Autocorrelations of vectorial Boolean functions

Anne Canteaut; Lukas Kölsch; Chao Li; Chunlei Li; Kangquan Li; Longjiang Qu; Friedrich Wiemer

Paper 2021/947

Autocorrelations of vectorial Boolean functions

Anne Canteaut, Lukas Kölsch, Chao Li, Chunlei Li, Kangquan Li, Longjiang Qu, and Friedrich Wiemer

Abstract

Recently, Bar-On et al. introduced at Eurocrypt’19 a new tool, called the differential-linear connectivity table (DLCT), which allows for taking into account the dependency between the two subciphers E_0 and E_1 involved in differential-linear attacks. This paper presents a theoretical characterization of the DLCT, which corresponds to an autocorrelation table (ACT) of a vectorial Boolean function. We further provide some new theoretical results on ACTs of vectorial Boolean functions.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Minor revision. Latincrypt 2021
Keywords: Vectorial Boolean Functions Differential-Linear Connectivity Table Autocorrelation Table Absolute Indicator
Contact author(s): friedrich wiemer @ mailbox org
History: 2021-07-13: received
Short URL: https://ia.cr/2021/947
License: CC BY

BibTeX

@misc{cryptoeprint:2021/947,
      author = {Anne Canteaut and Lukas Kölsch and Chao Li and Chunlei Li and Kangquan Li and Longjiang Qu and Friedrich Wiemer},
      title = {Autocorrelations of vectorial Boolean functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/947},
      year = {2021},
      url = {https://eprint.iacr.org/2021/947}
}