Elliptic curve and k-Fibonacci-like sequence

Zakariae Cheddour; Abdelhakim Chillali; Ali Mouhib

Scientific African (Jul 2023)

Elliptic curve and k-Fibonacci-like sequence

Zakariae Cheddour,
Abdelhakim Chillali,
Ali Mouhib

Affiliations

Zakariae Cheddour: Corresponding author.; Department of Mathematics, LSI Laboratory, University of Sidi Mohamed Ben Abdellah-USMBA, FP Taza, 1223, Morocco
Abdelhakim Chillali: Department of Mathematics, LSI Laboratory, University of Sidi Mohamed Ben Abdellah-USMBA, FP Taza, 1223, Morocco
Ali Mouhib: Department of Mathematics, LSI Laboratory, University of Sidi Mohamed Ben Abdellah-USMBA, FP Taza, 1223, Morocco

Journal volume & issue: Vol. 20
p. e01734

Abstract

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In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.

Published in Scientific African

ISSN: 2468-2276 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science
Website: https://www.journals.elsevier.com/scientific-african

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