Information on Result #693433
Linear OA(2570, 15628, F25, 24) (dual of [15628, 15558, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2567, 15625, F25, 23) (dual of [15625, 15558, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-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(2585, 15680, F25, 24) (dual of [15680, 15595, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2586, 15694, F25, 24) (dual of [15694, 15608, 25]-code) | [i] | ||
| 3 | Linear OA(2587, 15696, F25, 24) (dual of [15696, 15609, 25]-code) | [i] | ||
| 4 | Linear OA(2588, 15698, F25, 24) (dual of [15698, 15610, 25]-code) | [i] | ||
| 5 | Linear OA(2589, 15700, F25, 24) (dual of [15700, 15611, 25]-code) | [i] | ||
| 6 | Linear OA(2590, 15705, F25, 24) (dual of [15705, 15615, 25]-code) | [i] | ||
| 7 | Linear OA(2591, 15736, F25, 24) (dual of [15736, 15645, 25]-code) | [i] | ||
| 8 | Linear OA(2592, 15840, F25, 24) (dual of [15840, 15748, 25]-code) | [i] | ||
| 9 | Linear OOA(2570, 7814, F25, 2, 24) (dual of [(7814, 2), 15558, 25]-NRT-code) | [i] | OOA Folding | |