Information on Result #1187162
Digital (139, 161, 95326)-net over F4, using net defined by OOA based on linear OOA(4161, 95326, F4, 22, 22) (dual of [(95326, 22), 2097011, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(4161, 1048586, F4, 22) (dual of [1048586, 1048425, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [i] based on
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 (140, 162, 95326)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (141, 163, 95326)-net over F4 | [i] | ||
| 3 | Digital (150, 172, 95331)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (151, 173, 95335)-net over F4 | [i] | ||
| 5 | Digital (152, 174, 95336)-net over F4 | [i] | ||
| 6 | Digital (153, 175, 95340)-net over F4 | [i] | ||
| 7 | Digital (154, 176, 95341)-net over F4 | [i] | ||