Information on Result #876371
Linear OOA(8131, 265722, F81, 2, 11) (dual of [(265722, 2), 531413, 12]-NRT-code), using OOA 2-folding based on linear OA(8131, 531444, F81, 11) (dual of [531444, 531413, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(8136, 265804, F81, 2, 11) (dual of [(265804, 2), 531572, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8137, 265822, F81, 2, 11) (dual of [(265822, 2), 531607, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(8140, 269044, F81, 2, 11) (dual of [(269044, 2), 538048, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(8131, 265722, F81, 3, 11) (dual of [(265722, 3), 797135, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(8131, 265722, F81, 4, 11) (dual of [(265722, 4), 1062857, 12]-NRT-code) | [i] | ||
| 6 | Digital (20, 31, 265722)-net over F81 | [i] | ||