Hulls of Linear Codes over Non-Unitary Rings of Four Elements
Abstract
In this paper, we explore the hull of linear codes over the non-unitary rings of order four, namely E, I and H. Initially, we determine the binary associated codes of the hull over each ring; then, we characterize the hulls in terms of these codes. Furthermore, we establish the connection between the hull of any linear code over these rings and the hull of its dual. Finally, we classify linear codes over each ring with prescribed hull sizes under permutation equivalence for short lengths.
Fields of Study & Subjects
Coding theory and cryptography
Rings
Modules
and Algebras
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Mathematics
- Volume
- 14
- Issue
- 5
- Pages
- 788–788
- Publication date
- 26 February 2026
- Language
- EN