Information on Result #1195666
Digital (95, 120, 87383)-net over F16, using net defined by OOA based on linear OOA(16120, 87383, F16, 25, 25) (dual of [(87383, 25), 2184455, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(16120, 1048597, F16, 25) (dual of [1048597, 1048477, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(16120, 1048600, F16, 25) (dual of [1048600, 1048480, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(16116, 1048576, F16, 25) (dual of [1048576, 1048460, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(16120, 1048600, F16, 25) (dual of [1048600, 1048480, 26]-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 (96, 121, 87383)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (97, 122, 87383)-net over F16 | [i] | ||