Information on Result #1184374
Digital (122, 139, 66435)-net over F3, using net defined by OOA based on linear OOA(3139, 66435, F3, 17, 17) (dual of [(66435, 17), 1129256, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3139, 531481, F3, 17) (dual of [531481, 531342, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3139, 531483, F3, 17) (dual of [531483, 531344, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [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(397, 531441, F3, 13) (dual of [531441, 531344, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3139, 531483, F3, 17) (dual of [531483, 531344, 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 (123, 140, 66435)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (124, 141, 66435)-net over F3 | [i] | ||