Information on Result #1183990
Digital (113, 127, 683283)-net over F3, using net defined by OOA based on linear OOA(3127, 683283, F3, 14, 14) (dual of [(683283, 14), 9565835, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3127, 4782981, F3, 14) (dual of [4782981, 4782854, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3127, 4782983, F3, 14) (dual of [4782983, 4782856, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [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(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 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(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3127, 4782983, F3, 14) (dual of [4782983, 4782856, 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 (114, 128, 683283)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (115, 129, 683283)-net over F3 | [i] | ||
| 3 | Digital (116, 130, 683283)-net over F3 | [i] | ||
| 4 | Digital (121, 135, 683290)-net over F3 | [i] | (u, u+v)-Construction for Nets | |