Information on Result #642775
Linear OA(2511, 28, F25, 10) (dual of [28, 17, 11]-code), using construction X applied to RS(15,25) ⊂ RS(17,25) based on
- linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using Reed–Solomon code RS(15,25) [i]
- linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using Reed–Solomon code RS(17,25) [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(25110, 656, F25, 52) (dual of [656, 546, 53]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 2 | Linear OA(25110, 653, F25, 54) (dual of [653, 543, 55]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 3 | Linear OA(25108, 653, F25, 53) (dual of [653, 545, 54]-code) | [i] | ||