Information on Result #1191166
Digital (28, 36, 8193)-net over F8, using net defined by OOA based on linear OOA(836, 8193, F8, 8, 8) (dual of [(8193, 8), 65508, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(836, 32772, F8, 8) (dual of [32772, 32736, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(836, 32773, F8, 8) (dual of [32773, 32737, 9]-code), using
- 1 times truncation [i] based on linear OA(837, 32774, F8, 9) (dual of [32774, 32737, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(837, 32774, F8, 9) (dual of [32774, 32737, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(836, 32773, F8, 8) (dual of [32773, 32737, 9]-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 (142, 158, 2105343)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (149, 166, 2105343)-net over F8 | [i] | ||