Information on Result #1195494
Digital (61, 82, 13107)-net over F16, using net defined by OOA based on linear OOA(1682, 13107, F16, 21, 21) (dual of [(13107, 21), 275165, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(1682, 131071, F16, 21) (dual of [131071, 130989, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1682, 131074, F16, 21) (dual of [131074, 130992, 22]-code), using
- trace code [i] based on linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- trace code [i] based on linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1682, 131074, F16, 21) (dual of [131074, 130992, 22]-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 (62, 83, 13107)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (71, 92, 13124)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (72, 93, 13131)-net over F16 | [i] | ||
| 4 | Digital (73, 94, 13140)-net over F16 | [i] | ||
| 5 | Digital (74, 95, 13145)-net over F16 | [i] | ||