Information on Result #861076
Linear OOA(2543, 7814, F25, 2, 15) (dual of [(7814, 2), 15585, 16]-NRT-code), using OOA 2-folding based on linear OA(2543, 15628, F25, 15) (dual of [15628, 15585, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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 OOA(2550, 7840, F25, 2, 15) (dual of [(7840, 2), 15630, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2551, 7841, F25, 2, 15) (dual of [(7841, 2), 15631, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(2552, 7842, F25, 2, 15) (dual of [(7842, 2), 15632, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2553, 7866, F25, 2, 15) (dual of [(7866, 2), 15679, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(2554, 7880, F25, 2, 15) (dual of [(7880, 2), 15706, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(2555, 7892, F25, 2, 15) (dual of [(7892, 2), 15729, 16]-NRT-code) | [i] | ||
| 7 | Digital (28, 43, 7814)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |