Information on Result #1194630
Digital (94, 122, 4218)-net over F9, using net defined by OOA based on linear OOA(9122, 4218, F9, 28, 28) (dual of [(4218, 28), 117982, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(9122, 59052, F9, 28) (dual of [59052, 58930, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9122, 59055, F9, 28) (dual of [59055, 58933, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(91, 6, F9, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(9122, 59055, F9, 28) (dual of [59055, 58933, 29]-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 (95, 123, 4218)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (96, 124, 4218)-net over F9 | [i] | ||
| 3 | Digital (116, 144, 4258)-net over F9 | [i] | (u, u+v)-Construction for Nets | |