In this manuscript, we discuss the characterization of 2β……-𝔽ℂ𝔸 defined by the MVonNN in NBC and PBC. The transition rule matrix of MVonNN in NBC and PBC are obtain

1.
Akin
,
H.
,
On the directional entropy of β„€2-actions generated by additive cellular automata
,
Applied Mathematics and Computation
,
170
(
1
),
2005
,
339
–
346
.
2.
Dihidar
,
K.
and
Choudhury
,
P.P.
,
Matrix algebraic formulae concerning some special rules of two-dimensional cellular automata
,
Information Sciences
,
165
,
2004
,
91
–
101
.
3.
Irfan
Siap
,
Hasan
Akin
and
Selman
Uguz
,
Structure and reversibility of 2D hexagonal cellular automata
,
Computers and Mathematics with Applications
,
62
,
2011
,
4161
–
4169
.
4.
Khan
,
A.R.
,
Mitra
,
S.
and
Sarkar
,
P.
,
VLSI Architecture of a cellular automata machine
,
Computers Math. Applic.
33
(
5
),
1997
,
79
–
94
.
5.
Nandi
,
S.
,
Kar
,
B.K.
and
Pal
Chaudhuri, P.
,
Theory and Application of cellular automata in cryptography
,
IEEE Transaction on computers
,
43
,
1994
.
6.
Rajasekar
,
M.
and
Anbu
,
R.
,
Periodic boundary condition for von neumann CA with radius 2
,
AIP conference Proceedings
,
2177
,
020076
,
2019
,
1
–
11
.
7.
Roy
Chowdhury, D.
,
Sbbarao
,
P.
and
Pal
Chaudhuri, P.
,
Characterization of Two-Dimensional Cellular Automata Using Matrix Algebra
,
Information Sciences
,
71
,
1993
,
289
–
314
.
8.
Von Neumann
,
J.
,
The theory of self-reproducting automata
, in :
A.W.
Burks
(Ed.),
Univ. of Illinois press
,
urbana
,
1966
9.
Ying
,
Z.
,
Zhong
,
Y.
and
Pei-min
,
D.
,
On behavior of two-dimensional cellular automata with an exceptional rule
,
Information Sciences
,
179
(
5
),
2009
,
613
–
622
.
This content is only available via PDF.
You do not currently have access to this content.