Information on Result #1183996
Digital (119, 133, 683288)-net over F3, using net defined by OOA based on linear OOA(3133, 683288, F3, 14, 14) (dual of [(683288, 14), 9565899, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3133, 4783016, F3, 14) (dual of [4783016, 4782883, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3133, 4783017, F3, 14) (dual of [4783017, 4782884, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(3133, 4783017, F3, 14) (dual of [4783017, 4782884, 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 (120, 134, 683288)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (176, 190, 1366576)-net over F3 | [i] | (u, u+v)-Construction for Nets | |