Information on Result #1195278
Digital (71, 86, 2097150)-net over F16, using net defined by OOA based on linear OOA(1686, 2097150, F16, 18, 15) (dual of [(2097150, 18), 37748614, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1686, 8388601, F16, 2, 15) (dual of [(8388601, 2), 16777116, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1686, 8388602, F16, 2, 15) (dual of [(8388602, 2), 16777118, 16]-NRT-code), using
- trace code [i] based on linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- trace code [i] based on linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1686, 8388602, F16, 2, 15) (dual of [(8388602, 2), 16777118, 16]-NRT-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 (157, 172, 4194300)-net over F4 | [i] | Trace Code for Nets | |