Information on Result #1183222
Digital (70, 80, 318867)-net over F3, using net defined by OOA based on linear OOA(380, 318867, F3, 10, 10) (dual of [(318867, 10), 3188590, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(380, 1594335, F3, 10) (dual of [1594335, 1594255, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(380, 1594337, F3, 10) (dual of [1594337, 1594257, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(366, 1594323, F3, 8) (dual of [1594323, 1594257, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(380, 1594337, F3, 10) (dual of [1594337, 1594257, 11]-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 (71, 81, 318867)-net over F3 | [i] | Net Duplication | |