Information on Result #1093603
Linear OOA(2243, 203, F2, 4, 57) (dual of [(203, 4), 569, 58]-NRT-code), using (u, u+v)-construction based on
- linear OOA(230, 8, F2, 4, 28) (dual of [(8, 4), 2, 29]-NRT-code), using
- 4 step truncation [i] based on linear OOA(234, 9, F2, 4, 32) (dual of [(9, 4), 2, 33]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(210, 3, F2, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;2,2) [i]
- repeating each code word 3 times [i] based on linear OOA(210, 3, F2, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
- 4 step truncation [i] based on linear OOA(234, 9, F2, 4, 32) (dual of [(9, 4), 2, 33]-NRT-code), using
- linear OOA(2213, 195, F2, 4, 57) (dual of [(195, 4), 567, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (156, 213, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 71, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- trace code for nets [i] based on digital (14, 71, 65)-net over F8, using
- extracting embedded OOA [i] based on digital (156, 213, 195)-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(2245, 203, F2, 4, 57) (dual of [(203, 4), 567, 58]-NRT-code) | [i] | OOA Duplication | |