On Isogeny Graphs of Supersingular Elliptic Curves over Finite Fields

Gora Adj; Omran Ahmadi; Alfred Menezes

Paper 2018/132

On Isogeny Graphs of Supersingular Elliptic Curves over Finite Fields

Gora Adj, Omran Ahmadi, and Alfred Menezes

Abstract

We study the isogeny graphs of supersingular elliptic curves over finite fields, with an emphasis on the vertices corresponding to elliptic curves of $j$-invariant 0 and 1728.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Finite fields and Their Applications
DOI: 10.1016/j.ffa.2018.10.002
Keywords: Supersingular isogeny graphs
Contact author(s): gora adj @ gmail com
History: 2019-02-19: revised; 2018-02-07: received; See all versions
Short URL: https://ia.cr/2018/132
License: CC BY

BibTeX

@misc{cryptoeprint:2018/132,
      author = {Gora Adj and Omran Ahmadi and Alfred Menezes},
      title = {On Isogeny Graphs of Supersingular Elliptic Curves over Finite Fields},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/132},
      year = {2018},
      doi = {10.1016/j.ffa.2018.10.002},
      url = {https://eprint.iacr.org/2018/132}
}