Information on Result #1093596
Linear OOA(2168, 74, F2, 4, 54) (dual of [(74, 4), 128, 55]-NRT-code), using (u, u+v)-construction based on
- linear OOA(230, 8, F2, 4, 27) (dual of [(8, 4), 2, 28]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(26, 2, F2, 4, 6) (dual of [(2, 4), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(4;2,2) [i]
- repeating each code word 4 times [i] based on linear OOA(26, 2, F2, 4, 6) (dual of [(2, 4), 2, 7]-NRT-code), using
- linear OOA(2138, 66, F2, 4, 54) (dual of [(66, 4), 126, 55]-NRT-code), using
- extracting embedded OOA [i] based on digital (84, 138, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 69, 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, 69, 33)-net over F4, using
- extracting embedded OOA [i] based on digital (84, 138, 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(2169, 74, F2, 4, 54) (dual of [(74, 4), 127, 55]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2168, 37, F2, 8, 54) (dual of [(37, 8), 128, 55]-NRT-code) | [i] | OOA Folding | |