Information on Result #1110417
Linear OOA(2132, 66, F2, 5, 51) (dual of [(66, 5), 198, 52]-NRT-code), using extracting embedded OOA based on digital (81, 132, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 66, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, 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(2132, 66, F2, 5, 50) (dual of [(66, 5), 198, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2132, 66, F2, 5, 49) (dual of [(66, 5), 198, 50]-NRT-code) | [i] | ||
| 3 | Linear OOA(2137, 67, F2, 5, 51) (dual of [(67, 5), 198, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2142, 68, F2, 5, 51) (dual of [(68, 5), 198, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(2147, 69, F2, 5, 51) (dual of [(69, 5), 198, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(2152, 70, F2, 5, 51) (dual of [(70, 5), 198, 52]-NRT-code) | [i] | ||
| 7 | Linear OOA(2157, 71, F2, 5, 51) (dual of [(71, 5), 198, 52]-NRT-code) | [i] | ||
| 8 | Linear OOA(2133, 66, F2, 5, 51) (dual of [(66, 5), 197, 52]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2135, 66, F2, 5, 51) (dual of [(66, 5), 195, 52]-NRT-code) | [i] | ||
| 10 | Linear OOA(2159, 72, F2, 5, 51) (dual of [(72, 5), 201, 52]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2160, 73, F2, 5, 51) (dual of [(73, 5), 205, 52]-NRT-code) | [i] | ||
| 12 | Linear OOA(2161, 74, F2, 5, 51) (dual of [(74, 5), 209, 52]-NRT-code) | [i] | ||
| 13 | Linear OOA(2162, 75, F2, 5, 51) (dual of [(75, 5), 213, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(2163, 76, F2, 5, 51) (dual of [(76, 5), 217, 52]-NRT-code) | [i] | ||
| 15 | Linear OOA(2165, 77, F2, 5, 51) (dual of [(77, 5), 220, 52]-NRT-code) | [i] | ||
| 16 | Linear OOA(2166, 78, F2, 5, 51) (dual of [(78, 5), 224, 52]-NRT-code) | [i] | ||