High-degree compression functions on alternative models of elliptic curves and their applications. (arXiv:2111.04533v2 [cs.CR] UPDATED)

This paper presents method for obtaining high-degree compression functions
using natural symmetries in a given model of an elliptic curve. Such symmetries
may be found using symmetry of involution $[-1]$ and symmetry of translation
morphism $\tau_T=P+T$, where $T$ is the $n$-torsion point which naturally
belongs to the $E(\mathbb K)$ for a given elliptic curve model. We will study
alternative models of elliptic curves with points of order $2$ and $4$, and
specifically Huff's curves and the Hessian family of elliptic …

compression functions