Information on Result #1157972
Linear OOA(2178, 68, F2, 7, 68) (dual of [(68, 7), 298, 69]-NRT-code), using extracting embedded OOA based on digital (110, 178, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 89, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second 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) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-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(2178, 68, F2, 7, 67) (dual of [(68, 7), 298, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2178, 68, F2, 7, 66) (dual of [(68, 7), 298, 67]-NRT-code) | [i] | ||
| 3 | Linear OOA(2178, 68, F2, 7, 65) (dual of [(68, 7), 298, 66]-NRT-code) | [i] | ||
| 4 | Linear OOA(2185, 69, F2, 7, 68) (dual of [(69, 7), 298, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2192, 70, F2, 7, 68) (dual of [(70, 7), 298, 69]-NRT-code) | [i] | ||
| 6 | Linear OOA(2179, 68, F2, 7, 68) (dual of [(68, 7), 297, 69]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2181, 68, F2, 7, 68) (dual of [(68, 7), 295, 69]-NRT-code) | [i] | ||
| 8 | Linear OOA(2183, 68, F2, 7, 68) (dual of [(68, 7), 293, 69]-NRT-code) | [i] | ||