Information on Result #1158005
Linear OOA(2180, 260, F2, 7, 39) (dual of [(260, 7), 1640, 40]-NRT-code), using extracting embedded OOA based on digital (141, 180, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 45, 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(2180, 260, F2, 7, 38) (dual of [(260, 7), 1640, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 261, F2, 7, 39) (dual of [(261, 7), 1640, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2194, 262, F2, 7, 39) (dual of [(262, 7), 1640, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(2181, 260, F2, 7, 39) (dual of [(260, 7), 1639, 40]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2182, 260, F2, 7, 39) (dual of [(260, 7), 1638, 40]-NRT-code) | [i] | ||
| 6 | Linear OOA(2183, 260, F2, 7, 39) (dual of [(260, 7), 1637, 40]-NRT-code) | [i] | ||
| 7 | Linear OOA(2185, 260, F2, 7, 39) (dual of [(260, 7), 1635, 40]-NRT-code) | [i] | ||
| 8 | Linear OOA(2186, 260, F2, 7, 39) (dual of [(260, 7), 1634, 40]-NRT-code) | [i] | ||
| 9 | Linear OOA(2199, 263, F2, 7, 39) (dual of [(263, 7), 1642, 40]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2200, 265, F2, 7, 39) (dual of [(265, 7), 1655, 40]-NRT-code) | [i] | ||
| 11 | Linear OOA(2201, 266, F2, 7, 39) (dual of [(266, 7), 1661, 40]-NRT-code) | [i] | ||
| 12 | Linear OOA(2202, 267, F2, 7, 39) (dual of [(267, 7), 1667, 40]-NRT-code) | [i] | ||
| 13 | Linear OOA(2203, 268, F2, 7, 39) (dual of [(268, 7), 1673, 40]-NRT-code) | [i] | ||
| 14 | Linear OOA(2204, 269, F2, 7, 39) (dual of [(269, 7), 1679, 40]-NRT-code) | [i] | ||
| 15 | Linear OOA(2205, 270, F2, 7, 39) (dual of [(270, 7), 1685, 40]-NRT-code) | [i] | ||
| 16 | Linear OOA(2207, 271, F2, 7, 39) (dual of [(271, 7), 1690, 40]-NRT-code) | [i] | ||
| 17 | Linear OOA(2208, 272, F2, 7, 39) (dual of [(272, 7), 1696, 40]-NRT-code) | [i] | ||