Information on Result #1191768
Digital (51, 65, 4684)-net over F8, using net defined by OOA based on linear OOA(865, 4684, F8, 14, 14) (dual of [(4684, 14), 65511, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(865, 32788, F8, 14) (dual of [32788, 32723, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(865, 32792, F8, 14) (dual of [32792, 32727, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(841, 32768, F8, 10) (dual of [32768, 32727, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(865, 32792, F8, 14) (dual of [32792, 32727, 15]-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 (52, 66, 4684)-net over F8 | [i] | Net Duplication | |