Information on Result #1075252
Linear OOA(2159, 195, F2, 4, 39) (dual of [(195, 4), 621, 40]-NRT-code), using extracting embedded OOA based on digital (120, 159, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 53, 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(2159, 195, F2, 4, 38) (dual of [(195, 4), 621, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 196, F2, 4, 39) (dual of [(196, 4), 621, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2167, 197, F2, 4, 39) (dual of [(197, 4), 621, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(2171, 198, F2, 4, 39) (dual of [(198, 4), 621, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(2175, 199, F2, 4, 39) (dual of [(199, 4), 621, 40]-NRT-code) | [i] | ||
| 6 | Linear OOA(2160, 195, F2, 4, 39) (dual of [(195, 4), 620, 40]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2161, 195, F2, 4, 39) (dual of [(195, 4), 619, 40]-NRT-code) | [i] | ||
| 8 | Linear OOA(2178, 200, F2, 4, 39) (dual of [(200, 4), 622, 40]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2159, 97, F2, 7, 39) (dual of [(97, 7), 520, 40]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2159, 97, F2, 8, 39) (dual of [(97, 8), 617, 40]-NRT-code) | [i] | ||