Najmanjša teža kode presečnih premic v PG(3, q)
We characterise the minimum weight codewords of the p-ary linear code of intersecting lines in PG(3,q), q = p^h, q ≥ 19, p prime, h ≥ 1. If q is even, the minimum weight equals q³ + q² + q + 1. If q is odd, the minimum weight equals q³ + 2q² + q + 1. For q even, we also characterise the codewords of second smallest weight.
Authors
- Sam Adriaensen (ORCID: https://orcid.org/0000-0002-0925-9305)
- Robin Simoens (ORCID: https://orcid.org/0000-0001-7398-3085)
- Leo Storme
Publication Details
- Journal
- Repository of the University of Primorsk (University of Primorska)
- Published
- 2025-11-07
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00