Information on Result #1186848
Digital (122, 141, 116509)-net over F4, using net defined by OOA based on linear OOA(4141, 116509, F4, 19, 19) (dual of [(116509, 19), 2213530, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(4141, 1048582, F4, 19) (dual of [1048582, 1048441, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4141, 1048586, F4, 19) (dual of [1048586, 1048445, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4141, 1048576, F4, 19) (dual of [1048576, 1048435, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4141, 1048586, F4, 19) (dual of [1048586, 1048445, 20]-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 (131, 150, 116514)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (132, 151, 116518)-net over F4 | [i] | ||
| 3 | Digital (133, 152, 116519)-net over F4 | [i] | ||
| 4 | Digital (134, 153, 116523)-net over F4 | [i] | ||
| 5 | Digital (135, 154, 116524)-net over F4 | [i] | ||