Information on Result #876711
Linear OOA(8158, 265722, F81, 2, 20) (dual of [(265722, 2), 531386, 21]-NRT-code), using OOA 2-folding based on linear OA(8158, 531444, F81, 20) (dual of [531444, 531386, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(8168, 265804, F81, 2, 20) (dual of [(265804, 2), 531540, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8169, 265822, F81, 2, 20) (dual of [(265822, 2), 531575, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(8170, 265838, F81, 2, 20) (dual of [(265838, 2), 531606, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(8172, 265872, F81, 2, 20) (dual of [(265872, 2), 531672, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(8173, 265886, F81, 2, 20) (dual of [(265886, 2), 531699, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(8174, 265904, F81, 2, 20) (dual of [(265904, 2), 531734, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(8175, 265922, F81, 2, 20) (dual of [(265922, 2), 531769, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(8176, 265938, F81, 2, 20) (dual of [(265938, 2), 531800, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(8176, 265968, F81, 2, 20) (dual of [(265968, 2), 531860, 21]-NRT-code) | [i] | ||