Information on Result #861873
Linear OOA(2573, 7812, F25, 2, 26) (dual of [(7812, 2), 15551, 27]-NRT-code), using OOA 2-folding based on linear OA(2573, 15624, F25, 26) (dual of [15624, 15551, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
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(2586, 7838, F25, 2, 26) (dual of [(7838, 2), 15590, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2587, 7839, F25, 2, 26) (dual of [(7839, 2), 15591, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2588, 7840, F25, 2, 26) (dual of [(7840, 2), 15592, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2589, 7864, F25, 2, 26) (dual of [(7864, 2), 15639, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2590, 7878, F25, 2, 26) (dual of [(7878, 2), 15666, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2595, 7916, F25, 2, 26) (dual of [(7916, 2), 15737, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(2596, 7938, F25, 2, 26) (dual of [(7938, 2), 15780, 27]-NRT-code) | [i] | ||
| 8 | Digital (47, 73, 7812)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |