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A Note on the Confusion Coefficient of Boolean Functions

Yu ZHOU, Jianyong HU, Xudong MIAO, Xiaoni DU

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Summary :

Low confusion coefficient values can make side-channel attacks harder for vector Boolean functions in Block cipher. In this paper, we give new results of confusion coefficient for fg, fg, fg and fg for different Boolean functions f and g, respectively. And we deduce a relationship on the sum-of-squares of the confusion coefficient between one n-variable function and two (n - 1)-variable decomposition functions. Finally, we find that the confusion coefficient of vector Boolean functions is affine invariant.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.12 pp.1525-1530
Publication Date
2023/12/01
Publicized
2023/05/24
Online ISSN
1745-1337
DOI
10.1587/transfun.2023EAP1009
Type of Manuscript
PAPER
Category
Cryptography and Information Security

Authors

Yu ZHOU
  Science and Technology on Communication Security Laboratory
Jianyong HU
  Science and Technology on Communication Security Laboratory
Xudong MIAO
  Science and Technology on Communication Security Laboratory
Xiaoni DU
  Northwest Normal University

Keyword