Information on Result #1003554
Linear OOA(4210, 450, F4, 3, 65) (dual of [(450, 3), 1140, 66]-NRT-code), using extracting embedded OOA based on digital (145, 210, 450)-net over F4, using
- trace code for nets [i] based on digital (40, 105, 225)-net over F16, using
- net from sequence [i] based on digital (40, 224)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- net from sequence [i] based on digital (40, 224)-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(4210, 450, F4, 3, 64) (dual of [(450, 3), 1140, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4213, 451, F4, 3, 65) (dual of [(451, 3), 1140, 66]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4211, 450, F4, 3, 65) (dual of [(450, 3), 1139, 66]-NRT-code) | [i] | OOA Duplication | |