Information on Result #1006249
Linear OOA(876, 354, F8, 3, 31) (dual of [(354, 3), 986, 32]-NRT-code), using extracting embedded OOA based on digital (45, 76, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 38, 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(876, 354, F8, 3, 30) (dual of [(354, 3), 986, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(879, 355, F8, 3, 31) (dual of [(355, 3), 986, 32]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(882, 356, F8, 3, 31) (dual of [(356, 3), 986, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(877, 354, F8, 3, 31) (dual of [(354, 3), 985, 32]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(891, 363, F8, 3, 31) (dual of [(363, 3), 998, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(892, 368, F8, 3, 31) (dual of [(368, 3), 1012, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(893, 371, F8, 3, 31) (dual of [(371, 3), 1020, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(894, 378, F8, 3, 31) (dual of [(378, 3), 1040, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(895, 379, F8, 3, 31) (dual of [(379, 3), 1042, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(896, 382, F8, 3, 31) (dual of [(382, 3), 1050, 32]-NRT-code) | [i] | ||
| 11 | Linear OOA(898, 388, F8, 3, 31) (dual of [(388, 3), 1066, 32]-NRT-code) | [i] | ||
| 12 | Linear OOA(899, 389, F8, 3, 31) (dual of [(389, 3), 1068, 32]-NRT-code) | [i] | ||
| 13 | Linear OOA(8100, 399, F8, 3, 31) (dual of [(399, 3), 1097, 32]-NRT-code) | [i] | ||
| 14 | Linear OOA(8101, 400, F8, 3, 31) (dual of [(400, 3), 1099, 32]-NRT-code) | [i] | ||
| 15 | Linear OOA(8102, 402, F8, 3, 31) (dual of [(402, 3), 1104, 32]-NRT-code) | [i] | ||
| 16 | Linear OOA(8105, 419, F8, 3, 31) (dual of [(419, 3), 1152, 32]-NRT-code) | [i] | ||
| 17 | Linear OOA(8106, 484, F8, 3, 31) (dual of [(484, 3), 1346, 32]-NRT-code) | [i] | ||
| 18 | Linear OOA(8108, 514, F8, 3, 31) (dual of [(514, 3), 1434, 32]-NRT-code) | [i] | ||