Information on Result #1183432
Digital (67, 78, 35431)-net over F3, using net defined by OOA based on linear OOA(378, 35431, F3, 11, 11) (dual of [(35431, 11), 389663, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(378, 177156, F3, 11) (dual of [177156, 177078, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(378, 177158, F3, 11) (dual of [177158, 177080, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 11, F3, 0) (dual of [11, 11, 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(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(378, 177158, F3, 11) (dual of [177158, 177080, 12]-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 (68, 79, 35431)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (72, 83, 35435)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (73, 84, 35438)-net over F3 | [i] | ||