Information on Result #1004232
Linear OOA(576, 252, F5, 3, 28) (dual of [(252, 3), 680, 29]-NRT-code), using extracting embedded OOA based on digital (48, 76, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 38, 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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(576, 252, F5, 3, 27) (dual of [(252, 3), 680, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(579, 253, F5, 3, 28) (dual of [(253, 3), 680, 29]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(582, 254, F5, 3, 28) (dual of [(254, 3), 680, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(585, 255, F5, 3, 28) (dual of [(255, 3), 680, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(588, 256, F5, 3, 28) (dual of [(256, 3), 680, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(577, 252, F5, 3, 28) (dual of [(252, 3), 679, 29]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(590, 258, F5, 3, 28) (dual of [(258, 3), 684, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(591, 262, F5, 3, 28) (dual of [(262, 3), 695, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(592, 264, F5, 3, 28) (dual of [(264, 3), 700, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(593, 268, F5, 3, 28) (dual of [(268, 3), 711, 29]-NRT-code) | [i] | ||