Information on Result #1192742
Digital (90, 117, 2521)-net over F8, using net defined by OOA based on linear OOA(8117, 2521, F8, 27, 27) (dual of [(2521, 27), 67950, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(8117, 32774, F8, 27) (dual of [32774, 32657, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8117, 32779, F8, 27) (dual of [32779, 32662, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(26) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(8117, 32779, F8, 27) (dual of [32779, 32662, 28]-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 (91, 118, 2521)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (92, 119, 2521)-net over F8 | [i] | ||
| 3 | Digital (108, 135, 2549)-net over F8 | [i] | (u, u+v)-Construction for Nets | |