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Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Right power integer Fibonacci matrix size 2×2 for digital signature scheme 

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pp. 193–198Vol. 29Issue 1January 2026DOI: 10.47974/JDMSC-2324 Crossmark XML
Received:
12 Mar 2025
Published Online:
15 Jan 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2324
Pages:
193–198

Abstract

A new version of digital signature scheme (DSS) has been proposed in this work. This version has used a new concept of linear algebra which is called the integer matrix of Fibonacci numbers with size 2×2 (IFM2×2). The main point is to use the IFM2×2 with its right power (RPIFM2×2) for creating the digital signature. The verification is done of this signature using the computations of the RPIFM2×2 as well. New implemented results on the proposed DSS-RPIFM2×2 have been done using Python programming. The issue of the security has been determined based on the randomization for generating the IFM2×2 of the elements over a field Fp of prime numbers secretly. The DSS- PRIFM2×2 version is proposed to be a more secure for sending the signed messages and to avoid forging the signature of them. Thus, the proposed version of DSS- RPIFM2×2 considers as a bright point for more authenticity, integrity and non-repudiation in compare to the previous communication schemes. 

Keywords

Subject Classifications

Primary 94A60Secondary 15Bxx

References

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