Information on Result #1190308
Digital (69, 81, 960801)-net over F7, using net defined by OOA based on linear OOA(781, 960801, F7, 12, 12) (dual of [(960801, 12), 11529531, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(781, 5764806, F7, 12) (dual of [5764806, 5764725, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(781, 5764809, F7, 12) (dual of [5764809, 5764728, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(781, 5764809, F7, 12) (dual of [5764809, 5764728, 13]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (75, 87, 960809)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (76, 88, 960814)-net over F7 | [i] | ||