Information on Result #1003597
Linear OOA(4222, 450, F4, 3, 71) (dual of [(450, 3), 1128, 72]-NRT-code), using extracting embedded OOA based on digital (151, 222, 450)-net over F4, using
- trace code for nets [i] based on digital (40, 111, 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(4222, 450, F4, 3, 70) (dual of [(450, 3), 1128, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4225, 451, F4, 3, 71) (dual of [(451, 3), 1128, 72]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4228, 452, F4, 3, 71) (dual of [(452, 3), 1128, 72]-NRT-code) | [i] | ||
| 4 | Linear OOA(4231, 453, F4, 3, 71) (dual of [(453, 3), 1128, 72]-NRT-code) | [i] | ||
| 5 | Linear OOA(4223, 450, F4, 3, 71) (dual of [(450, 3), 1127, 72]-NRT-code) | [i] | OOA Duplication | |