Information on Result #888640
Linear OOA(427, 195, F4, 2, 9) (dual of [(195, 2), 363, 10]-NRT-code), using extracting embedded OOA based on digital (18, 27, 195)-net over F4, using
- trace code for nets [i] based on digital (0, 9, 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(429, 196, F4, 2, 9) (dual of [(196, 2), 363, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(428, 195, F4, 2, 9) (dual of [(195, 2), 362, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4184, 4194496, F4, 2, 18) (dual of [(4194496, 2), 8388808, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(4196, 4194496, F4, 2, 19) (dual of [(4194496, 2), 8388796, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(427, 97, F4, 3, 9) (dual of [(97, 3), 264, 10]-NRT-code) | [i] | OOA Folding | |