Information on Result #1158530
Linear OOA(2212, 260, F2, 7, 47) (dual of [(260, 7), 1608, 48]-NRT-code), using extracting embedded OOA based on digital (165, 212, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 53, 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(2212, 260, F2, 7, 46) (dual of [(260, 7), 1608, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2219, 261, F2, 7, 47) (dual of [(261, 7), 1608, 48]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2226, 262, F2, 7, 47) (dual of [(262, 7), 1608, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(2233, 263, F2, 7, 47) (dual of [(263, 7), 1608, 48]-NRT-code) | [i] | ||
| 5 | Linear OOA(2213, 260, F2, 7, 47) (dual of [(260, 7), 1607, 48]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2214, 260, F2, 7, 47) (dual of [(260, 7), 1606, 48]-NRT-code) | [i] | ||
| 7 | Linear OOA(2215, 260, F2, 7, 47) (dual of [(260, 7), 1605, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(2217, 260, F2, 7, 47) (dual of [(260, 7), 1603, 48]-NRT-code) | [i] | ||
| 9 | Linear OOA(2218, 260, F2, 7, 47) (dual of [(260, 7), 1602, 48]-NRT-code) | [i] | ||
| 10 | Linear OOA(2236, 265, F2, 7, 47) (dual of [(265, 7), 1619, 48]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2237, 266, F2, 7, 47) (dual of [(266, 7), 1625, 48]-NRT-code) | [i] | ||
| 12 | Linear OOA(2238, 267, F2, 7, 47) (dual of [(267, 7), 1631, 48]-NRT-code) | [i] | ||
| 13 | Linear OOA(2239, 268, F2, 7, 47) (dual of [(268, 7), 1637, 48]-NRT-code) | [i] | ||
| 14 | Linear OOA(2240, 269, F2, 7, 47) (dual of [(269, 7), 1643, 48]-NRT-code) | [i] | ||
| 15 | Linear OOA(2241, 270, F2, 7, 47) (dual of [(270, 7), 1649, 48]-NRT-code) | [i] | ||
| 16 | Linear OOA(2243, 271, F2, 7, 47) (dual of [(271, 7), 1654, 48]-NRT-code) | [i] | ||
| 17 | Linear OOA(2244, 272, F2, 7, 47) (dual of [(272, 7), 1660, 48]-NRT-code) | [i] | ||
| 18 | Linear OOA(2246, 274, F2, 7, 47) (dual of [(274, 7), 1672, 48]-NRT-code) | [i] | ||
| 19 | Linear OOA(2248, 275, F2, 7, 47) (dual of [(275, 7), 1677, 48]-NRT-code) | [i] | ||