Information on Result #1001060
Linear OOA(2244, 260, F2, 3, 55) (dual of [(260, 3), 536, 56]-NRT-code), using extracting embedded OOA based on digital (189, 244, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 61, 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(2247, 261, F2, 3, 55) (dual of [(261, 3), 536, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2250, 262, F2, 3, 55) (dual of [(262, 3), 536, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(2253, 263, F2, 3, 55) (dual of [(263, 3), 536, 56]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 264, F2, 3, 55) (dual of [(264, 3), 536, 56]-NRT-code) | [i] | ||
| 5 | Linear OOA(2259, 265, F2, 3, 55) (dual of [(265, 3), 536, 56]-NRT-code) | [i] | ||
| 6 | Linear OOA(2245, 260, F2, 3, 55) (dual of [(260, 3), 535, 56]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2246, 260, F2, 3, 55) (dual of [(260, 3), 534, 56]-NRT-code) | [i] | ||
| 8 | Linear OOA(2244, 130, F2, 5, 55) (dual of [(130, 5), 406, 56]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2244, 130, F2, 6, 55) (dual of [(130, 6), 536, 56]-NRT-code) | [i] | ||