Blind signatures from the generalized <inline-formula><tex-math id="M1">$ (t,k)- $</tex-math></inline-formula>Fibonacci <inline-formula><tex-math id="M2">$ p- $</tex-math></inline-formula>sequences

In this paper, we introduce the generalized $ k- $Fibonacci sequences and corresponding matrices. We also give permanent, determinant, combinatorial, and exponential representations. Then use of sequences in blind signatures is a novel application of them in cryptography. The security is also demonstrated.

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Publication Details

Journal
Journal of Dynamics and Games
Published
2025-04-25
DOI
https://doi.org/10.3934/jdg.2025022
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Blind signatures from the generalized <inline-formula><tex-math id="M1">$ (t,k)- $</tex-math></inline-formula>Fibonacci <inline-formula><tex-math id="M2">$ p- $</tex-math></inline-formula>sequences

Thomas Aaron Gulliver, Elahe Mehraban, Evren Hınçal
Journal of Dynamics and Games
Advanced Mathematical Theories and Applications
article

Blind signatures from the generalized <inline-formula><tex-math id="M1">$ (t,k)- $</tex-math></inline-formula>Fibonacci <inline-formula><tex-math id="M2">$ p- $</tex-math></inline-formula>sequences

Thomas Aaron Gulliver, Elahe Mehraban, Evren Hınçal
article en

Abstract

In this paper, we introduce the generalized $ k- $Fibonacci sequences and corresponding matrices. We also give permanent, determinant, combinatorial, and exponential representations. Then use of sequences in blind signatures is a novel application of them in cryptography. The security is also demonstrated.

Journal of Dynamics and GamesVol. 13(0)
University of Victoria (CA), Near East University (CY)
Openalex Percentile: Top 93%
Advanced Mathematical Theories and Applications
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