Information on Result #1000938
Linear OOA(2186, 195, F2, 3, 48) (dual of [(195, 3), 399, 49]-NRT-code), using extracting embedded OOA based on digital (138, 186, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 62, 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, 196, F2, 3, 48) (dual of [(196, 3), 399, 49]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2192, 197, F2, 3, 48) (dual of [(197, 3), 399, 49]-NRT-code) | [i] | ||
| 3 | Linear OOA(2195, 198, F2, 3, 48) (dual of [(198, 3), 399, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 195, F2, 3, 48) (dual of [(195, 3), 398, 49]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2188, 195, F2, 3, 48) (dual of [(195, 3), 397, 49]-NRT-code) | [i] | ||
| 6 | Linear OOA(2212, 204, F2, 3, 48) (dual of [(204, 3), 400, 49]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2186, 97, F2, 5, 48) (dual of [(97, 5), 299, 49]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2186, 97, F2, 6, 48) (dual of [(97, 6), 396, 49]-NRT-code) | [i] | ||