Information on Result #1217189
Digital (28, 35, 19766)-net over F9, using (u, u+v)-construction based on
- digital (1, 4, 82)-net over F9, using
- net defined by OOA [i] based on linear OOA(94, 82, F9, 3, 3) (dual of [(82, 3), 242, 4]-NRT-code), using
- digital (24, 31, 19684)-net over F9, using
- net defined by OOA [i] based on linear OOA(931, 19684, F9, 7, 7) (dual of [(19684, 7), 137757, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(931, 59053, F9, 7) (dual of [59053, 59022, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(926, 59049, F9, 6) (dual of [59049, 59023, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(931, 59053, F9, 7) (dual of [59053, 59022, 8]-code), using
- net defined by OOA [i] based on linear OOA(931, 19684, F9, 7, 7) (dual of [(19684, 7), 137757, 8]-NRT-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 (127, 141, 2416508)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (134, 149, 2416508)-net over F9 | [i] | ||