Information on Result #888609
Linear OOA(418, 195, F4, 2, 6) (dual of [(195, 2), 372, 7]-NRT-code), using extracting embedded OOA based on digital (12, 18, 195)-net over F4, using
- trace code for nets [i] based on digital (0, 6, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, 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(420, 196, F4, 2, 6) (dual of [(196, 2), 372, 7]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(419, 195, F4, 2, 6) (dual of [(195, 2), 371, 7]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4126, 4194496, F4, 2, 12) (dual of [(4194496, 2), 8388866, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4127, 4194496, F4, 2, 13) (dual of [(4194496, 2), 8388865, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(418, 97, F4, 3, 6) (dual of [(97, 3), 273, 7]-NRT-code) | [i] | OOA Folding | |