Information on Result #1186096
Digital (61, 71, 209717)-net over F4, using net defined by OOA based on linear OOA(471, 209717, F4, 10, 10) (dual of [(209717, 10), 2097099, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(471, 1048585, F4, 10) (dual of [1048585, 1048514, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(471, 1048586, F4, 10) (dual of [1048586, 1048515, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- 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(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(471, 1048586, F4, 10) (dual of [1048586, 1048515, 11]-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 (62, 72, 209717)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (63, 73, 209717)-net over F4 | [i] | ||
| 3 | Digital (67, 77, 209726)-net over F4 | [i] | (u, u+v)-Construction for Nets | |