Information on Result #1075163
Linear OOA(2144, 144, F2, 4, 37) (dual of [(144, 4), 432, 38]-NRT-code), using extracting embedded OOA based on digital (107, 144, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 48, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, 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(2144, 144, F2, 4, 36) (dual of [(144, 4), 432, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2148, 145, F2, 4, 37) (dual of [(145, 4), 432, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2152, 146, F2, 4, 37) (dual of [(146, 4), 432, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(2145, 144, F2, 4, 37) (dual of [(144, 4), 431, 38]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2146, 144, F2, 4, 37) (dual of [(144, 4), 430, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(2144, 72, F2, 7, 37) (dual of [(72, 7), 360, 38]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2144, 72, F2, 8, 37) (dual of [(72, 8), 432, 38]-NRT-code) | [i] | ||