Information on Result #1213931
Digital (83, 106, 504)-net over F5, using (u, u+v)-construction based on
- digital (29, 40, 312)-net over F5, using
- net defined by OOA [i] based on linear OOA(540, 312, F5, 11, 11) (dual of [(312, 11), 3392, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(540, 1561, F5, 11) (dual of [1561, 1521, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(540, 1562, F5, 11) (dual of [1562, 1522, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(540, 1561, F5, 11) (dual of [1561, 1521, 12]-code), using
- net defined by OOA [i] based on linear OOA(540, 312, F5, 11, 11) (dual of [(312, 11), 3392, 12]-NRT-code), using
- digital (43, 66, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 33, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- trace code for nets [i] based on digital (10, 33, 126)-net over F25, 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 (84, 107, 504)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (85, 108, 504)-net over F5 | [i] | ||