Information on Result #1157283
Linear OOA(2128, 60, F2, 7, 51) (dual of [(60, 7), 292, 52]-NRT-code), using extracting embedded OOA based on digital (77, 128, 60)-net over F2, using
- trace code for nets [i] based on digital (13, 64, 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(2128, 60, F2, 7, 50) (dual of [(60, 7), 292, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2129, 60, F2, 7, 51) (dual of [(60, 7), 291, 52]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2131, 60, F2, 7, 51) (dual of [(60, 7), 289, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(2161, 71, F2, 7, 51) (dual of [(71, 7), 336, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2164, 74, F2, 7, 51) (dual of [(74, 7), 354, 52]-NRT-code) | [i] | ||