Information on Result #1173758
Linear OOA(2171, 195, F2, 8, 43) (dual of [(195, 8), 1389, 44]-NRT-code), using extracting embedded OOA based on digital (128, 171, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 57, 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(2171, 195, F2, 8, 42) (dual of [(195, 8), 1389, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2171, 195, F2, 8, 41) (dual of [(195, 8), 1389, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(2179, 196, F2, 8, 43) (dual of [(196, 8), 1389, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2187, 197, F2, 8, 43) (dual of [(197, 8), 1389, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(2172, 195, F2, 8, 43) (dual of [(195, 8), 1388, 44]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2173, 195, F2, 8, 43) (dual of [(195, 8), 1387, 44]-NRT-code) | [i] | ||
| 7 | Linear OOA(2175, 195, F2, 8, 43) (dual of [(195, 8), 1385, 44]-NRT-code) | [i] | ||
| 8 | Linear OOA(2176, 195, F2, 8, 43) (dual of [(195, 8), 1384, 44]-NRT-code) | [i] | ||
| 9 | Linear OOA(2178, 195, F2, 8, 43) (dual of [(195, 8), 1382, 44]-NRT-code) | [i] | ||
| 10 | Linear OOA(2192, 198, F2, 8, 43) (dual of [(198, 8), 1392, 44]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2193, 200, F2, 8, 43) (dual of [(200, 8), 1407, 44]-NRT-code) | [i] | ||
| 12 | Linear OOA(2194, 201, F2, 8, 43) (dual of [(201, 8), 1414, 44]-NRT-code) | [i] | ||
| 13 | Linear OOA(2195, 202, F2, 8, 43) (dual of [(202, 8), 1421, 44]-NRT-code) | [i] | ||