Information on Result #731352
Linear OA(946, 1062896, F9, 8) (dual of [1062896, 1062850, 9]-code), using trace code based on linear OA(8123, 531448, F81, 8) (dual of [531448, 531425, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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 OA(947, 1062897, F9, 8) (dual of [1062897, 1062850, 9]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(946, 1062896, F9, 2, 8) (dual of [(1062896, 2), 2125746, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(946, 1062896, F9, 3, 8) (dual of [(1062896, 3), 3188642, 9]-NRT-code) | [i] | ||
| 4 | Digital (38, 46, 1062896)-net over F9 | [i] | ||
| 5 | Linear OOA(946, 531448, F9, 2, 8) (dual of [(531448, 2), 1062850, 9]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(946, 354298, F9, 3, 8) (dual of [(354298, 3), 1062848, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(946, 265724, F9, 8, 8) (dual of [(265724, 8), 2125746, 9]-NRT-code) | [i] | OA Folding and Stacking | |