Information on Result #876661
Linear OOA(8155, 265722, F81, 2, 19) (dual of [(265722, 2), 531389, 20]-NRT-code), using OOA 2-folding based on linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- 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(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(8164, 265804, F81, 2, 19) (dual of [(265804, 2), 531544, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8165, 265822, F81, 2, 19) (dual of [(265822, 2), 531579, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(8166, 265838, F81, 2, 19) (dual of [(265838, 2), 531610, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(8168, 265886, F81, 2, 19) (dual of [(265886, 2), 531704, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(8169, 265904, F81, 2, 19) (dual of [(265904, 2), 531739, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(8170, 265922, F81, 2, 19) (dual of [(265922, 2), 531774, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(8171, 265938, F81, 2, 19) (dual of [(265938, 2), 531805, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(8171, 265968, F81, 2, 19) (dual of [(265968, 2), 531865, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(8155, 178356, F81, 3, 19) (dual of [(178356, 3), 535013, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 10 | Linear OOA(8155, 178356, F81, 4, 19) (dual of [(178356, 4), 713369, 20]-NRT-code) | [i] | ||
| 11 | Digital (36, 55, 178356)-net over F81 | [i] | ||