Information on Result #1141747
Linear OOA(2228, 260, F2, 6, 51) (dual of [(260, 6), 1332, 52]-NRT-code), using extracting embedded OOA based on digital (177, 228, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 57, 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(2228, 260, F2, 6, 50) (dual of [(260, 6), 1332, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2234, 261, F2, 6, 51) (dual of [(261, 6), 1332, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2240, 262, F2, 6, 51) (dual of [(262, 6), 1332, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(2246, 263, F2, 6, 51) (dual of [(263, 6), 1332, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 264, F2, 6, 51) (dual of [(264, 6), 1332, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(2229, 260, F2, 6, 51) (dual of [(260, 6), 1331, 52]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2230, 260, F2, 6, 51) (dual of [(260, 6), 1330, 52]-NRT-code) | [i] | ||
| 8 | Linear OOA(2231, 260, F2, 6, 51) (dual of [(260, 6), 1329, 52]-NRT-code) | [i] | ||
| 9 | Linear OOA(2233, 260, F2, 6, 51) (dual of [(260, 6), 1327, 52]-NRT-code) | [i] | ||
| 10 | Linear OOA(2254, 265, F2, 6, 51) (dual of [(265, 6), 1336, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2255, 266, F2, 6, 51) (dual of [(266, 6), 1341, 52]-NRT-code) | [i] | ||
| 12 | Linear OOA(2256, 267, F2, 6, 51) (dual of [(267, 6), 1346, 52]-NRT-code) | [i] | ||
| 13 | Linear OOA(2257, 268, F2, 6, 51) (dual of [(268, 6), 1351, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(2258, 269, F2, 6, 51) (dual of [(269, 6), 1356, 52]-NRT-code) | [i] | ||
| 15 | Linear OOA(2259, 270, F2, 6, 51) (dual of [(270, 6), 1361, 52]-NRT-code) | [i] | ||