certain Galois cohomology groups of $L$ with ...
Dimabayao, Jerome T.
core
Towards Green Computing Oriented Security: A Lightweight Postquantum Signature for IoE. [PDF]
Sensors (Basel), 2021 Rani R +7 more
europepmc +1 more source
Iwasawa theory for elliptic curves at supersingular primes: A pair of\n main conjectures [PDF]
, 2009 Florian Sprung
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Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD conjecture
, 2019 In this paper we prove the $\pm$-main conjecture of Iwasawa theory formulated by Kobayashi for elliptic curves with supersingular reduction at an odd prime $p$ such that $a_p=0$, using a key new observation that it can be reduced to another Iwasawa ...
Wan, Xin
core
A Lightweight CP-ABE Scheme with Direct Attribute Revocation for Vehicular Ad Hoc Network. [PDF]
Entropy (Basel), 2023 Liu Y, Xu S, Yue Z.
europepmc +1 more source
The algebraic functional equation of an elliptic curve at supersingular primes [PDF]
, 2008 Byoung Du Kim
openalex +1 more source
Verifiable Delay Function and Its Blockchain-Related Application: A Survey. [PDF]
Sensors (Basel), 2022 Wu Q, Xi L, Wang S, Ji S, Wang S, Ren Y.
europepmc +1 more source
Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves [PDF]
, 2019 Guanju Xiao, Lixia Luo, Yingpu Deng
openalex +1 more source
Computing isogenies between supersingular elliptic curves over F_p
, 2013 Let p>3 be a prime and let E, E' be supersingular elliptic curves over F_p. We want to construct an isogeny phi: E --> E'. The currently fastest algorithm for finding isogenies between supersingular elliptic curves solves this problem by performing a "meet-in-the-middle" breadth-first search in the full supersingular 2-isogeny graph over F_{p^2}.
Delfs, Christina, Galbraith, Steven D.
openaire +2 more sources