Information on Result #1140973
Linear OOA(2174, 112, F2, 6, 54) (dual of [(112, 6), 498, 55]-NRT-code), using extracting embedded OOA based on digital (120, 174, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 87, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, 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(2174, 112, F2, 6, 53) (dual of [(112, 6), 498, 54]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2174, 112, F2, 6, 52) (dual of [(112, 6), 498, 53]-NRT-code) | [i] | ||
| 3 | Linear OOA(2180, 113, F2, 6, 54) (dual of [(113, 6), 498, 55]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2186, 114, F2, 6, 54) (dual of [(114, 6), 498, 55]-NRT-code) | [i] | ||
| 5 | Linear OOA(2175, 112, F2, 6, 54) (dual of [(112, 6), 497, 55]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2177, 112, F2, 6, 54) (dual of [(112, 6), 495, 55]-NRT-code) | [i] | ||
| 7 | Linear OOA(2179, 112, F2, 6, 54) (dual of [(112, 6), 493, 55]-NRT-code) | [i] | ||