Information on Result #876457
Linear OOA(8140, 265722, F81, 2, 14) (dual of [(265722, 2), 531404, 15]-NRT-code), using OOA 2-folding based on linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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(8147, 265804, F81, 2, 14) (dual of [(265804, 2), 531561, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8148, 265822, F81, 2, 14) (dual of [(265822, 2), 531596, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(8149, 265838, F81, 2, 14) (dual of [(265838, 2), 531627, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(8150, 265886, F81, 2, 14) (dual of [(265886, 2), 531722, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(8151, 265904, F81, 2, 14) (dual of [(265904, 2), 531757, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(8152, 265922, F81, 2, 14) (dual of [(265922, 2), 531792, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(8152, 265968, F81, 2, 14) (dual of [(265968, 2), 531884, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(8140, 240361, F81, 3, 14) (dual of [(240361, 3), 721043, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Linear OOA(8140, 240361, F81, 4, 14) (dual of [(240361, 4), 961404, 15]-NRT-code) | [i] | ||
| 10 | Digital (26, 40, 240361)-net over F81 | [i] | ||