Information on Result #890867
Linear OOA(8116, 354, F8, 2, 51) (dual of [(354, 2), 592, 52]-NRT-code), using extracting embedded OOA based on digital (65, 116, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 58, 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(8118, 355, F8, 2, 51) (dual of [(355, 2), 592, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8120, 356, F8, 2, 51) (dual of [(356, 2), 592, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(8117, 354, F8, 2, 51) (dual of [(354, 2), 591, 52]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8141, 367, F8, 2, 51) (dual of [(367, 2), 593, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(8142, 368, F8, 2, 51) (dual of [(368, 2), 594, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(8143, 371, F8, 2, 51) (dual of [(371, 2), 599, 52]-NRT-code) | [i] | ||
| 7 | Linear OOA(8144, 378, F8, 2, 51) (dual of [(378, 2), 612, 52]-NRT-code) | [i] | ||
| 8 | Linear OOA(8145, 379, F8, 2, 51) (dual of [(379, 2), 613, 52]-NRT-code) | [i] | ||
| 9 | Linear OOA(8146, 382, F8, 2, 51) (dual of [(382, 2), 618, 52]-NRT-code) | [i] | ||
| 10 | Linear OOA(8148, 388, F8, 2, 51) (dual of [(388, 2), 628, 52]-NRT-code) | [i] | ||
| 11 | Linear OOA(8149, 389, F8, 2, 51) (dual of [(389, 2), 629, 52]-NRT-code) | [i] | ||
| 12 | Linear OOA(8150, 399, F8, 2, 51) (dual of [(399, 2), 648, 52]-NRT-code) | [i] | ||
| 13 | Linear OOA(8151, 400, F8, 2, 51) (dual of [(400, 2), 649, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(8152, 402, F8, 2, 51) (dual of [(402, 2), 652, 52]-NRT-code) | [i] | ||
| 15 | Linear OOA(8155, 419, F8, 2, 51) (dual of [(419, 2), 683, 52]-NRT-code) | [i] | ||
| 16 | Linear OOA(8116, 177, F8, 3, 51) (dual of [(177, 3), 415, 52]-NRT-code) | [i] | OOA Folding | |