Supersingular Twisted Edwards Curves over Prime Fields. II. Supersingular Twisted Edwards Curves with the j-Invariant Equal to 663

Theorems on the conditions for the existence of supersingular Edwards curves over a prime field with the j -invariant equal to 66 3 and with other values of j -invariants are formulated and proved. A generalization of the results obtained earlier is presented, which uses isomorphisms of curves in Le...

Full description

Saved in:
Bibliographic Details
Published in:Cybernetics and systems analysis 2019, Vol.55 (5), p.731-741
Main Authors: Bessalov, A. V., Kovalchuk, L. V.
Format: Article
Language:English
Subjects:
Artificial Intelligence
Control
Existence theorems
Invariants
Isomorphism
Mathematics
Mathematics and Statistics
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Theorems on the conditions for the existence of supersingular Edwards curves over a prime field with the j -invariant equal to 66 3 and with other values of j -invariants are formulated and proved. A generalization of the results obtained earlier is presented, which uses isomorphisms of curves in Legendre and Edwards forms.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-019-00183-y