30 citations · 71 across the 19 of their papers we have counts for
21 papers
Relationship of Two Discrete Dynamical Models: One-dimensional Cellular Automata and Integral Value Transformations
Sreeya Ghosh, Sudhakar Sahoo, Sk. Sarif Hassan +2
Cellular Automaton (CA) and an Integral Value Transformation (IVT) are two well established mathematical models which evolve in discrete time steps. Theoretically, studies on CA su…
Two Dimensional Discrete Dynamics of Integral Value Transformations
Jayanta Kumar Das, Sudhakar Sahoo, Sk. Sarif Hassan +1
A notion of dimension preservative map, \textit{Integral Value Transformations} (IVTs) is defined over using the set of -adic functions. Thereafter, two dimension…
Deterministic Computing Mechanism for Perfect Density Classification
Suryakanta Pal, Sudhakar Sahoo, Birendra Kumar Nayak
The purpose of the present study is to search one-dimensional Cellular Automata (CA) rules which will solve the density classification task (DCT) perfectly. The mathematical analys…
Multi-Number CVT-XOR Arithmetic Operations in any Base System and its Significant Properties
Jayanta Kumar Das, Pabitra Pal Choudhury, Sudhakar Sahoo
Carry Value Transformation (CVT) is a model of discrete dynamical system which is one special case of Integral Value Transformations (IVTs). Earlier in [5] it has been proved that…
Carry Value Transformation (CVT) - Exclusive OR (XOR) Tree and Its Significant Properties
Jayanta Kumar Das, Pabitra Pal Choudhury, Sudhakar Sahoo
CVT and XOR are two binary operations together used to calculate the sum of two non-negative integers on using a recursive mechanism. In this present study the convergence behavior…
Classification of Boolean Functions where Affine Functions are Uniformly Distributed
Ranjeet Kumar Rout, Pabitra Pal Choudhury, Sudhakar Sahoo
Classification of Non-linear Boolean functions is a long-standing problem in the area of theoretical computer science. In this paper, effort has been made to achieve a systematic c…