A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications
Hongfeng Wu
math.NT, cs.CR
Submitted: 2026-08-17
Updated: 2026-08-18
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Division polynomials for twisted Edwards curves
- Twisted $\boldsymbol{\mu}_4$-normal form for elliptic curves
- Division polynomials for arbitrary isogenies
Related papers
- Coefficient choice in Galois-ring lifts of APN permutations: sharp unit-direction spectra and one-term optimal lifts
- The twisted convolution identity and ghost r-SICs from finite quantum dilogarithms
- Smoothness of Shortest Isogenies to Frobenius Conjugates
- Supersingularity and Superspeciality Verification of Abelian Surfaces
- Optimal Reduced Representatives of Quadratic APN Permutations in Odd Dimension
- Second order Recurrences, quadratic number fields and cyclic codes