| Title: | The minimum weight of the code of intersecting lines in PG(3,q) |
|---|
| Authors: | ID Adriaensen, Sam (Author)
ID Simoens, Robin (Author)
ID Storme, Leo (Author) |
|---|
| Files: |  AMC_Adriaensen,_Simoens,_Storme_2026.pdf (423,64 KB)
MD5: A0B99A8939A85AC083C0E376F687D776
|
|---|
| Language: | English |
|---|
| Work type: | Article |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | ZUP - University of Primorska Press
|
|---|
| 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: | linear codes, finite projective spaces, Klein quadric |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 07.11.2025 |
|---|
| Publisher: | Založba Univerze na Primorskem |
|---|
| Year of publishing: | 2026 |
|---|
| Number of pages: | 17 str. |
|---|
| Numbering: | Vol. 26, no. 1, [article no.] P1.01 |
|---|
| PID: | 20.500.12556/RUP-22285  |
|---|
| UDC: | 51 |
|---|
| eISSN: | 1855-3974 |
|---|
| DOI: | 10.26493/1855-3974.3336.b06 |
|---|
| Publication date in RUP: | 21.12.2025 |
|---|
| Views: | 179 |
|---|
| Downloads: | 0 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
