Information on Result #1186410
Digital (92, 106, 149801)-net over F4, using net defined by OOA based on linear OOA(4106, 149801, F4, 14, 14) (dual of [(149801, 14), 2097108, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(4106, 1048607, F4, 14) (dual of [1048607, 1048501, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4106, 1048611, F4, 14) (dual of [1048611, 1048505, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4106, 1048611, F4, 14) (dual of [1048611, 1048505, 15]-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 (93, 107, 149801)-net over F4 | [i] | Net Duplication | |