Information on Result #861874
Linear OOA(2574, 7814, F25, 2, 26) (dual of [(7814, 2), 15554, 27]-NRT-code), using OOA 2-folding based on linear OA(2574, 15628, F25, 26) (dual of [15628, 15554, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] 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]
- 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(251, 4, F25, 1) (dual of [4, 3, 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
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
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(2587, 7840, F25, 2, 26) (dual of [(7840, 2), 15593, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2588, 7841, F25, 2, 26) (dual of [(7841, 2), 15594, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2591, 7880, F25, 2, 26) (dual of [(7880, 2), 15669, 27]-NRT-code) | [i] | ||
| 4 | Digital (48, 74, 7814)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |