Bodigiri Sai Gopinadh
@gmrit.edu.in
Assistant Professor and Department of Mathematics
GMR Institute of Technology
RESEARCH, TEACHING, or OTHER INTERESTS
Algebra and Number Theory, Computer Science Applications
3
Scopus Publications
1
Scholar Citations
1
Scholar h-index
Scopus Publications
- Strange Chaotic Attractors and Existence Results via Nonlinear Fractional Order Systems and Fixed Points
Sumati Kumari Panda, Velusamy Vijayakumar, Bodigiri Sai Gopinadh, and Fahd Jarad
Springer Nature Singapore - Reversible codes in the Rosenbloom-Tsfasman metric
Bodigiri Sai Gopinadh and Venkatrajam Marka
American Institute of Mathematical Sciences (AIMS)
<p>Reversible codes have a range of wide applications in cryptography, data storage, and communication systems. In this paper, we investigated reversible codes under the Rosenbloom-Tsfasman metric (RT-metric). First, some properties of reversible codes in the RT-metric were described. An essential condition for a reversible code to be a maximum distance separable code (MDS code, in short) in the RT-metric was established. A necessary condition for a binary self-dual code to be reversible was proven and the same was generalized for $ q $-ary self-dual reversible codes. Several constructions for reversible RT-metric codes were provided in terms of their generator matrices.</p> - Codes in rosenbloom-tsfasman metric: A survey
Bodigiri Sai Gopinadh and Venkatrajam Marka
IOP Publishing
AbstractThis paper gives a systematic survey of research carried out in the theory of codes equipped with Rosenbloom-Tsfasman metric. In classical coding theory setting, codes are investigated with respect to the Hamming metric which can efficiently address the communication problems arising from channels in which channel noise generates equiprobable errors. But however, not all the real world channels are of that nature, especially, when the possible errors form patterns of a specific shape. Rosenbloom and Tsfasman introduced a non-Hamming metric, called Rosenbloom-Tsfasman metric (RT-metric, in short) that can address the problem of reliable information transmission over parallel noisy channels. Martin, Stinson and Skriganov independently introduced the same metric in the context of the theory of uniform distributions. As this metric happened to be a generalization of the classical Hamming metric, it has attracted so much attention from the coding theory research community and as a result a lot of work has been done in this line of research over the past 3 decades. In this paper we would like to present the key developments in the field of codes with RT-metric.
RECENT SCHOLAR PUBLICATIONS
- Strange Chaotic Attractors and Existence Results via Nonlinear Fractional Order Systems and Fixed Points
SK Panda, V Vijayakumar, BS Gopinadh, F Jarad
Recent Developments in Fixed-Point Theory: Theoretical Foundations and Real 2024 - Revisiting Darbo’s Fixed Point Theory with Application to a Class of Fractional Integral Equations
Rahul, N Kumar Mahato, B Sai Gopinadh, SK Panda
Recent Developments in Fixed-Point Theory: Theoretical Foundations and Real 2024 - Connecting nonlinear (\varpi-F_ {{C}})-contractions and fractional operators in the modelling of novel Coronavirus 2019-nCoV/SARS-CoV-2
B Hazarika, S Panda, V Vijayakumar, B Gopinadh
ESS Open Archive eprints 573, 57396372 2024 - Reversible codes in the Rosenbloom-Tsfasman metric
BS Gopinadh, V Marka
AIMS Mathematics 9 (8), 22927-22940 2024 - Codes in Rosenbloom-Tsfasman metric: A Survey
BS Gopinadh, V Marka
Journal of Physics: Conference Series 1770 (1), 012090 2021 - GENERALISED RELATION AMONG UPPER BOUNDS IN A SPECIAL CASE BY TAYLOR’S SERIES
BSAIG NADH, NV MADDULURI
Acta Ciencia Indica 41 (No. 4,), 277 (2015) 2015 - An Inductive Attempt to Prove Mean Value Theorem for n-Real Valued Functions
KVL Narasimhacharyulu, BSG Nadh
2013
MOST CITED SCHOLAR PUBLICATIONS
- An Inductive Attempt to Prove Mean Value Theorem for n-Real Valued Functions
KVL Narasimhacharyulu, BSG Nadh
2013
Citations: 1