m Extension of Lucas p-Numbers in Information Theory

Abstract

In this paper, we introduced a new Lucas Q_p,m matrix for m-extension of Lucas p-numbers where p(> 0) is integer and m(> 0). Thereby, we discuss various properties of Q_p,m matrix, coding and decoding theory followed from the Q_p,m matrix.

Key words and phrases. Lucas p-numbers, Lucas numbers, Golden mean, Code matrix.

2000 Mathematics Subject Classification. 11B39, 94B35, 94B25, 11T71