Information on Result #638129
Linear OA(580, 84, F5, 64) (dual of [84, 4, 65]-code), using concatenation of two codes based on
- linear OA(2512, 14, F25, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,25)), using
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- Reed–Solomon code RS(13,25) [i]
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- 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(580, 84, F5, 63) (dual of [84, 4, 64]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(580, 42, F5, 2, 64) (dual of [(42, 2), 4, 65]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(580, 28, F5, 3, 64) (dual of [(28, 3), 4, 65]-NRT-code) | [i] | ||