Information on Result #1075276
Linear OOA(2164, 112, F2, 4, 49) (dual of [(112, 4), 284, 50]-NRT-code), using extracting embedded OOA based on digital (115, 164, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 82, 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(2164, 112, F2, 4, 48) (dual of [(112, 4), 284, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2168, 113, F2, 4, 49) (dual of [(113, 4), 284, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2172, 114, F2, 4, 49) (dual of [(114, 4), 284, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 112, F2, 4, 49) (dual of [(112, 4), 283, 50]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2167, 112, F2, 4, 49) (dual of [(112, 4), 281, 50]-NRT-code) | [i] | ||
| 6 | Linear OOA(2164, 56, F2, 7, 49) (dual of [(56, 7), 228, 50]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2164, 56, F2, 8, 49) (dual of [(56, 8), 284, 50]-NRT-code) | [i] | ||