Information on Result #1173498
Linear OOA(2153, 195, F2, 8, 37) (dual of [(195, 8), 1407, 38]-NRT-code), using extracting embedded OOA based on digital (116, 153, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 51, 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(2153, 195, F2, 8, 36) (dual of [(195, 8), 1407, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2153, 195, F2, 8, 35) (dual of [(195, 8), 1407, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(2161, 196, F2, 8, 37) (dual of [(196, 8), 1407, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2169, 197, F2, 8, 37) (dual of [(197, 8), 1407, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(2154, 195, F2, 8, 37) (dual of [(195, 8), 1406, 38]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2155, 195, F2, 8, 37) (dual of [(195, 8), 1405, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(2157, 195, F2, 8, 37) (dual of [(195, 8), 1403, 38]-NRT-code) | [i] | ||
| 8 | Linear OOA(2158, 195, F2, 8, 37) (dual of [(195, 8), 1402, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(2160, 195, F2, 8, 37) (dual of [(195, 8), 1400, 38]-NRT-code) | [i] | ||
| 10 | Linear OOA(2171, 198, F2, 8, 37) (dual of [(198, 8), 1413, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |