Information on Result #1184370
Digital (116, 133, 66431)-net over F3, using net defined by OOA based on linear OOA(3133, 66431, F3, 17, 17) (dual of [(66431, 17), 1129194, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3133, 531449, F3, 17) (dual of [531449, 531316, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3133, 531453, F3, 17) (dual of [531453, 531320, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3133, 531441, F3, 17) (dual of [531441, 531308, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3133, 531453, F3, 17) (dual of [531453, 531320, 18]-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 (117, 134, 66431)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (118, 135, 66431)-net over F3 | [i] | ||
| 3 | Digital (119, 136, 66431)-net over F3 | [i] | ||
| 4 | Digital (125, 142, 66438)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (126, 143, 66439)-net over F3 | [i] | ||