Information on Result #1185624
Digital (188, 221, 3691)-net over F3, using net defined by OOA based on linear OOA(3221, 3691, F3, 33, 33) (dual of [(3691, 33), 121582, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(3221, 59057, F3, 33) (dual of [59057, 58836, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 59059, F3, 33) (dual of [59059, 58838, 34]-code), using
- 1 times truncation [i] based on linear OA(3222, 59060, F3, 34) (dual of [59060, 58838, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(33) ⊂ Ce(31) [i] based on
- 1 times truncation [i] based on linear OA(3222, 59060, F3, 34) (dual of [59060, 58838, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 59059, F3, 33) (dual of [59059, 58838, 34]-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 (189, 222, 3691)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (190, 223, 3691)-net over F3 | [i] | ||