Information on Result #1221435
Digital (49, 68, 1802)-net over F25, using (u, u+v)-construction based on
- digital (4, 13, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- digital (36, 55, 1736)-net over F25, using
- net defined by OOA [i] based on linear OOA(2555, 1736, F25, 19, 19) (dual of [(1736, 19), 32929, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 9-folding and stacking with additional row [i] based on linear OA(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using
- net defined by OOA [i] based on linear OOA(2555, 1736, F25, 19, 19) (dual of [(1736, 19), 32929, 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 (50, 69, 1802)-net over F25 | [i] | Net Duplication | |