Information on Result #1193144
Digital (36, 43, 1594325)-net over F9, using net defined by OOA based on linear OOA(943, 1594325, F9, 7, 7) (dual of [(1594325, 7), 11160232, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 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
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 (39, 46, 1594335)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (40, 47, 1594407)-net over F9 | [i] | ||
| 3 | Digital (41, 48, 1594537)-net over F9 | [i] | ||
| 4 | Digital (133, 147, 2396762)-net over F9 | [i] | ||
| 5 | Digital (134, 148, 2396774)-net over F9 | [i] | ||
| 6 | Digital (135, 149, 3991067)-net over F9 | [i] | ||