Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices
Billore, V., Patel, N. (2023). Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices. EKB Journal Management System, 11(2), 1-12. doi: 10.21608/ejmaa.2023.295792
Vaishali Billore; Naresh Patel. "Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices". EKB Journal Management System, 11, 2, 2023, 1-12. doi: 10.21608/ejmaa.2023.295792
Billore, V., Patel, N. (2023). 'Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices', EKB Journal Management System, 11(2), pp. 1-12. doi: 10.21608/ejmaa.2023.295792
Billore, V., Patel, N. Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices. EKB Journal Management System, 2023; 11(2): 1-12. doi: 10.21608/ejmaa.2023.295792

Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices

Electronic Journal of Mathematical Analysis and Applications
Volume 11, Issue 2, July 2023, Page 1-12  XML PDF (538.97 K)
Document Type: Regular research papers
DOI: 10.21608/ejmaa.2023.295792
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Authors
Vaishali Billore email 1; Naresh Patel2
1ward no.2 indira colony A.B. Road sendhwa
2Govt. Holkar Science College, Indore
Abstract
We are aware that a major cryptosystem element plays a crucial part in maintaining
the security and robustness of cryptography. Various researchers are focusing on creating
new forms of cryptography and improving those that already exist using the principles of
number theory and linear algebra. In this article, we have proposed a Extended generalized
Fibonacci matrix (recursive matrix of higher order) having relation with Extended generalized
Fibonacci sequences and established some properties in addition to that usual matrix algebra.
Further, we proposed a modified public key cryptography using these matrices as keys in
Affine-Hill Cipher and key agreement for encryption-decryption with the combination of
terms of Extended generalized Fibonacci sequences under prime modulo. This system has
a large key space and reduce the time complexity as well as space complexity of the key
transmission by only requiring the exchange of pair of numbers(parameters) as opposed to
the entire key matrix
Keywords
Affine Hill Cipher; Cryptography; Fibonacci Sequence & Matrix; Extended generalized Fibonacci Sequence & Matrix
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