Information on Result #1185482
Digital (218, 246, 113884)-net over F3, using net defined by OOA based on linear OOA(3246, 113884, F3, 28, 28) (dual of [(113884, 28), 3188506, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(3246, 1594376, F3, 28) (dual of [1594376, 1594130, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(27) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-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 (219, 247, 113884)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (220, 248, 113884)-net over F3 | [i] | ||
| 3 | Digital (221, 249, 113884)-net over F3 | [i] | ||