Information on Result #1187680
Digital (183, 212, 74899)-net over F4, using net defined by OOA based on linear OOA(4212, 74899, F4, 29, 29) (dual of [(74899, 29), 2171859, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4212, 1048587, F4, 29) (dual of [1048587, 1048375, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4201, 1048576, F4, 27) (dual of [1048576, 1048375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(26) [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 (184, 212, 74899)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (184, 213, 74899)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (185, 214, 74899)-net over F4 | [i] | ||
| 4 | Digital (186, 215, 74899)-net over F4 | [i] | ||
| 5 | Digital (202, 231, 74916)-net over F4 | [i] | (u, u+v)-Construction for Nets | |