Information on Result #1080289
Linear OOA(2147, 72, F2, 4, 47) (dual of [(72, 4), 141, 48]-NRT-code), using (u, u+v)-construction based on
- linear OOA(223, 6, F2, 4, 23) (dual of [(6, 4), 1, 24]-NRT-code), using
- dual of repetition NRT-code with length 6 [i]
- linear OOA(2124, 66, F2, 4, 47) (dual of [(66, 4), 140, 48]-NRT-code), using
- extracting embedded OOA [i] based on digital (77, 124, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 62, 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
- trace code for nets [i] based on digital (15, 62, 33)-net over F4, using
- extracting embedded OOA [i] based on digital (77, 124, 66)-net over F2, 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(2147, 72, F2, 4, 46) (dual of [(72, 4), 141, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2148, 72, F2, 4, 47) (dual of [(72, 4), 140, 48]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2149, 72, F2, 4, 47) (dual of [(72, 4), 139, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(2147, 36, F2, 8, 47) (dual of [(36, 8), 141, 48]-NRT-code) | [i] | OOA Folding | |