Information on Result #1076869
Linear OOA(3168, 688, F3, 4, 35) (dual of [(688, 4), 2584, 36]-NRT-code), using extracting embedded OOA based on digital (133, 168, 688)-net over F3, using
- trace code for nets [i] based on digital (7, 42, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, 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(3172, 689, F3, 4, 35) (dual of [(689, 4), 2584, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3176, 690, F3, 4, 35) (dual of [(690, 4), 2584, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3180, 691, F3, 4, 35) (dual of [(691, 4), 2584, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3184, 692, F3, 4, 35) (dual of [(692, 4), 2584, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(3169, 688, F3, 4, 35) (dual of [(688, 4), 2583, 36]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3170, 688, F3, 4, 35) (dual of [(688, 4), 2582, 36]-NRT-code) | [i] | ||
| 7 | Linear OOA(3171, 688, F3, 4, 35) (dual of [(688, 4), 2581, 36]-NRT-code) | [i] | ||