Information on Result #1195508
Digital (75, 96, 104858)-net over F16, using net defined by OOA based on linear OOA(1696, 104858, F16, 21, 21) (dual of [(104858, 21), 2201922, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(1696, 1048581, F16, 21) (dual of [1048581, 1048485, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(1696, 1048576, F16, 21) (dual of [1048576, 1048480, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [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 (76, 97, 104858)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (85, 106, 104875)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (86, 107, 104882)-net over F16 | [i] | ||
| 4 | Digital (87, 108, 104891)-net over F16 | [i] | ||
| 5 | Digital (88, 109, 104896)-net over F16 | [i] | ||
| 6 | Digital (89, 110, 104903)-net over F16 | [i] | ||
| 7 | Digital (90, 111, 104907)-net over F16 | [i] | ||
| 8 | Digital (91, 112, 104923)-net over F16 | [i] | ||