Information on Result #1185376
Digital (164, 191, 4546)-net over F3, using net defined by OOA based on linear OOA(3191, 4546, F3, 27, 27) (dual of [(4546, 27), 122551, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(3191, 59099, F3, 27) (dual of [59099, 58908, 28]-code), using
- 1 times truncation [i] based on linear OA(3192, 59100, F3, 28) (dual of [59100, 58908, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 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
- 1 times truncation [i] based on linear OA(3192, 59100, F3, 28) (dual of [59100, 58908, 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 (165, 192, 4546)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (166, 193, 4546)-net over F3 | [i] | ||