On matrix sequences represented by negative indices Pell and Pell-Lucas number with the decoding of lucas blocking error correcting codes

This paper focuses on the matrix sequences that represent negative indices Pell and Pell-Lucas number. It will specifically provide the important relationships between negative indices Pell and Pell-Lucas number and Pell and Pell-Lucas matrix sequences. The research of new error correcting codes has received a lot of attention in recent years, specifically due to its potential use in quantum-resistant cryptosystems. These matrices are then applied in cryptology and have a great opportunity to report some cases that might be a mistake between the sender and the receiver by using Lucas blocking algorithm.