On isogeny graphs of supersingular elliptic curves over finite fields
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Publication:1633305
DOI10.1016/j.ffa.2018.10.002zbMath1436.11067OpenAlexW2794445524MaRDI QIDQ1633305
Omran Ahmadi, Gora Adj, Alfred J. Menezes
Publication date: 19 December 2018
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2018.10.002
Cryptography (94A60) Elliptic curves (14H52) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Complex multiplication and moduli of abelian varieties (11G15)
Related Items (8)
New techniques for SIDH-based NIKE ⋮ Loops of isogeny graphs of supersingular elliptic curves at \(j=0\) ⋮ Adventures in Supersingularland ⋮ Automorphisms of the supersingular isogeny graph ⋮ Ramanujan Graphs in Cryptography ⋮ Neighborhood of the supersingular elliptic curve isogeny graph at \(j = 0\) and 1728 ⋮ Constructing cycles in isogeny graphs of supersingular elliptic curves ⋮ Endomorphism rings of supersingular elliptic curves over \(\mathbb{F}_p\)
Cites Work
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- Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
- Cryptographic hash functions from expander graphs
- Nonsingular plane cubic curves over finite fields
- An algorithm to compute the number of points on elliptic curves of \(j\)-invariant 0 or 1728 over a finite field
- Class invariants for quartic CM fields
- Isogeny-Based Quantum-Resistant Undeniable Signatures
- Isogeny volcanoes
- Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
- The Arithmetic of Elliptic Curves
- Ramanujan graphs and Hecke operators
- Modular polynomials via isogeny volcanoes
- Abelian varieties over finite fields
- A Post-quantum Digital Signature Scheme Based on Supersingular Isogenies
- Identification protocols and signature schemes based on supersingular isogeny problems
- Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\)
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