Information on Result #1194566
Digital (91, 117, 4543)-net over F9, using net defined by OOA based on linear OOA(9117, 4543, F9, 26, 26) (dual of [(4543, 26), 118001, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(9117, 59059, F9, 26) (dual of [59059, 58942, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(9117, 59060, F9, 26) (dual of [59060, 58943, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 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(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 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(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(9117, 59060, F9, 26) (dual of [59060, 58943, 27]-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 (92, 118, 4543)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (93, 119, 4543)-net over F9 | [i] | ||
| 3 | Digital (112, 138, 4583)-net over F9 | [i] | (u, u+v)-Construction for Nets | |