Information on Result #693448
Linear OA(2540, 15628, F25, 14) (dual of [15628, 15588, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2537, 15625, F25, 13) (dual of [15625, 15588, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(2547, 15654, F25, 14) (dual of [15654, 15607, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2548, 15657, F25, 14) (dual of [15657, 15609, 15]-code) | [i] | ||
| 3 | Linear OA(2549, 15659, F25, 14) (dual of [15659, 15610, 15]-code) | [i] | ||
| 4 | Linear OA(2550, 15680, F25, 14) (dual of [15680, 15630, 15]-code) | [i] | ||
| 5 | Linear OA(2551, 15706, F25, 14) (dual of [15706, 15655, 15]-code) | [i] | ||
| 6 | Linear OA(2552, 15709, F25, 14) (dual of [15709, 15657, 15]-code) | [i] | ||
| 7 | Linear OOA(2540, 7814, F25, 2, 14) (dual of [(7814, 2), 15588, 15]-NRT-code) | [i] | OOA Folding | |