Information on Result #1158093
Linear OOA(2186, 66, F2, 7, 78) (dual of [(66, 7), 276, 79]-NRT-code), using extracting embedded OOA based on digital (108, 186, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 93, 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(2186, 66, F2, 7, 77) (dual of [(66, 7), 276, 78]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2186, 66, F2, 7, 76) (dual of [(66, 7), 276, 77]-NRT-code) | [i] | ||
| 3 | Linear OOA(2186, 66, F2, 7, 75) (dual of [(66, 7), 276, 76]-NRT-code) | [i] | ||
| 4 | Linear OOA(2193, 67, F2, 7, 78) (dual of [(67, 7), 276, 79]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2187, 66, F2, 7, 78) (dual of [(66, 7), 275, 79]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2189, 66, F2, 7, 78) (dual of [(66, 7), 273, 79]-NRT-code) | [i] | ||
| 7 | Linear OOA(2191, 66, F2, 7, 78) (dual of [(66, 7), 271, 79]-NRT-code) | [i] | ||