Information on Result #1179572
Digital (19, 23, 2391492)-net over F9, using net defined by OOA based on linear OOA(923, 2391492, F9, 4, 4) (dual of [(2391492, 4), 9565945, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(923, 2391492, F9, 3, 4) (dual of [(2391492, 3), 7174453, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(923, 4782984, F9, 4) (dual of [4782984, 4782961, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(922, 4782969, F9, 4) (dual of [4782969, 4782947, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(98, 4782969, F9, 2) (dual of [4782969, 4782961, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 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(3) ⊂ Ce(1) [i] based on
- OA 2-folding and stacking [i] based on linear OA(923, 4782984, F9, 4) (dual of [4782984, 4782961, 5]-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 (73, 81, 6585792)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (80, 89, 6585792)-net over F9 | [i] | ||