Information on Result #1173174
Linear OOA(2128, 66, F2, 8, 49) (dual of [(66, 8), 400, 50]-NRT-code), using extracting embedded OOA based on digital (79, 128, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 64, 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(2128, 66, F2, 8, 48) (dual of [(66, 8), 400, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2128, 66, F2, 8, 47) (dual of [(66, 8), 400, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(2128, 66, F2, 8, 46) (dual of [(66, 8), 400, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(2136, 67, F2, 8, 49) (dual of [(67, 8), 400, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2129, 66, F2, 8, 49) (dual of [(66, 8), 399, 50]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2131, 66, F2, 8, 49) (dual of [(66, 8), 397, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(2133, 66, F2, 8, 49) (dual of [(66, 8), 395, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(2135, 66, F2, 8, 49) (dual of [(66, 8), 393, 50]-NRT-code) | [i] | ||
| 9 | Linear OOA(2153, 71, F2, 8, 49) (dual of [(71, 8), 415, 50]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2154, 72, F2, 8, 49) (dual of [(72, 8), 422, 50]-NRT-code) | [i] | ||
| 11 | Linear OOA(2155, 73, F2, 8, 49) (dual of [(73, 8), 429, 50]-NRT-code) | [i] | ||
| 12 | Linear OOA(2156, 74, F2, 8, 49) (dual of [(74, 8), 436, 50]-NRT-code) | [i] | ||
| 13 | Linear OOA(2157, 75, F2, 8, 49) (dual of [(75, 8), 443, 50]-NRT-code) | [i] | ||
| 14 | Linear OOA(2158, 76, F2, 8, 49) (dual of [(76, 8), 450, 50]-NRT-code) | [i] | ||
| 15 | Linear OOA(2160, 77, F2, 8, 49) (dual of [(77, 8), 456, 50]-NRT-code) | [i] | ||
| 16 | Linear OOA(2161, 78, F2, 8, 49) (dual of [(78, 8), 463, 50]-NRT-code) | [i] | ||