Information on Result #1001015
Linear OOA(2224, 260, F2, 3, 50) (dual of [(260, 3), 556, 51]-NRT-code), using extracting embedded OOA based on digital (174, 224, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 56, 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(2227, 261, F2, 3, 50) (dual of [(261, 3), 556, 51]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2230, 262, F2, 3, 50) (dual of [(262, 3), 556, 51]-NRT-code) | [i] | ||
| 3 | Linear OOA(2233, 263, F2, 3, 50) (dual of [(263, 3), 556, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2236, 264, F2, 3, 50) (dual of [(264, 3), 556, 51]-NRT-code) | [i] | ||
| 5 | Linear OOA(2239, 265, F2, 3, 50) (dual of [(265, 3), 556, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(2242, 266, F2, 3, 50) (dual of [(266, 3), 556, 51]-NRT-code) | [i] | ||
| 7 | Linear OOA(2225, 260, F2, 3, 50) (dual of [(260, 3), 555, 51]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2226, 260, F2, 3, 50) (dual of [(260, 3), 554, 51]-NRT-code) | [i] | ||
| 9 | Linear OOA(2224, 130, F2, 5, 50) (dual of [(130, 5), 426, 51]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2224, 130, F2, 6, 50) (dual of [(130, 6), 556, 51]-NRT-code) | [i] | ||