Double-orientations on supersingular isogeny graphs

2025/10/17 by Do Eon Cha, Cha, Do Eon, Imin Chen +1
Computer Science · Mathematics · #11G20 #14H52 #Algebraic Geometry and Number Theory #Algebraic and Geometric Analysis #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2510.15820

openalex publication_date 2025/10/17 · openalex created_date 2025/10/21 · openalex updated_date 2026/07/28

Abstract

We recall and define various kinds of supersingular ℓ-isogeny graphs and precise graph isomorphism with a corresponding quaternion ℓ-ideal graph. In particular, we introduce the notion of double-orientations on supersingular elliptic curves and study the structure of double-oriented supersingular ℓ-isogeny graphs.

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