Characterizing differential support of vectorial Boolean functions using the Walsh transform

2020 ◽  
Vol 63 (3) ◽  
Author(s):  
Jie Peng ◽  
Jianhua Gao ◽  
Haibin Kan
Keyword(s):  
Boolean Functions ◽  
Walsh Transform ◽  
Vectorial Boolean Functions ◽  
Differential Support

Linear codes from vectorial Boolean functions in the context of algebraic attacks

2020 ◽  
pp. 2150032
Author(s):  
M. Boumezbeur ◽  
S. Mesnager ◽  
K. Guenda
Keyword(s):  
Boolean Functions ◽  
Linear Codes ◽  
Cyclic Codes ◽  
Weight Enumerator ◽  
Direct Link ◽  
Algebraic Attacks ◽  
Vectorial Boolean Functions ◽  
Lcd Codes ◽  
Vectorial Function ◽  
The Relationship

In this paper, we study the relationship between vectorial (Boolean) functions and cyclic codes in the context of algebraic attacks. We first derive a direct link between the annihilators of a vectorial function (in univariate form) and certain [Formula: see text]-ary cyclic codes (which we show that they are LCD codes). We also present some properties of those cyclic codes as well as their weight enumerator. In addition, we generalize the so-called algebraic complement and study its properties.

scholarly journals On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion

2016 ◽  
Vol 27 (5) ◽  
pp. 359-372 ◽  
Author(s):  
Riccardo Aragona ◽  
Marco Calderini ◽  
Daniele Maccauro ◽  
Massimiliano Sala
Keyword(s):  
Boolean Functions ◽  
Differential Uniformity ◽  
Vectorial Boolean Functions

scholarly journals Matrix representations of vectorial Boolean functions and eigenanalysis

2015 ◽  
Vol 8 (4) ◽  
pp. 555-577 ◽  
Author(s):  
Brandon Dravie ◽  
Jérémy Parriaux ◽  
Philippe Guillot ◽  
Gilles Millérioux
Keyword(s):  
Boolean Functions ◽  
Matrix Representations ◽  
Vectorial Boolean Functions

ALGORITHMS FOR COMPUTING CRYPTOGRAPHIC CHARACTERISTICS OF VECTORIAL BOOLEAN FUNCTIONS

2019 ◽  
pp. 78-87
Author(s):  
N. M. Kiseleva ◽  
◽  
E. S. Lipatova ◽  
I. A. Pankratova ◽  
E. E. Trifonova ◽  
...  
Keyword(s):  
Boolean Functions ◽  
Vectorial Boolean Functions
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