Information on Result #1195444
Digital (91, 110, 1677720)-net over F16, using net defined by OOA based on linear OOA(16110, 1677720, F16, 22, 19) (dual of [(1677720, 22), 36909730, 20]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(16110, 8388601, F16, 2, 19) (dual of [(8388601, 2), 16777092, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16110, 8388602, F16, 2, 19) (dual of [(8388602, 2), 16777094, 20]-NRT-code), using
- trace code [i] based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- trace code [i] based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16110, 8388602, F16, 2, 19) (dual of [(8388602, 2), 16777094, 20]-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 (201, 220, 3355440)-net over F4 | [i] | Trace Code for Nets | |