Information on Result #642772
Linear OA(2514, 28, F25, 13) (dual of [28, 14, 14]-code), using construction X applied to RS(12,25) ⊂ RS(14,25) based on
- linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using Reed–Solomon code RS(12,25) [i]
- linear OA(2511, 25, F25, 11) (dual of [25, 14, 12]-code or 25-arc in PG(10,25)), using Reed–Solomon code RS(14,25) [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(556, 84, F5, 27) (dual of [84, 28, 28]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(25110, 227, F25, 71) (dual of [227, 117, 72]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 3 | Linear OA(25109, 227, F25, 70) (dual of [227, 118, 71]-code) | [i] | ||
| 4 | Linear OA(25108, 227, F25, 69) (dual of [227, 119, 70]-code) | [i] | ||
| 5 | Linear OA(25107, 227, F25, 68) (dual of [227, 120, 69]-code) | [i] | ||
| 6 | Linear OA(25106, 227, F25, 67) (dual of [227, 121, 68]-code) | [i] | ||
| 7 | Linear OA(25105, 227, F25, 66) (dual of [227, 122, 67]-code) | [i] | ||
| 8 | Linear OA(25104, 227, F25, 65) (dual of [227, 123, 66]-code) | [i] | ||
| 9 | Linear OA(25103, 227, F25, 64) (dual of [227, 124, 65]-code) | [i] | ||
| 10 | Linear OA(25102, 227, F25, 63) (dual of [227, 125, 64]-code) | [i] | ||
| 11 | Linear OA(25101, 227, F25, 62) (dual of [227, 126, 63]-code) | [i] | ||
| 12 | Linear OA(25100, 227, F25, 61) (dual of [227, 127, 62]-code) | [i] | ||
| 13 | Linear OA(2599, 227, F25, 60) (dual of [227, 128, 61]-code) | [i] | ||
| 14 | Linear OA(2598, 227, F25, 59) (dual of [227, 129, 60]-code) | [i] | ||
| 15 | Linear OA(2597, 227, F25, 58) (dual of [227, 130, 59]-code) | [i] | ||
| 16 | Linear OA(2596, 227, F25, 57) (dual of [227, 131, 58]-code) | [i] | ||
| 17 | Linear OA(2595, 227, F25, 56) (dual of [227, 132, 57]-code) | [i] | ||
| 18 | Linear OA(2594, 227, F25, 55) (dual of [227, 133, 56]-code) | [i] | ||
| 19 | Linear OA(2593, 227, F25, 54) (dual of [227, 134, 55]-code) | [i] | ||
| 20 | Linear OA(2592, 227, F25, 53) (dual of [227, 135, 54]-code) | [i] | ||
| 21 | Linear OA(2591, 227, F25, 52) (dual of [227, 136, 53]-code) | [i] | ||
| 22 | Linear OA(2590, 227, F25, 51) (dual of [227, 137, 52]-code) | [i] | ||
| 23 | Linear OA(2589, 227, F25, 50) (dual of [227, 138, 51]-code) | [i] | ||
| 24 | Linear OA(2588, 227, F25, 49) (dual of [227, 139, 50]-code) | [i] | ||
| 25 | Linear OA(2587, 227, F25, 48) (dual of [227, 140, 49]-code) | [i] | ||