The minimum weight of the code of intersecting lines in PG(3,q)
- Author
- Sam Adriaensen, Robin Simoens (UGent) and Leo Storme (UGent)
- Organization
- Project
- Abstract
- 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.
- Keywords
- Incidence code, Projective space, Minimum weight, Linear codes, finite projective spaces, Klein quadric
Downloads
-
publisher version.pdf
- full text (Published version)
- |
- open access
- |
- |
- 433.80 KB
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01JN3ZH65JRNT4TG663S0M7GW3
- MLA
- Adriaensen, Sam, et al. “The Minimum Weight of the Code of Intersecting Lines in PG(3,q).” ARS MATHEMATICA CONTEMPORANEA, vol. 26, no. 1, 2026, doi:10.26493/1855-3974.3336.b06.
- APA
- Adriaensen, S., Simoens, R., & Storme, L. (2026). The minimum weight of the code of intersecting lines in PG(3,q). ARS MATHEMATICA CONTEMPORANEA, 26(1). https://doi.org/10.26493/1855-3974.3336.b06
- Chicago author-date
- Adriaensen, Sam, Robin Simoens, and Leo Storme. 2026. “The Minimum Weight of the Code of Intersecting Lines in PG(3,q).” ARS MATHEMATICA CONTEMPORANEA 26 (1). https://doi.org/10.26493/1855-3974.3336.b06.
- Chicago author-date (all authors)
- Adriaensen, Sam, Robin Simoens, and Leo Storme. 2026. “The Minimum Weight of the Code of Intersecting Lines in PG(3,q).” ARS MATHEMATICA CONTEMPORANEA 26 (1). doi:10.26493/1855-3974.3336.b06.
- Vancouver
- 1.Adriaensen S, Simoens R, Storme L. The minimum weight of the code of intersecting lines in PG(3,q). ARS MATHEMATICA CONTEMPORANEA. 2026;26(1).
- IEEE
- [1]S. Adriaensen, R. Simoens, and L. Storme, “The minimum weight of the code of intersecting lines in PG(3,q),” ARS MATHEMATICA CONTEMPORANEA, vol. 26, no. 1, 2026.
@article{01JN3ZH65JRNT4TG663S0M7GW3,
abstract = {{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.}},
articleno = {{3336}},
author = {{Adriaensen, Sam and Simoens, Robin and Storme, Leo}},
issn = {{1855-3966}},
journal = {{ARS MATHEMATICA CONTEMPORANEA}},
keywords = {{Incidence code,Projective space,Minimum weight,Linear codes,finite projective spaces,Klein quadric}},
language = {{eng}},
number = {{1}},
pages = {{17}},
title = {{The minimum weight of the code of intersecting lines in PG(3,q)}},
url = {{http://doi.org/10.26493/1855-3974.3336.b06}},
volume = {{26}},
year = {{2026}},
}
- Altmetric
- View in Altmetric
- Web of Science
- Times cited: