Information on Result #889042
Linear OOA(4122, 130, F4, 2, 55) (dual of [(130, 2), 138, 56]-NRT-code), using extracting embedded OOA based on digital (67, 122, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 61, 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(4124, 131, F4, 2, 55) (dual of [(131, 2), 138, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4126, 132, F4, 2, 55) (dual of [(132, 2), 138, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(4123, 130, F4, 2, 55) (dual of [(130, 2), 137, 56]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4149, 144, F4, 2, 55) (dual of [(144, 2), 139, 56]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4154, 147, F4, 2, 55) (dual of [(147, 2), 140, 56]-NRT-code) | [i] | ||
| 6 | Linear OOA(4156, 151, F4, 2, 55) (dual of [(151, 2), 146, 56]-NRT-code) | [i] | ||
| 7 | Linear OOA(4159, 157, F4, 2, 55) (dual of [(157, 2), 155, 56]-NRT-code) | [i] | ||
| 8 | Linear OOA(4162, 160, F4, 2, 55) (dual of [(160, 2), 158, 56]-NRT-code) | [i] | ||
| 9 | Linear OOA(4164, 163, F4, 2, 55) (dual of [(163, 2), 162, 56]-NRT-code) | [i] | ||
| 10 | Linear OOA(4122, 65, F4, 3, 55) (dual of [(65, 3), 73, 56]-NRT-code) | [i] | OOA Folding | |