Information on Result #1185340
Digital (207, 233, 122645)-net over F3, using net defined by OOA based on linear OOA(3233, 122645, F3, 26, 26) (dual of [(122645, 26), 3188537, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(3233, 1594385, F3, 26) (dual of [1594385, 1594152, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, 1594386, F3, 26) (dual of [1594386, 1594153, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3233, 1594386, F3, 26) (dual of [1594386, 1594153, 27]-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 (208, 234, 122645)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (209, 235, 122645)-net over F3 | [i] | ||