Information on Result #1179113
Digital (13, 19, 2796458)-net over F256, using net defined by OOA based on linear OOA(25619, 2796458, F256, 6, 6) (dual of [(2796458, 6), 16778729, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(25619, 2796458, F256, 5, 6) (dual of [(2796458, 5), 13982271, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1282,256) [i]
- linear OOA(25616, 2796201, F256, 5, 6) (dual of [(2796201, 5), 13980989, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- (u, u+v)-construction [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 (32, 38, 5592916)-net over F16 | [i] | Trace Code for Nets | |