Information on Result #1187072
Digital (135, 156, 104861)-net over F4, using net defined by OOA based on linear OOA(4156, 104861, F4, 21, 21) (dual of [(104861, 21), 2201925, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4156, 1048611, F4, 21) (dual of [1048611, 1048455, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- 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(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(20) ⊂ Ce(16) [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 (136, 156, 104861)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (136, 157, 104861)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (137, 158, 104861)-net over F4 | [i] | ||
| 4 | Digital (138, 159, 104861)-net over F4 | [i] | ||
| 5 | Digital (139, 160, 104861)-net over F4 | [i] | ||