Short k-rotation symmetric Boolean functions
JE Calderón-Gómez, LA Medina… - Discrete Applied …, 2024 - Elsevier
Rotation symmetric Boolean functions were introduced by Pieprzyk and Qu in the late
1990's. They showed that these functions are useful, among other things, in the design of …
1990's. They showed that these functions are useful, among other things, in the design of …
[HTML][HTML] Value distribution of elementary symmetric polynomials and its perturbations over finite fields
In this article we establish the asymptotic behavior of generating functions related to the
exponential sum over finite fields of elementary symmetric functions and their perturbations …
exponential sum over finite fields of elementary symmetric functions and their perturbations …
Recursions for modified Walsh transforms of some families of Boolean functions
AO Gómez-Flores, LA Medina… - Rocky Mountain Journal of …, 2022 - projecteuclid.org
We show that, under certain conditions, restricted and biased exponential sums and Walsh
transforms of symmetric and rotation symmetric Boolean functions are, as in the case of …
transforms of symmetric and rotation symmetric Boolean functions are, as in the case of …
Walsh–Hadamard transforms of generalized p-ary functions and C-finite sequences
LA Medina, LB Sepúlveda… - Discrete Applied …, 2022 - Elsevier
In this article we show that Walsh–Hadamard transformations of generalized p-ary functions
whose components are symmetric, rotation symmetric or a combination or concatenation of …
whose components are symmetric, rotation symmetric or a combination or concatenation of …
[PDF][PDF] RECURRENCES IN TERMS OF SPECIAL POLYNOMIALS FOR EXPONENTIAL SUMS OF ELEMENTARY SYMMETRIC POLYNOMIALS OVER FINITE FIELDS.
AO Gómez-Flores, LA Medina, L Pomales… - … : Electronic Journal of …, 2023 - math.colgate.edu
It is known that exponential sums of symmetric Boolean functions are linear recurrent. The
characteristic polynomial of the homogeneous linear recurrence that they satisfy can be …
characteristic polynomial of the homogeneous linear recurrence that they satisfy can be …
[PDF][PDF] Organization of fast exponentiation on galois fields for cryptographic data protection systems
AMGAJ Halil, O Markovskiy, A Stupak - Information, Computing and …, 2022 - itvisnyk.kpi.ua
ORGANIZATION OF FAST EXPONENTIATION ON GALOIS FIELDS FOR
CRYPTOGRAPHIC DATA PROTECTION SYSTEMS Page 1 UDC 004.056.5 …
CRYPTOGRAPHIC DATA PROTECTION SYSTEMS Page 1 UDC 004.056.5 …
Value Distribution of Elementary Symmetric Polynomials and Their Perturbations Over Finite Fields
CAS Rapello - 2020 - search.proquest.com
In this work we present two studies related to exponential sums and Walsh transformations
of q-ary functions. In our first study we establish the asymptotic behavior of some generating …
of q-ary functions. In our first study we establish the asymptotic behavior of some generating …
[CITATION][C] Short cycle rotation Boolean functions: generators and count
JE Calderón-Gómez, LA Medina… - 2022 Fall Eastern …, 2022 - AMS
[CITATION][C] A CHARACTERIZATION OF k-ROTATION SYMMETRIC BOOLEAN FUNCTIONS
JE CALDERÓN-GÓMEZ, LA MEDINA… - 2023
[CITATION][C] P-RECURSIVITY OF SOME FAMILIES OF BOOLEAN FUNCTIONS UNDER BIASED WALSH TRANSFORMS
AO GÓMEZ-FLORES, LA MEDINA, P STANICA - 2020