![](/images/graphics-bg.png)
Binomial Representation of Cryptographic Binary Sequences and Its Relation to Cellular Automata
Joint Authors
Cardell, Sara D.
Fúster-Sabater, Amparo
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Cardell, Sara D.& Fúster-Sabater, Amparo. 2019. Binomial Representation of Cryptographic Binary Sequences and Its Relation to Cellular Automata. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1131187
Modern Language Association (MLA)
Cardell, Sara D.& Fúster-Sabater, Amparo. Binomial Representation of Cryptographic Binary Sequences and Its Relation to Cellular Automata. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1131187
American Medical Association (AMA)
Cardell, Sara D.& Fúster-Sabater, Amparo. Binomial Representation of Cryptographic Binary Sequences and Its Relation to Cellular Automata. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1131187
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131187