Information on Result #1185658
Digital (210, 244, 10421)-net over F3, using net defined by OOA based on linear OOA(3244, 10421, F3, 34, 34) (dual of [(10421, 34), 354070, 35]-NRT-code), using
- OA 17-folding and stacking [i] based on linear OA(3244, 177157, F3, 34) (dual of [177157, 176913, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3244, 177159, F3, 34) (dual of [177159, 176915, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- linear OA(3243, 177147, F3, 34) (dual of [177147, 176904, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 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
- discarding factors / shortening the dual code based on linear OA(3244, 177159, F3, 34) (dual of [177159, 176915, 35]-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 (211, 245, 10421)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (212, 246, 10421)-net over F3 | [i] | ||
| 3 | Digital (213, 247, 10421)-net over F3 | [i] | ||