Information on Result #1185608
Digital (188, 220, 3693)-net over F3, using net defined by OOA based on linear OOA(3220, 3693, F3, 32, 32) (dual of [(3693, 32), 117956, 33]-NRT-code), using
- OA 16-folding and stacking [i] based on linear OA(3220, 59088, F3, 32) (dual of [59088, 58868, 33]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3217, 59085, F3, 32) (dual of [59085, 58868, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- 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(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(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(3217, 59085, F3, 32) (dual of [59085, 58868, 33]-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, 221, 3693)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (190, 222, 3693)-net over F3 | [i] | ||
| 3 | Digital (191, 223, 3693)-net over F3 | [i] | ||
| 4 | Digital (192, 224, 3693)-net over F3 | [i] | ||
| 5 | Digital (193, 225, 3693)-net over F3 | [i] | ||