Information on Result #610670
Linear OA(516, 18, F5, 14) (dual of [18, 2, 15]-code), using repeating each code word 3 times based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(515, 17, F5, 13) (dual of [17, 2, 14]-code) | [i] | Truncation | |
| 2 | Linear OA(514, 16, F5, 12) (dual of [16, 2, 13]-code) | [i] | ||
| 3 | Linear OA(5107, 643, F5, 29) (dual of [643, 536, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(5132, 3143, F5, 29) (dual of [3143, 3011, 30]-code) | [i] | ||
| 5 | Linear OA(5103, 643, F5, 28) (dual of [643, 540, 29]-code) | [i] | ||
| 6 | Linear OA(5127, 3143, F5, 28) (dual of [3143, 3016, 29]-code) | [i] | ||
| 7 | Linear OA(5149, 15643, F5, 28) (dual of [15643, 15494, 29]-code) | [i] | ||
| 8 | Linear OOA(516, 9, F5, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code) | [i] | OOA Folding | |