Information on Result #638090
Linear OA(569, 75, F5, 51) (dual of [75, 6, 52]-code), using concatenation of two codes based on
- linear OA(2512, 15, F25, 12) (dual of [15, 3, 13]-code or 15-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(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(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(569, 75, F5, 50) (dual of [75, 6, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(569, 25, F5, 3, 51) (dual of [(25, 3), 6, 52]-NRT-code) | [i] | OOA Folding | |