Information on Result #1192944
Digital (114, 148, 1928)-net over F8, using net defined by OOA based on linear OOA(8148, 1928, F8, 34, 34) (dual of [(1928, 34), 65404, 35]-NRT-code), using
- OA 17-folding and stacking [i] based on linear OA(8148, 32776, F8, 34) (dual of [32776, 32628, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(8148, 32777, F8, 34) (dual of [32777, 32629, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(8148, 32777, F8, 34) (dual of [32777, 32629, 35]-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 (115, 149, 1928)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (116, 150, 1928)-net over F8 | [i] | ||