Information on Result #2869886
Linear OOA(2163, 67, F2, 5, 64) (dual of [(67, 5), 172, 65]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2158, 66, F2, 5, 64) (dual of [(66, 5), 172, 65]-NRT-code), using
- extracting embedded OOA [i] based on digital (94, 158, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 79, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 79, 33)-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(2164, 67, F2, 5, 64) (dual of [(67, 5), 171, 65]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2165, 67, F2, 5, 64) (dual of [(67, 5), 170, 65]-NRT-code) | [i] | ||
| 3 | Linear OOA(2166, 67, F2, 5, 64) (dual of [(67, 5), 169, 65]-NRT-code) | [i] | ||
| 4 | Linear OOA(2167, 67, F2, 5, 64) (dual of [(67, 5), 168, 65]-NRT-code) | [i] | ||