Algebra and Number Theory, Computational Mathematics, Computational Mathematics, Discrete Mathematics and Combinatorics
5
Scopus Publications
57
Scholar Citations
4
Scholar h-index
2
Scholar i10-index
Scopus Publications
A novel multiphase encryption strategy with Fibonacci numbers and matrices Triveni Domada, S. Ashok Kumar, Gudela Ashok, D. Chaya Kumari Journal of Discrete Mathematical Sciences and Cryptography, 2025 This paper proposes multiple encryption methods that secures plaintext by integrating various techniques, including the application of graph theory to trees, Fibonacci matrices, and affine transformations. The use of multiple encryption layers minimizes the risks associated with data encryption by ensuring that the compromise of a single layer does not jeopardize the overall security. This multiencryption method can be extended to public key cryptosystems. We introduce a super encryption technique that employs Laplace transformations and Fibonacci numbers. The process begins by applying the Laplace transformation to a selected function, followed by the incorporation of Fibonacci numbers to super encrypt the plaintext. Decryption is achieved by applying the inverse Laplace transform along with the corresponding Fibonacci numbers.
Super-encryption technique of graphs via matricial approach Triveni Domada, Gudela Ashok, S. Ashok Kumar, D. Chaya Kumari Journal of Discrete Mathematical Sciences and Cryptography, 2024 Graph theory is quickly becoming an important area of research due to its numerous applications in areas like cryptography, coding theory, communication networks and their security. In this paper a super-encryption method of graphs is proposed via matricial approach for maintaining confidentiality in communicating the messages with two layers of encryption by taking the first level of encryption as the incidence matrix. The message is further encrypted using Fibonacci numbers (taken in matrix form) by adding to the corresponding elements of the product of the incidence matrix of the graph and message (taken as diagonal matrix). Here the graph can be taken as private key. The matrix so formed can be treated as an adjacency matrix which in turn can be represented as a graph and will be sent to the receiver as super encrypted message. The receiver writes the adjacency matrix corresponding to the graph, then subtracts the Fibonacci matrix from adjacency matrix and then multiplies it with the inverse of incidence matrix. Finally, receiver decrypts the message using the private key shared.
A new frontier in information security: Polynomial-Fibonacci hybrid cryptography Gudela Ashok, S. Ashok Kumar, D. Chaya Kumari, K. V. M. Vara Kumar, Mathe Ramakrishna Journal of Discrete Mathematical Sciences and Cryptography, 2024 This research paper presents an innovative approach to fortify cryptographic systems by integrating Fibonacci polynomials into network security protocols. Leveraging the unique characteristics of polynomials and Fibonacci sequences, our methodology establishes public and private keys, enhancing message transmission security. Initial encryption with polynomials is followed by incorporating Fibonacci polynomials for an added layer of protection. Through this study, we demonstrate how Fibonacci techniques can enhance system security, providing advanced safeguards for network communications. By integrating polynomials and Fibonacci methods, our approach strengthens defense against potential threats, elevating overall system security. This innovative Polynomial-Fibonacci Hybrid Cryptography offers a promising avenue for enhancing data security in contemporary communication systems amidst escalating digital challenges.
A type of public cryptosystem using polynomials and pell sequences Gudela Ashok, S. Ashok Kumar, D. Chaya Kumari, Mathe Ramakrishna Journal of Discrete Mathematical Sciences and Cryptography, 2022 In this paper, a kind of Public key Cryptosystem is established using Polynomials and Pell sequences by exploiting the properties of both Polynomials and Pell sequences by converting Polynomial into Octal and Binary system. Securing the digital data and modifying it by using modern Cryptographic methods that plays a vital role in Network Security.
A secure Diffie-Hellman encryption scheme over elliptic curves using golden matrices R. Kumar Bora, S. Ashok Kumar, L. Kishore Kumar, N. Surendra Advances in Mathematics Scientific Journal, 2020 A BSTRACT . In this paper, we proposed a secured Diffie-Hellman encryption scheme over the elliptic curves based on golden matrices. This algorithm works with a bijective function defined from the points on the elliptic curve to ASCII characters. The additional private key has been generated by the matrix, obtained from golden matrices.
