Information on Result #1192746
Digital (96, 123, 2523)-net over F8, using net defined by OOA based on linear OOA(8123, 2523, F8, 27, 27) (dual of [(2523, 27), 67998, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(8123, 32800, F8, 27) (dual of [32800, 32677, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [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(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(26) ⊂ 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 (97, 123, 2523)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (97, 124, 2523)-net over F8 | [i] | Net Duplication | |
| 3 | Digital (98, 125, 2523)-net over F8 | [i] | ||
| 4 | Digital (99, 126, 2523)-net over F8 | [i] | ||
| 5 | Digital (100, 127, 2523)-net over F8 | [i] | ||
| 6 | Digital (101, 128, 2523)-net over F8 | [i] | ||
| 7 | Digital (96, 122, 2523)-net over F8 | [i] | m-Reduction | |