Information on Result #1184110
Digital (132, 147, 683288)-net over F3, using net defined by OOA based on linear OOA(3147, 683288, F3, 15, 15) (dual of [(683288, 15), 10249173, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3147, 4783017, F3, 15) (dual of [4783017, 4782870, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(15) ⊂ Ce(10) [i] based on
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 (133, 148, 683288)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (189, 204, 1366576)-net over F3 | [i] | (u, u+v)-Construction for Nets | |