| Abstrakt: |
In this paper, we present a new encryption scheme using generalization k-Fibonacci-like sequence, we code the points of an elliptic curve with the terms of a sequence of k-Fibonacci-like using of Fibonacci sequence and we call it as k-Fibonacci like sequence { V k , n } defined by the recurrence relation: V k , n + 1 = k V k , n + V k , n − 1 ; n ≥ 1 , V k , 0 = 2 m (k + 1) , V k , 1 = p k + k (k + 1) m (1) and we present some relation among k-Fibonacci like sequence, k-Fibonacci sequence and k-Lucas sequence. After that, we give application of elliptic curves in cryptography using k-Fibonacci like sequence. [ABSTRACT FROM AUTHOR] |
