Information on Result #1194400
Digital (112, 134, 434816)-net over F9, using net defined by OOA based on linear OOA(9134, 434816, F9, 22, 22) (dual of [(434816, 22), 9565818, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(9134, 4782976, F9, 22) (dual of [4782976, 4782842, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(9134, 4782969, F9, 22) (dual of [4782969, 4782835, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [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 (113, 135, 434816)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (114, 136, 434816)-net over F9 | [i] | ||
| 3 | Digital (123, 145, 434826)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (124, 146, 434832)-net over F9 | [i] | ||
| 5 | Digital (125, 147, 434836)-net over F9 | [i] | ||
| 6 | Digital (126, 148, 434844)-net over F9 | [i] | ||
| 7 | Digital (127, 149, 434846)-net over F9 | [i] | ||
| 8 | Digital (128, 150, 434848)-net over F9 | [i] | ||