Reversibility of a family of 2D cellular automata hybridized by diamond and cross rules over finite fields and an application to visual cryptography
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Old City Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article studies the behavior of two-dimensional finite cellular automata defined by two special family of rules under null boundary condition. The rule matrices of these families of two-dimensional hybrid cellular automata composed by diamond and cross rules respectively over the finite field Fp (p prime) are established. Further, explicit formulae that gives the rank of these rule matrices are provided. Hence, we are able to determine the reversibility of these cellular automata. Finally, we conclude by presenting an application of this family to pseudo random number generators applied to visual cryptography. © 2019 Old City Publishing, Inc.
Açıklama
Anahtar Kelimeler
Cryptography; Hybrid cellular automata; Rule matrix
Kaynak
Journal of Cellular Automata
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
14
Sayı
3.Nis