Information on Result #1187748
Digital (199, 229, 69908)-net over F4, using net defined by OOA based on linear OOA(4229, 69908, F4, 30, 30) (dual of [(69908, 30), 2097011, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(4229, 1048620, F4, 30) (dual of [1048620, 1048391, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4229, 1048624, F4, 30) (dual of [1048624, 1048395, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(48, 48, F4, 4) (dual of [48, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(4229, 1048624, F4, 30) (dual of [1048624, 1048395, 31]-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 (200, 230, 69908)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (201, 231, 69908)-net over F4 | [i] | ||
| 3 | Digital (202, 232, 69908)-net over F4 | [i] | ||
| 4 | Digital (203, 233, 69908)-net over F4 | [i] | ||