Information on Result #1195414
Digital (55, 74, 14563)-net over F16, using net defined by OOA based on linear OOA(1674, 14563, F16, 19, 19) (dual of [(14563, 19), 276623, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(1674, 131068, F16, 19) (dual of [131068, 130994, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1674, 131074, F16, 19) (dual of [131074, 131000, 20]-code), using
- trace code [i] based on linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- trace code [i] based on linear OA(25637, 65537, F256, 19) (dual of [65537, 65500, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1674, 131074, F16, 19) (dual of [131074, 131000, 20]-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 (64, 83, 14580)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (65, 84, 14587)-net over F16 | [i] | ||
| 3 | Digital (66, 85, 14596)-net over F16 | [i] | ||