Information on Result #1173848
Linear OOA(2177, 195, F2, 8, 45) (dual of [(195, 8), 1383, 46]-NRT-code), using extracting embedded OOA based on digital (132, 177, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 59, 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(2177, 195, F2, 8, 44) (dual of [(195, 8), 1383, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2177, 195, F2, 8, 43) (dual of [(195, 8), 1383, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(2185, 196, F2, 8, 45) (dual of [(196, 8), 1383, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2193, 197, F2, 8, 45) (dual of [(197, 8), 1383, 46]-NRT-code) | [i] | ||
| 5 | Linear OOA(2178, 195, F2, 8, 45) (dual of [(195, 8), 1382, 46]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2179, 195, F2, 8, 45) (dual of [(195, 8), 1381, 46]-NRT-code) | [i] | ||
| 7 | Linear OOA(2181, 195, F2, 8, 45) (dual of [(195, 8), 1379, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(2182, 195, F2, 8, 45) (dual of [(195, 8), 1378, 46]-NRT-code) | [i] | ||
| 9 | Linear OOA(2184, 195, F2, 8, 45) (dual of [(195, 8), 1376, 46]-NRT-code) | [i] | ||
| 10 | Linear OOA(2199, 198, F2, 8, 45) (dual of [(198, 8), 1385, 46]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2200, 200, F2, 8, 45) (dual of [(200, 8), 1400, 46]-NRT-code) | [i] | ||
| 12 | Linear OOA(2201, 201, F2, 8, 45) (dual of [(201, 8), 1407, 46]-NRT-code) | [i] | ||
| 13 | Linear OOA(2202, 202, F2, 8, 45) (dual of [(202, 8), 1414, 46]-NRT-code) | [i] | ||
| 14 | Linear OOA(2203, 203, F2, 8, 45) (dual of [(203, 8), 1421, 46]-NRT-code) | [i] | ||