Information on Result #642768
Linear OA(2518, 28, F25, 17) (dual of [28, 10, 18]-code), using construction X applied to RS(8,25) ⊂ RS(10,25) based on
- linear OA(2517, 25, F25, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,25)), using Reed–Solomon code RS(8,25) [i]
- linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using Reed–Solomon code RS(10,25) [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(5120, 140, F5, 71) (dual of [140, 20, 72]-code) | [i] | Concatenation of Two Codes | |