Information on Result #1075478
Linear OOA(2220, 260, F2, 4, 49) (dual of [(260, 4), 820, 50]-NRT-code), using extracting embedded OOA based on digital (171, 220, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 55, 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(2224, 261, F2, 4, 49) (dual of [(261, 4), 820, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2228, 262, F2, 4, 49) (dual of [(262, 4), 820, 50]-NRT-code) | [i] | ||
| 3 | Linear OOA(2232, 263, F2, 4, 49) (dual of [(263, 4), 820, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(2236, 264, F2, 4, 49) (dual of [(264, 4), 820, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(2240, 265, F2, 4, 49) (dual of [(265, 4), 820, 50]-NRT-code) | [i] | ||
| 6 | Linear OOA(2244, 266, F2, 4, 49) (dual of [(266, 4), 820, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(2221, 260, F2, 4, 49) (dual of [(260, 4), 819, 50]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2222, 260, F2, 4, 49) (dual of [(260, 4), 818, 50]-NRT-code) | [i] | ||
| 9 | Linear OOA(2223, 260, F2, 4, 49) (dual of [(260, 4), 817, 50]-NRT-code) | [i] | ||
| 10 | Linear OOA(2247, 267, F2, 4, 49) (dual of [(267, 4), 821, 50]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2250, 270, F2, 4, 49) (dual of [(270, 4), 830, 50]-NRT-code) | [i] | ||
| 12 | Linear OOA(2252, 271, F2, 4, 49) (dual of [(271, 4), 832, 50]-NRT-code) | [i] | ||
| 13 | Linear OOA(2253, 272, F2, 4, 49) (dual of [(272, 4), 835, 50]-NRT-code) | [i] | ||
| 14 | Linear OOA(2255, 274, F2, 4, 49) (dual of [(274, 4), 841, 50]-NRT-code) | [i] | ||
| 15 | Linear OOA(2257, 275, F2, 4, 49) (dual of [(275, 4), 843, 50]-NRT-code) | [i] | ||
| 16 | Linear OOA(2246, 267, F2, 4, 49) (dual of [(267, 4), 822, 50]-NRT-code) | [i] | ||
| 17 | Linear OOA(2220, 130, F2, 7, 49) (dual of [(130, 7), 690, 50]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2220, 130, F2, 8, 49) (dual of [(130, 8), 820, 50]-NRT-code) | [i] | ||