Information on Result #1000588
Linear OOA(2100, 60, F2, 3, 37) (dual of [(60, 3), 80, 38]-NRT-code), using extracting embedded OOA based on digital (63, 100, 60)-net over F2, using
- trace code for nets [i] based on digital (13, 50, 30)-net over F4, using
- net from sequence [i] based on digital (13, 29)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 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) = 13 and N(F) ≥ 30, using
- net from sequence [i] based on digital (13, 29)-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(2100, 60, F2, 3, 36) (dual of [(60, 3), 80, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2103, 61, F2, 3, 37) (dual of [(61, 3), 80, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2101, 60, F2, 3, 37) (dual of [(60, 3), 79, 38]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2100, 30, F2, 5, 37) (dual of [(30, 5), 50, 38]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2100, 30, F2, 6, 37) (dual of [(30, 6), 80, 38]-NRT-code) | [i] | ||