On factorization of polynomials in skew polynomial rings: Resolution of a conjecture, new results and new linear codes
Abstract
Skew cyclic codes and their generalizations are an active area of research in coding theory with many challenging and open problems. In this work, we settle a conjecture about the factorization of polynomials in a skew polynomial ring. Moreover, we prove additional results about such factorization, and present new linear codes obtained by the help of theoretical results and computer searches.
Fields of Study & Subjects
Coding theory and cryptography
Rings
Modules
and Algebras
Polynomial and algebraic computation
Publication details
- Journal / source
- Advances in Mathematics of Communications
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 26
- Issue
- 0
- Pages
- 59–77
- Publication date
- 29 July 2026