Information on Result #1075377
Linear OOA(2186, 144, F2, 4, 51) (dual of [(144, 4), 390, 52]-NRT-code), using extracting embedded OOA based on digital (135, 186, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 62, 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(2186, 144, F2, 4, 50) (dual of [(144, 4), 390, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2190, 145, F2, 4, 51) (dual of [(145, 4), 390, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2194, 146, F2, 4, 51) (dual of [(146, 4), 390, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 144, F2, 4, 51) (dual of [(144, 4), 389, 52]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2188, 144, F2, 4, 51) (dual of [(144, 4), 388, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(2186, 72, F2, 7, 51) (dual of [(72, 7), 318, 52]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2186, 72, F2, 8, 51) (dual of [(72, 8), 390, 52]-NRT-code) | [i] | ||