Information on Result #1192798
Digital (117, 145, 18725)-net over F8, using net defined by OOA based on linear OOA(8145, 18725, F8, 28, 28) (dual of [(18725, 28), 524155, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(8145, 262150, F8, 28) (dual of [262150, 262005, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [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 (118, 146, 18725)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (119, 147, 18725)-net over F8 | [i] | ||
| 3 | Digital (131, 159, 18734)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (132, 160, 18739)-net over F8 | [i] | ||
| 5 | Digital (133, 161, 18742)-net over F8 | [i] | ||
| 6 | Digital (134, 162, 18749)-net over F8 | [i] | ||
| 7 | Digital (135, 163, 18750)-net over F8 | [i] | ||