Information on Result #1157882
Linear OOA(2172, 112, F2, 7, 53) (dual of [(112, 7), 612, 54]-NRT-code), using extracting embedded OOA based on digital (119, 172, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 86, 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(2172, 112, F2, 7, 52) (dual of [(112, 7), 612, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2172, 112, F2, 7, 51) (dual of [(112, 7), 612, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2172, 112, F2, 7, 50) (dual of [(112, 7), 612, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2179, 113, F2, 7, 53) (dual of [(113, 7), 612, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2173, 112, F2, 7, 53) (dual of [(112, 7), 611, 54]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2175, 112, F2, 7, 53) (dual of [(112, 7), 609, 54]-NRT-code) | [i] | ||
| 7 | Linear OOA(2177, 112, F2, 7, 53) (dual of [(112, 7), 607, 54]-NRT-code) | [i] | ||