Information on Result #1075389
Linear OOA(2189, 195, F2, 4, 49) (dual of [(195, 4), 591, 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, 4, 48) (dual of [(195, 4), 591, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2193, 196, F2, 4, 49) (dual of [(196, 4), 591, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2197, 197, F2, 4, 49) (dual of [(197, 4), 591, 50]-NRT-code) | [i] | ||
| 4 | Linear OOA(2201, 198, F2, 4, 49) (dual of [(198, 4), 591, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(2205, 199, F2, 4, 49) (dual of [(199, 4), 591, 50]-NRT-code) | [i] | ||
| 6 | Linear OOA(2209, 200, F2, 4, 49) (dual of [(200, 4), 591, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(2213, 201, F2, 4, 49) (dual of [(201, 4), 591, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(2190, 195, F2, 4, 49) (dual of [(195, 4), 590, 50]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2191, 195, F2, 4, 49) (dual of [(195, 4), 589, 50]-NRT-code) | [i] | ||
| 10 | Linear OOA(2216, 202, F2, 4, 49) (dual of [(202, 4), 592, 50]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2217, 203, F2, 4, 49) (dual of [(203, 4), 595, 50]-NRT-code) | [i] | ||
| 12 | Linear OOA(2218, 204, F2, 4, 49) (dual of [(204, 4), 598, 50]-NRT-code) | [i] | ||
| 13 | Linear OOA(2219, 205, F2, 4, 49) (dual of [(205, 4), 601, 50]-NRT-code) | [i] | ||
| 14 | Linear OOA(2215, 202, F2, 4, 49) (dual of [(202, 4), 593, 50]-NRT-code) | [i] | ||
| 15 | Linear OOA(2189, 97, F2, 7, 49) (dual of [(97, 7), 490, 50]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(2189, 97, F2, 8, 49) (dual of [(97, 8), 587, 50]-NRT-code) | [i] | ||