Information on Result #1192658
Digital (106, 131, 21847)-net over F8, using net defined by OOA based on linear OOA(8131, 21847, F8, 25, 25) (dual of [(21847, 25), 546044, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8131, 262165, F8, 25) (dual of [262165, 262034, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8131, 262166, F8, 25) (dual of [262166, 262035, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(84, 22, F8, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,8)), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(8131, 262166, F8, 25) (dual of [262166, 262035, 26]-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 (107, 131, 21847)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (107, 132, 21847)-net over F8 | [i] | Net Duplication | |
| 3 | Digital (108, 133, 21847)-net over F8 | [i] | ||