Information on Result #890887
Linear OOA(8124, 354, F8, 2, 55) (dual of [(354, 2), 584, 56]-NRT-code), using extracting embedded OOA based on digital (69, 124, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 62, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, 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(8126, 355, F8, 2, 55) (dual of [(355, 2), 584, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8128, 356, F8, 2, 55) (dual of [(356, 2), 584, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(8125, 354, F8, 2, 55) (dual of [(354, 2), 583, 56]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8151, 368, F8, 2, 55) (dual of [(368, 2), 585, 56]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(8153, 371, F8, 2, 55) (dual of [(371, 2), 589, 56]-NRT-code) | [i] | ||
| 6 | Linear OOA(8154, 378, F8, 2, 55) (dual of [(378, 2), 602, 56]-NRT-code) | [i] | ||
| 7 | Linear OOA(8155, 379, F8, 2, 55) (dual of [(379, 2), 603, 56]-NRT-code) | [i] | ||
| 8 | Linear OOA(8156, 382, F8, 2, 55) (dual of [(382, 2), 608, 56]-NRT-code) | [i] | ||
| 9 | Linear OOA(8158, 388, F8, 2, 55) (dual of [(388, 2), 618, 56]-NRT-code) | [i] | ||
| 10 | Linear OOA(8159, 389, F8, 2, 55) (dual of [(389, 2), 619, 56]-NRT-code) | [i] | ||
| 11 | Linear OOA(8160, 399, F8, 2, 55) (dual of [(399, 2), 638, 56]-NRT-code) | [i] | ||
| 12 | Linear OOA(8161, 400, F8, 2, 55) (dual of [(400, 2), 639, 56]-NRT-code) | [i] | ||
| 13 | Linear OOA(8162, 402, F8, 2, 55) (dual of [(402, 2), 642, 56]-NRT-code) | [i] | ||
| 14 | Linear OOA(8124, 177, F8, 3, 55) (dual of [(177, 3), 407, 56]-NRT-code) | [i] | OOA Folding | |