65 citations · 180 across the 31 of their papers we have counts for
32 papers
Cubic AGM graphs and Hessian -isogenies over finite fields of odd characteristic with
Yuji Hashimoto, Koji Nuida
Let be a finite field of odd characteristic with . We study the directed graph defined by the Borwein--Borwein cubic arithmetic--geometric mean (A…
Ordinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime Fields
Yuji Hashimoto, Koji Nuida
For any primes , -isogeny graphs of ordinary elliptic curves defined over have a typical structure called -volcanoes, and the structure…
A Simple and Elementary Proof of Zorn's Lemma
Koji Nuida
Zorn's Lemma is a well-known equivalent of the Axiom of Choice. It is usually regarded as a topic in axiomatic set theory, and its historically standard proof (from the Axiom of Ch…
Uniform Cyclic Group Factorizations of Finite Groups
Kazuki Kanai, Kengo Miyamoto, Koji Nuida +1
In this paper, we introduce a kind of decomposition of a finite group called a uniform group factorization, as a generalization of exact factorizations of a finite group. A group $…
A Note on Centralizers of Involutions in Coxeter Groups
Koji Nuida
In this note, we give a remark on the structure of centralizers of involutions in Coxeter groups.
Private Simultaneous Messages Based on Quadratic Residues
Kazumasa Shinagawa, Reo Eriguchi, Shohei Satake +1
Private Simultaneous Messages (PSM) model is a minimal model for secure multiparty computation. Feige, Kilian, and Naor (STOC 1994) and Ishai (Cryptology and Information Security S…