Information on Result #1202022
Digital (14, 21, 177150)-net over F81, using net defined by OOA based on linear OOA(8121, 177150, F81, 7, 7) (dual of [(177150, 7), 1240029, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(8121, 531451, F81, 7) (dual of [531451, 531430, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8121, 531452, F81, 7) (dual of [531452, 531431, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(8119, 531441, F81, 7) (dual of [531441, 531422, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(812, 11, F81, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(8121, 531452, F81, 7) (dual of [531452, 531431, 8]-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 (60, 74, 1375521)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (63, 78, 1375521)-net over F81 | [i] | ||