Implementation of Blom’s key scheme using the (q,m)-Lucas-Pell sequences
Abstract
this paper, we define new sequences using Lucas and Pell sequences. Then the (q, m)-Lucas-Pell sequence matrix is introduced and some interesting structural results are obtained. These sequences are used to implement Blom’s key scheme and the security is examined. This is the first use of such sequences to obtain cryptographic keys.
Fields of Study & Subjects
Coding theory and cryptography
Cryptography and Residue Arithmetic
Cryptography and Data Security
Publication details
- Journal / source
- Journal of Discrete Mathematical Sciences and Cryptography
- Volume
- 29
- Issue
- 1
- Pages
- 111–126
- Publication date
- 1 January 2026