Information on Result #1075575
Linear OOA(2258, 112, F2, 4, 96) (dual of [(112, 4), 190, 97]-NRT-code), using extracting embedded OOA based on digital (162, 258, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 129, 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(2258, 112, F2, 4, 95) (dual of [(112, 4), 190, 96]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2259, 112, F2, 4, 96) (dual of [(112, 4), 189, 97]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2258, 56, F2, 7, 96) (dual of [(56, 7), 134, 97]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2258, 56, F2, 8, 96) (dual of [(56, 8), 190, 97]-NRT-code) | [i] | ||