English

Right Circulant Matrices with Generalized Fibonacci and\ Lucas Polynomials and Coding Theory

Combinatorics 2018-01-08 v1 Number Theory

Abstract

In this paper, we give two new coding algorithms by means of right circulant matrices with elements generalized Fibonacci and Lucas polynomials. For this purpose, we study basic properties of right circulant matrices using generalized Fibonacci polynomials Fp,q,n(x)F_{p,q,n}\left( x\right) , generalized Lucas polynomials Lp,q,n(x)L_{p,q,n}\left( x\right) and geometric sequences.

Keywords

Cite

@article{arxiv.1801.01766,
  title  = {Right Circulant Matrices with Generalized Fibonacci and\ Lucas Polynomials and Coding Theory},
  author = {Sümeyra Uçar and Nihal Yilmaz Özgür},
  journal= {arXiv preprint arXiv:1801.01766},
  year   = {2018}
}

Comments

17 pages

R2 v1 2026-06-22T23:37:27.006Z