Information on Result #1003463
Linear OOA(4186, 130, F4, 3, 87) (dual of [(130, 3), 204, 88]-NRT-code), using extracting embedded OOA based on digital (99, 186, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 93, 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(4186, 130, F4, 3, 86) (dual of [(130, 3), 204, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4189, 131, F4, 3, 87) (dual of [(131, 3), 204, 88]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4192, 132, F4, 3, 87) (dual of [(132, 3), 204, 88]-NRT-code) | [i] | ||
| 4 | Linear OOA(4195, 133, F4, 3, 87) (dual of [(133, 3), 204, 88]-NRT-code) | [i] | ||
| 5 | Linear OOA(4198, 134, F4, 3, 87) (dual of [(134, 3), 204, 88]-NRT-code) | [i] | ||
| 6 | Linear OOA(4201, 135, F4, 3, 87) (dual of [(135, 3), 204, 88]-NRT-code) | [i] | ||
| 7 | Linear OOA(4187, 130, F4, 3, 87) (dual of [(130, 3), 203, 88]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(4230, 145, F4, 3, 87) (dual of [(145, 3), 205, 88]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(4234, 147, F4, 3, 87) (dual of [(147, 3), 207, 88]-NRT-code) | [i] | ||
| 10 | Linear OOA(4244, 163, F4, 3, 87) (dual of [(163, 3), 245, 88]-NRT-code) | [i] | ||