activity
20202026
most citedCounting Richelot isogenies between superspecial abelian surfaces

2 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

cs.LO2026

Formal Verification of Probing Security via Conditional Independence

Satoshi Kura, Katsuyuki Takashima

Side-channel attacks are a major threat to the security of cryptosystems. Masking is a widely used countermeasure against such attacks, but proving the security of masked algorithm…

cs.IT2026

A New Approach to Code Smoothing Bounds

Tsuyoshi Miezaki, Yusaku Nishimura, Katsuyuki Takashima

Code smoothing is a phenomenon in which an error distribution makes a code statistically close to the uniform distribution over the ambient space. This closeness is measured by the…

cs.IT2025

On Lattice Isomorphism Problems for Lattices from LCD Codes over Finite Rings

Yusaku Nishimura, Katsuyuki Takashima, Tsuyoshi Miezaki

These days, post-quantum cryptography based on the lattice isomorphism problem has been proposed. Ducas-Gibbons introduced the hull attack, which solves the lattice isomorphism pro…

math.AG2021

Decomposed Richelot isogenies of Jacobian varieties of hyperelliptic curves and generalized Howe curves

Toshiyuki Katsura, Katsuyuki Takashima

We advance previous studies on decomposed Richelot isogenies (Katsura--Takashima (ANTS 2020) and Katsura (ArXiv 2021)) which are useful for analysing superspecial Richelot isogeny…

math.AG2020★ 2 cited

Counting Richelot isogenies between superspecial abelian surfaces

Toshiyuki Katsura, Katsuyuki Takashima

Castryck, Decru, and Smith used superspecial genus-2 curves and their Richelot isogeny graph for basing genus-2 isogeny cryptography, and recently, Costello and Smith devised an im…