Information on Result #1158579
Linear OOA(2215, 380, F2, 7, 38) (dual of [(380, 7), 2445, 39]-NRT-code), using extracting embedded OOA based on digital (177, 215, 380)-net over F2, using
- trace code for nets [i] based on digital (5, 43, 76)-net over F32, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, 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(2215, 380, F2, 7, 37) (dual of [(380, 7), 2445, 38]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 381, F2, 7, 38) (dual of [(381, 7), 2445, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2216, 380, F2, 7, 38) (dual of [(380, 7), 2444, 39]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2217, 380, F2, 7, 38) (dual of [(380, 7), 2443, 39]-NRT-code) | [i] | ||
| 5 | Linear OOA(2218, 380, F2, 7, 38) (dual of [(380, 7), 2442, 39]-NRT-code) | [i] | ||
| 6 | Linear OOA(2219, 380, F2, 7, 38) (dual of [(380, 7), 2441, 39]-NRT-code) | [i] | ||
| 7 | Linear OOA(2221, 380, F2, 7, 38) (dual of [(380, 7), 2439, 39]-NRT-code) | [i] | ||