Information on Result #3001139
Linear OOA(2164, 69, F2, 8, 57) (dual of [(69, 8), 388, 58]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2156, 68, F2, 8, 57) (dual of [(68, 8), 388, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (99, 156, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 78, 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
- trace code for nets [i] based on digital (21, 78, 34)-net 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(2165, 69, F2, 8, 57) (dual of [(69, 8), 387, 58]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2166, 69, F2, 8, 57) (dual of [(69, 8), 386, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(2167, 69, F2, 8, 57) (dual of [(69, 8), 385, 58]-NRT-code) | [i] | ||
| 4 | Linear OOA(2168, 69, F2, 8, 57) (dual of [(69, 8), 384, 58]-NRT-code) | [i] | ||
| 5 | Linear OOA(2169, 69, F2, 8, 57) (dual of [(69, 8), 383, 58]-NRT-code) | [i] | ||
| 6 | Linear OOA(2170, 69, F2, 8, 57) (dual of [(69, 8), 382, 58]-NRT-code) | [i] | ||
| 7 | Linear OOA(2171, 69, F2, 8, 57) (dual of [(69, 8), 381, 58]-NRT-code) | [i] | ||