TY - JOUR
A2 - Valverde, Jose C.
AU - Cardell, Sara D.
AU - Fúster-Sabater, Amparo
PY - 2019
DA - 2019/03/24
TI - Binomial Representation of Cryptographic Binary Sequences and Its Relation to Cellular Automata
SP - 2108014
VL - 2019
AB - The binomial sequences are binary sequences that correspond to the diagonals of the binary Sierpinski’s triangle. They have fancy properties such that all the sequences with period equal to a power of 2 can be represented as the sum of a finite set of binomial sequences. Other structural properties of these sequences (period, linear complexity, construction rules, or relations among the different binomial sequences) have been analyzed in detail. Furthermore, this work enhances the close relation between the binomial sequences and a kind of Boolean networks, known as linear cellular automata. In this sense, the binomial sequences exhibit the same behavior as that of particular Boolean networks. Consequently, the binomial sequences can be considered as primary tools for generating other more complex Boolean networks with applications in communication systems and cryptography.
SN - 1076-2787
UR - https://doi.org/10.1155/2019/2108014
DO - 10.1155/2019/2108014
JF - Complexity
PB - Hindawi
KW -
ER -