Information on Result #1110830
Linear OOA(2189, 195, F2, 5, 49) (dual of [(195, 5), 786, 50]-NRT-code), using extracting embedded OOA based on digital (140, 189, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 63, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, 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(2189, 195, F2, 5, 48) (dual of [(195, 5), 786, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2194, 196, F2, 5, 49) (dual of [(196, 5), 786, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2199, 197, F2, 5, 49) (dual of [(197, 5), 786, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(2204, 198, F2, 5, 49) (dual of [(198, 5), 786, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(2209, 199, F2, 5, 49) (dual of [(199, 5), 786, 50]-NRT-code) | [i] | ||
| 6 | Linear OOA(2190, 195, F2, 5, 49) (dual of [(195, 5), 785, 50]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2191, 195, F2, 5, 49) (dual of [(195, 5), 784, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(2193, 195, F2, 5, 49) (dual of [(195, 5), 782, 50]-NRT-code) | [i] | ||
| 9 | Linear OOA(2213, 200, F2, 5, 49) (dual of [(200, 5), 787, 50]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2215, 201, F2, 5, 49) (dual of [(201, 5), 790, 50]-NRT-code) | [i] | ||
| 11 | Linear OOA(2216, 202, F2, 5, 49) (dual of [(202, 5), 794, 50]-NRT-code) | [i] | ||
| 12 | Linear OOA(2217, 203, F2, 5, 49) (dual of [(203, 5), 798, 50]-NRT-code) | [i] | ||
| 13 | Linear OOA(2218, 204, F2, 5, 49) (dual of [(204, 5), 802, 50]-NRT-code) | [i] | ||
| 14 | Linear OOA(2219, 205, F2, 5, 49) (dual of [(205, 5), 806, 50]-NRT-code) | [i] | ||