Generalizations of ChiChi: Families of Low-Latency Permutations in Any Even Dimension

At Eurocrypt’25, Belkheyar et al. introduced a new non-linear layer called ChiChi or χχ. ChiChi is built based on Daemen’s χ function, but crucially gives a permutation in even dimension divisible by four.In this work, we generalize their construction in multiple ways, prove their open conjecture regarding the algebraic degree of the inverse of ChiChi, and investigate the properties of it against key recovery attacks.

Authors

Institutions

Publication Details

Journal
IACR Transactions on Symmetric Cryptology
Published
2025-09-25
DOI
https://doi.org/10.46586/tosc.v2025.i3.800-826
Primary Topic
graph theory and CDMA systems
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Generalizations of ChiChi: Families of Low-Latency Permutations in Any Even Dimension

Lukas Stennes, Enrico Piccione, Gregor Leander, Samuele Andreoli
IACR Transactions on Symmetric Cryptology
graph theory and CDMA systems
article

Generalizations of ChiChi: Families of Low-Latency Permutations in Any Even Dimension

Lukas Stennes, Enrico Piccione, Gregor Leander, Samuele Andreoli
article en

Abstract

At Eurocrypt’25, Belkheyar et al. introduced a new non-linear layer called ChiChi or χχ. ChiChi is built based on Daemen’s χ function, but crucially gives a permutation in even dimension divisible by four.In this work, we generalize their construction in multiple ways, prove their open conjecture regarding the algebraic degree of the inverse of ChiChi, and investigate the properties of it against key recovery attacks.

IACR Transactions on Symmetric CryptologyVol. 2025(3)
Hydrosolutions (Switzerland) (CH), University of Bergen (NO), Ruhr University Bochum (DE)
Deutsche Forschungsgemeinschaft, Norges Forskningsråd
Openalex Percentile: Top 74%
graph theory and CDMA systems
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Generalizations of ChiChi: Families of Low-Latency Permutations in Any Even Dimension — Lukas Stennes, Enrico Piccione, et al. · IACR Transactions on Symmetric Cryptology (2025) | TGRS Research Map | TGRS