RECENT SCHOLAR PUBLICATIONS
A new frontier in information security : Polynomial-Fibonacci hybrid cryptography MR Gudela Ashok, S. Ashok Kumar,D. Chaya Kumari,K. V. M. Vara Kumar Journal of Discrete Mathematical Sciences and Cryptography 27 (4) , 2024 2024.0
Super-encryption technique of graphs via matricial approach DCK Triveni Domada,Gudela Ashok,S. Ashok Kumar Journal of Discrete Mathematical Sciences and Cryptography 27 (4) , 2024 2024.0 Citations: 2
Super-Encryption with Pell-Lucas Matrices and Graphs via Laplace Transformations T Domada, AK Sadasivuni, G Ashok, D Kumari Journal of Harbin Engineering University 44 (8), 975-980 , 2023 2023.0 Citations: 5
An approach of cryptosystem using polynomials and Lucas numbers G Ashok, A Kumar, C Kumari Journal of Harbin Engineering University 44 (8), 25-31 , 2023 2023.0 Citations: 7
A type of public cryptosystem using polynomials and pell sequences G Ashok, S Ashok Kumar, D Chaya Kumari, M Ramakrishna Journal of Discrete Mathematical Sciences and Cryptography 25 (7), 1951-1963 , 2022 2022.0 Citations: 12
Symmetric Encryption Technique Using Spanning Tree of a Graph C Suneetha, DS Kumar, MPR Murthy, SA Kumar JOURNAL OF OPTOELECTRONICS LASER 41 (9), 2022 , 2022 2022.0 Citations: 1
Redei rational functions as permutation functions and an algorithm to compute redei rational functions DC Kumari, SA Kumar Journal Homepage: http://www. ijesm. co. in 8 (2) , 2019 2019.0 Citations: 1
MULTIPLE ENCRYPTIONS OF VARIOUS CIPHERS CPAK A. ChandraSekhar, B.Ravi Kumar International Journal of Engineering Science Invention Research … , 2016 2016.0
MULTIPLE ENCRYPTIONS OF INDEPENDENT CIPHERS A CHANDRASEKHAR, DC KUMARI, P CH, A KUMAR IJMA 7, 2 , 2016 2016.0
Multiple Encryption of Independent Ciphers AC Sekhar, DC Kumari, C Pragathi, SA Kumar International Journal of Mathematical Archive (IJMA) 7 (2), 103-110 , 2016 2016.0 Citations: 2
IJMTT Call for Paper September-2022 A ChandraSekhar, DC Kumari, SA Kumar 2016.0
TRIPLE ENCRYPTION OF MULTIPLE KEYS FOR SYMMETRIC KEY CRYPTO SYSTEMS AK ChandraSekhar, A., Ch.Pragathi International Journal of DEVELOPMENT RESEARCH 6 (3), 7079-7089 , 2016 2016.0
Multiple Encryptions of Fibonacci Lucas transformations DCKA A. ChandraSekhar, Ch.Pragathi IOSR Journal of Mathematics 12 (2), 66-72 , 2016 2016.0 Citations: 4
Symmetric key cryptosystem for multiple encryptions A ChandraSekhar, DC Kumari, SA Kumar International Journal of Mathematics Trends and Technology-IJMTT 29 , 2016 2016.0 Citations: 16
Linearly independent spanning sets and linear transformations for Multi-level Encryption AC Sekhar, V Anusha, BR Kumar, SA Kumar Journal of Information and Optimization Sciences 36 (4), 385-392 , 2015 2015.0 Citations: 3
A new frontier in information security: Polynomial-Fibonacci hybrid cryptography A Pradesh
Super-encryption technique of graphs via matricial approach A Pradesh
A novel multiphase encryption strategy with Fibonacci numbers and matrices A Pradesh, A District, MVP Colony
Super-Encryption Method of Laplace Transformations using Fibonacci Numbers DD ChayaKumari, DSA Kumar, D Triveni Journal of Huazhong University of Science and Technology 50 (7) , 0 Citations: 2
