Information on Result #888956
Linear OOA(4102, 130, F4, 2, 45) (dual of [(130, 2), 158, 46]-NRT-code), using extracting embedded OOA based on digital (57, 102, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 51, 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(4104, 131, F4, 2, 45) (dual of [(131, 2), 158, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4106, 132, F4, 2, 45) (dual of [(132, 2), 158, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(4103, 130, F4, 2, 45) (dual of [(130, 2), 157, 46]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4125, 142, F4, 2, 45) (dual of [(142, 2), 159, 46]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4127, 144, F4, 2, 45) (dual of [(144, 2), 161, 46]-NRT-code) | [i] | ||
| 6 | Linear OOA(4128, 145, F4, 2, 45) (dual of [(145, 2), 162, 46]-NRT-code) | [i] | ||
| 7 | Linear OOA(4129, 147, F4, 2, 45) (dual of [(147, 2), 165, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(4131, 151, F4, 2, 45) (dual of [(151, 2), 171, 46]-NRT-code) | [i] | ||
| 9 | Linear OOA(4134, 157, F4, 2, 45) (dual of [(157, 2), 180, 46]-NRT-code) | [i] | ||
| 10 | Linear OOA(4102, 65, F4, 3, 45) (dual of [(65, 3), 93, 46]-NRT-code) | [i] | OOA Folding | |