Information on Result #1193526
Digital (39, 51, 9842)-net over F9, using net defined by OOA based on linear OOA(951, 9842, F9, 12, 12) (dual of [(9842, 12), 118053, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(951, 59052, F9, 12) (dual of [59052, 59001, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(951, 59054, F9, 12) (dual of [59054, 59003, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 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(951, 59054, F9, 12) (dual of [59054, 59003, 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 (45, 57, 9852)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (46, 58, 9858)-net over F9 | [i] | ||
| 3 | Digital (47, 59, 9862)-net over F9 | [i] | ||
| 4 | Digital (48, 60, 9870)-net over F9 | [i] | ||