Information on Result #662672
Linear OA(521, 30, F5, 14) (dual of [30, 9, 15]-code), using generalized (u, u+v)-construction based on
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
- 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]
- linear OA(56, 6, F5, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,5)), using
- linear OA(56, 6, F5, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,5)) (see above)
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(5137, 3155, F5, 29) (dual of [3155, 3018, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(521, 15, F5, 2, 14) (dual of [(15, 2), 9, 15]-NRT-code) | [i] | OOA Folding | |