journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2296 Implementation of Blom’s key scheme using the (q,m)-Lucas-Pell sequences Mehraban Elahe Mathematics Research Center, Turkish Republic of Northern Cyprus, Near East University, Nicosia, Mersin 10, 99138, Turkey Department of Mathematics, Turkish Republic of Northern Cyprus, Near East University, Nicosia, Mersin 10, 99138, Turkey Faculty of Art and Science, Turkish Republic of Northern Cyprus, University of Kyrenia, Kyrenia, Mersin 10, 99320, Turkey Gulliver T. Aaron Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, V8W 2Y2, Canada Hinçal Evren Mathematics Research Center, Turkish Republic of Northern Cyprus, Near East University, Nicosia, Mersin 10, 99138, Turkey Department of Mathematics, Turkish Republic of Northern Cyprus, Near East University, Nicosia, Mersin 10, 99138, Turkey Faculty of Art and Science, Turkish Republic of Northern Cyprus, University of Kyrenia, Kyrenia, Mersin 10, 99320, Turkey 29 1 111 126 15 01 2026

In 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.

 Lucas sequence Pell sequence Blom’s key scheme symmetric key security access open retracted no