Information on Result #889008
Linear OOA(4114, 130, F4, 2, 51) (dual of [(130, 2), 146, 52]-NRT-code), using extracting embedded OOA based on digital (63, 114, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 57, 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(4116, 131, F4, 2, 51) (dual of [(131, 2), 146, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4118, 132, F4, 2, 51) (dual of [(132, 2), 146, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(4115, 130, F4, 2, 51) (dual of [(130, 2), 145, 52]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4139, 143, F4, 2, 51) (dual of [(143, 2), 147, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4144, 147, F4, 2, 51) (dual of [(147, 2), 150, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(4146, 151, F4, 2, 51) (dual of [(151, 2), 156, 52]-NRT-code) | [i] | ||
| 7 | Linear OOA(4149, 157, F4, 2, 51) (dual of [(157, 2), 165, 52]-NRT-code) | [i] | ||
| 8 | Linear OOA(4152, 160, F4, 2, 51) (dual of [(160, 2), 168, 52]-NRT-code) | [i] | ||
| 9 | Linear OOA(4114, 65, F4, 3, 51) (dual of [(65, 3), 81, 52]-NRT-code) | [i] | OOA Folding | |