Information on Result #1185662
Digital (196, 231, 3474)-net over F3, using net defined by OOA based on linear OOA(3231, 3474, F3, 35, 35) (dual of [(3474, 35), 121359, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(3231, 59059, F3, 35) (dual of [59059, 58828, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3231, 59049, F3, 35) (dual of [59049, 58818, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 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(30, 10, F3, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
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 (197, 232, 3474)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (198, 233, 3474)-net over F3 | [i] | ||
| 3 | Digital (199, 234, 3474)-net over F3 | [i] | ||
| 4 | Digital (200, 235, 3474)-net over F3 | [i] | ||
| 5 | Digital (201, 236, 3474)-net over F3 | [i] | ||
| 6 | Digital (213, 248, 3478)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 7 | Digital (214, 249, 3481)-net over F3 | [i] | ||
| 8 | Digital (215, 250, 3482)-net over F3 | [i] | ||