Information on Result #1075112
Linear OOA(2136, 66, F2, 4, 53) (dual of [(66, 4), 128, 54]-NRT-code), using extracting embedded OOA based on digital (83, 136, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 68, 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(2136, 66, F2, 4, 52) (dual of [(66, 4), 128, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2140, 67, F2, 4, 53) (dual of [(67, 4), 128, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2144, 68, F2, 4, 53) (dual of [(68, 4), 128, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(2148, 69, F2, 4, 53) (dual of [(69, 4), 128, 54]-NRT-code) | [i] | ||
| 5 | Linear OOA(2152, 70, F2, 4, 53) (dual of [(70, 4), 128, 54]-NRT-code) | [i] | ||
| 6 | Linear OOA(2156, 71, F2, 4, 53) (dual of [(71, 4), 128, 54]-NRT-code) | [i] | ||
| 7 | Linear OOA(2160, 72, F2, 4, 53) (dual of [(72, 4), 128, 54]-NRT-code) | [i] | ||
| 8 | Linear OOA(2137, 66, F2, 4, 53) (dual of [(66, 4), 127, 54]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2139, 66, F2, 4, 53) (dual of [(66, 4), 125, 54]-NRT-code) | [i] | ||
| 10 | Linear OOA(2163, 73, F2, 4, 53) (dual of [(73, 4), 129, 54]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2166, 74, F2, 4, 53) (dual of [(74, 4), 130, 54]-NRT-code) | [i] | ||
| 12 | Linear OOA(2167, 75, F2, 4, 53) (dual of [(75, 4), 133, 54]-NRT-code) | [i] | ||
| 13 | Linear OOA(2168, 76, F2, 4, 53) (dual of [(76, 4), 136, 54]-NRT-code) | [i] | ||
| 14 | Linear OOA(2170, 77, F2, 4, 53) (dual of [(77, 4), 138, 54]-NRT-code) | [i] | ||
| 15 | Linear OOA(2171, 78, F2, 4, 53) (dual of [(78, 4), 141, 54]-NRT-code) | [i] | ||
| 16 | Linear OOA(2165, 74, F2, 4, 53) (dual of [(74, 4), 131, 54]-NRT-code) | [i] | ||
| 17 | Linear OOA(2136, 33, F2, 7, 53) (dual of [(33, 7), 95, 54]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2136, 33, F2, 8, 53) (dual of [(33, 8), 128, 54]-NRT-code) | [i] | ||