Information on Result #1192784
Digital (94, 122, 2341)-net over F8, using net defined by OOA based on linear OOA(8122, 2341, F8, 28, 28) (dual of [(2341, 28), 65426, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(8122, 32774, F8, 28) (dual of [32774, 32652, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8122, 32779, F8, 28) (dual of [32779, 32657, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 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(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(8122, 32779, F8, 28) (dual of [32779, 32657, 29]-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 (95, 123, 2341)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (96, 124, 2341)-net over F8 | [i] | ||
| 3 | Digital (97, 125, 2341)-net over F8 | [i] | ||
| 4 | Digital (113, 141, 2369)-net over F8 | [i] | (u, u+v)-Construction for Nets | |