Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matrices Article Swipe
Vaishali Billore
,
Naresh P. Patel
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21608/ejmaa.2023.295792
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21608/ejmaa.2023.295792
We are aware that a major cryptosystem element plays a crucial part in maintainingthe security and robustness of cryptography. Various researchers are focusing on creatingnew forms of cryptography and improving those that already exist using the principles ofnumber theory and linear algebra. In this article, we have proposed a Extended generalizedFibonacci matrix (recursive matrix of higher order) having relation with Extended generalizedFibonacci 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 inAffine-Hill Cipher and key agreement for encryption-decryption with the combination ofterms of Extended generalized Fibonacci sequences under prime modulo. This system hasa large key space and reduce the time complexity as well as space complexity of the keytransmission by only requiring the exchange of pair of numbers(parameters) as opposed tothe entire key matrix
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.21608/ejmaa.2023.295792
- https://ejmaa.journals.ekb.eg/article_295792_0d14b03b51d38a1c4b6fcaf1ba06514d.pdf
- OA Status
- diamond
- Cited By
- 4
- References
- 18
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4366834486
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4366834486Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.21608/ejmaa.2023.295792Digital Object Identifier
- Title
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Cryptography utilizing the Affine-Hill cipher and Extended Generalized Fibonacci matricesWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
-
2023-04-24Full publication date if available
- Authors
-
Vaishali Billore, Naresh P. PatelList of authors in order
- Landing page
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https://doi.org/10.21608/ejmaa.2023.295792Publisher landing page
- PDF URL
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https://ejmaa.journals.ekb.eg/article_295792_0d14b03b51d38a1c4b6fcaf1ba06514d.pdfDirect link to full text PDF
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://ejmaa.journals.ekb.eg/article_295792_0d14b03b51d38a1c4b6fcaf1ba06514d.pdfDirect OA link when available
- Concepts
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Fibonacci number, Cryptography, Cipher, Affine transformation, Stream cipher, Computer science, Mathematics, Arithmetic, Theoretical computer science, Discrete mathematics, Algorithm, Encryption, Pure mathematics, Computer securityTop concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 1, 2023: 2Per-year citation counts (last 5 years)
- References (count)
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18Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.complexity | 115, 120 |
| abstract_inverted_index.principles | 36 |
| abstract_inverted_index.properties | 66 |
| abstract_inverted_index.robustness | 16 |
| abstract_inverted_index.combination | 95 |
| abstract_inverted_index.creatingnew | 24 |
| abstract_inverted_index.established | 64 |
| abstract_inverted_index.generalized | 99 |
| abstract_inverted_index.researchers | 20 |
| abstract_inverted_index.cryptography | 27, 80 |
| abstract_inverted_index.cryptosystem | 6 |
| abstract_inverted_index.cryptography. | 18 |
| abstract_inverted_index.inAffine-Hill | 86 |
| abstract_inverted_index.maintainingthe | 13 |
| abstract_inverted_index.keytransmission | 123 |
| abstract_inverted_index.algebra.Further, | 73 |
| abstract_inverted_index.numbers(parameters) | 132 |
| abstract_inverted_index.generalizedFibonacci | 50, 61 |
| abstract_inverted_index.encryption-decryption | 92 |
| cited_by_percentile_year.max | 96 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.70278664 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |