Information on Result #1050840
Linear OOA(8111, 265724, F81, 4, 4) (dual of [(265724, 4), 1062885, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(8111, 531448, F81, 4) (dual of [531448, 531437, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(814, 531441, F81, 2) (dual of [531441, 531437, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-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(8140, 2362874, F81, 4, 8) (dual of [(2362874, 4), 9451456, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8144, 2362874, F81, 4, 9) (dual of [(2362874, 4), 9451452, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(8181, 4460024, F81, 4, 13) (dual of [(4460024, 4), 17840015, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8177, 4460024, F81, 4, 12) (dual of [(4460024, 4), 17840019, 13]-NRT-code) | [i] | ||
| 5 | Digital (7, 11, 265724)-net over F81 | [i] | Net Defined by OOA | |