Information on Result #1192184
Digital (62, 81, 3641)-net over F8, using net defined by OOA based on linear OOA(881, 3641, F8, 19, 19) (dual of [(3641, 19), 69098, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(881, 32770, F8, 19) (dual of [32770, 32689, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-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 (71, 90, 3650)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (72, 91, 3655)-net over F8 | [i] | ||
| 3 | Digital (73, 92, 3658)-net over F8 | [i] | ||
| 4 | Digital (74, 93, 3665)-net over F8 | [i] | ||
| 5 | Digital (75, 94, 3666)-net over F8 | [i] | ||
| 6 | Digital (76, 95, 3669)-net over F8 | [i] | ||