Information on Result #1006491
Linear OOA(8136, 354, F8, 3, 61) (dual of [(354, 3), 926, 62]-NRT-code), using extracting embedded OOA based on digital (75, 136, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 68, 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(8136, 354, F8, 3, 60) (dual of [(354, 3), 926, 61]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8139, 355, F8, 3, 61) (dual of [(355, 3), 926, 62]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8142, 356, F8, 3, 61) (dual of [(356, 3), 926, 62]-NRT-code) | [i] | ||
| 4 | Linear OOA(8137, 354, F8, 3, 61) (dual of [(354, 3), 925, 62]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(8167, 368, F8, 3, 61) (dual of [(368, 3), 937, 62]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8168, 371, F8, 3, 61) (dual of [(371, 3), 945, 62]-NRT-code) | [i] | ||
| 7 | Linear OOA(8169, 378, F8, 3, 61) (dual of [(378, 3), 965, 62]-NRT-code) | [i] | ||
| 8 | Linear OOA(8170, 379, F8, 3, 61) (dual of [(379, 3), 967, 62]-NRT-code) | [i] | ||
| 9 | Linear OOA(8171, 382, F8, 3, 61) (dual of [(382, 3), 975, 62]-NRT-code) | [i] | ||
| 10 | Linear OOA(8173, 388, F8, 3, 61) (dual of [(388, 3), 991, 62]-NRT-code) | [i] | ||