Information on Result #1003469
Linear OOA(4188, 130, F4, 3, 88) (dual of [(130, 3), 202, 89]-NRT-code), using extracting embedded OOA based on digital (100, 188, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 94, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, 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(4188, 130, F4, 3, 87) (dual of [(130, 3), 202, 88]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4191, 131, F4, 3, 88) (dual of [(131, 3), 202, 89]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4194, 132, F4, 3, 88) (dual of [(132, 3), 202, 89]-NRT-code) | [i] | ||
| 4 | Linear OOA(4197, 133, F4, 3, 88) (dual of [(133, 3), 202, 89]-NRT-code) | [i] | ||
| 5 | Linear OOA(4200, 134, F4, 3, 88) (dual of [(134, 3), 202, 89]-NRT-code) | [i] | ||
| 6 | Linear OOA(4189, 130, F4, 3, 88) (dual of [(130, 3), 201, 89]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(4232, 145, F4, 3, 88) (dual of [(145, 3), 203, 89]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4237, 147, F4, 3, 88) (dual of [(147, 3), 204, 89]-NRT-code) | [i] | ||