D, Triveni. D and S. Ashok Kumar, Super encryption method of Laplace transformations using Fibonacci numbers C Kumari Journal of Hauzhong University of Science and Technology 50 (7) , 0 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Symmetric key cryptosystem for multiple encryptions A ChandraSekhar, DC Kumari, SA Kumar International Journal of Mathematics Trends and Technology-IJMTT 29 , 2016 2016.0 Citations: 16
A type of public cryptosystem using polynomials and pell sequences G Ashok, S Ashok Kumar, D Chaya Kumari, M Ramakrishna Journal of Discrete Mathematical Sciences and Cryptography 25 (7), 1951-1963 , 2022 2022.0 Citations: 12
An approach of cryptosystem using polynomials and Lucas numbers G Ashok, A Kumar, C Kumari Journal of Harbin Engineering University 44 (8), 25-31 , 2023 2023.0 Citations: 7
Super-Encryption with Pell-Lucas Matrices and Graphs via Laplace Transformations T Domada, AK Sadasivuni, G Ashok, D Kumari Journal of Harbin Engineering University 44 (8), 975-980 , 2023 2023.0 Citations: 5
Multiple Encryptions of Fibonacci Lucas transformations DCKA A. ChandraSekhar, Ch.Pragathi IOSR Journal of Mathematics 12 (2), 66-72 , 2016 2016.0 Citations: 4
Linearly independent spanning sets and linear transformations for Multi-level Encryption AC Sekhar, V Anusha, BR Kumar, SA Kumar Journal of Information and Optimization Sciences 36 (4), 385-392 , 2015 2015.0 Citations: 3
Super-encryption technique of graphs via matricial approach DCK Triveni Domada,Gudela Ashok,S. Ashok Kumar Journal of Discrete Mathematical Sciences and Cryptography 27 (4) , 2024 2024.0 Citations: 2
Multiple Encryption of Independent Ciphers AC Sekhar, DC Kumari, C Pragathi, SA Kumar International Journal of Mathematical Archive (IJMA) 7 (2), 103-110 , 2016 2016.0 Citations: 2
Super-Encryption Method of Laplace Transformations using Fibonacci Numbers DD ChayaKumari, DSA Kumar, D Triveni Journal of Huazhong University of Science and Technology 50 (7) , 0 Citations: 2
D, Triveni. D and S. Ashok Kumar, Super encryption method of Laplace transformations using Fibonacci numbers C Kumari Journal of Hauzhong University of Science and Technology 50 (7) , 0 Citations: 2
Symmetric Encryption Technique Using Spanning Tree of a Graph C Suneetha, DS Kumar, MPR Murthy, SA Kumar JOURNAL OF OPTOELECTRONICS LASER 41 (9), 2022 , 2022 2022.0 Citations: 1
Redei rational functions as permutation functions and an algorithm to compute redei rational functions DC Kumari, SA Kumar Journal Homepage: http://www. ijesm. co. in 8 (2) , 2019 2019.0 Citations: 1
A new frontier in information security : Polynomial-Fibonacci hybrid cryptography MR Gudela Ashok, S. Ashok Kumar,D. Chaya Kumari,K. V. M. Vara Kumar Journal of Discrete Mathematical Sciences and Cryptography 27 (4) , 2024 2024.0
MULTIPLE ENCRYPTIONS OF VARIOUS CIPHERS CPAK A. ChandraSekhar, B.Ravi Kumar International Journal of Engineering Science Invention Research … , 2016 2016.0
MULTIPLE ENCRYPTIONS OF INDEPENDENT CIPHERS A CHANDRASEKHAR, DC KUMARI, P CH, A KUMAR IJMA 7, 2 , 2016 2016.0
IJMTT Call for Paper September-2022 A ChandraSekhar, DC Kumari, SA Kumar 2016.0
TRIPLE ENCRYPTION OF MULTIPLE KEYS FOR SYMMETRIC KEY CRYPTO SYSTEMS AK ChandraSekhar, A., Ch.Pragathi International Journal of DEVELOPMENT RESEARCH 6 (3), 7079-7089 , 2016 2016.0
A new frontier in information security: Polynomial-Fibonacci hybrid cryptography A Pradesh
Super-encryption technique of graphs via matricial approach A Pradesh
A novel multiphase encryption strategy with Fibonacci numbers and matrices A Pradesh, A District, MVP Colony