Information on Result #1075368
Linear OOA(2184, 260, F2, 4, 40) (dual of [(260, 4), 856, 41]-NRT-code), using extracting embedded OOA based on digital (144, 184, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 46, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, 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(2188, 261, F2, 4, 40) (dual of [(261, 4), 856, 41]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2192, 262, F2, 4, 40) (dual of [(262, 4), 856, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(2196, 263, F2, 4, 40) (dual of [(263, 4), 856, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(2200, 264, F2, 4, 40) (dual of [(264, 4), 856, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(2185, 260, F2, 4, 40) (dual of [(260, 4), 855, 41]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2186, 260, F2, 4, 40) (dual of [(260, 4), 854, 41]-NRT-code) | [i] | ||
| 7 | Linear OOA(2187, 260, F2, 4, 40) (dual of [(260, 4), 853, 41]-NRT-code) | [i] | ||
| 8 | Linear OOA(2208, 268, F2, 4, 40) (dual of [(268, 4), 864, 41]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2209, 269, F2, 4, 40) (dual of [(269, 4), 867, 41]-NRT-code) | [i] | ||
| 10 | Linear OOA(2210, 270, F2, 4, 40) (dual of [(270, 4), 870, 41]-NRT-code) | [i] | ||
| 11 | Linear OOA(2212, 271, F2, 4, 40) (dual of [(271, 4), 872, 41]-NRT-code) | [i] | ||
| 12 | Linear OOA(2213, 272, F2, 4, 40) (dual of [(272, 4), 875, 41]-NRT-code) | [i] | ||
| 13 | Linear OOA(2184, 130, F2, 7, 40) (dual of [(130, 7), 726, 41]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2184, 130, F2, 8, 40) (dual of [(130, 8), 856, 41]-NRT-code) | [i] | ||