Information on Result #1006402
Linear OOA(8112, 354, F8, 3, 49) (dual of [(354, 3), 950, 50]-NRT-code), using extracting embedded OOA based on digital (63, 112, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 56, 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(8112, 354, F8, 3, 48) (dual of [(354, 3), 950, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8115, 355, F8, 3, 49) (dual of [(355, 3), 950, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8118, 356, F8, 3, 49) (dual of [(356, 3), 950, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(8113, 354, F8, 3, 49) (dual of [(354, 3), 949, 50]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(8136, 363, F8, 3, 49) (dual of [(363, 3), 953, 50]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8137, 368, F8, 3, 49) (dual of [(368, 3), 967, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(8138, 371, F8, 3, 49) (dual of [(371, 3), 975, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(8139, 378, F8, 3, 49) (dual of [(378, 3), 995, 50]-NRT-code) | [i] | ||
| 9 | Linear OOA(8140, 379, F8, 3, 49) (dual of [(379, 3), 997, 50]-NRT-code) | [i] | ||
| 10 | Linear OOA(8141, 382, F8, 3, 49) (dual of [(382, 3), 1005, 50]-NRT-code) | [i] | ||
| 11 | Linear OOA(8143, 388, F8, 3, 49) (dual of [(388, 3), 1021, 50]-NRT-code) | [i] | ||
| 12 | Linear OOA(8144, 389, F8, 3, 49) (dual of [(389, 3), 1023, 50]-NRT-code) | [i] | ||
| 13 | Linear OOA(8145, 399, F8, 3, 49) (dual of [(399, 3), 1052, 50]-NRT-code) | [i] | ||
| 14 | Linear OOA(8146, 400, F8, 3, 49) (dual of [(400, 3), 1054, 50]-NRT-code) | [i] | ||
| 15 | Linear OOA(8147, 402, F8, 3, 49) (dual of [(402, 3), 1059, 50]-NRT-code) | [i] | ||
| 16 | Linear OOA(8150, 419, F8, 3, 49) (dual of [(419, 3), 1107, 50]-NRT-code) | [i] | ||