Information on Result #1093584
Linear OOA(2214, 266, F2, 4, 42) (dual of [(266, 4), 850, 43]-NRT-code), using (u, u+v)-construction based on
- linear OOA(222, 6, F2, 4, 21) (dual of [(6, 4), 2, 22]-NRT-code), using
- repeating each code word 2 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 2 times [i] based on linear OOA(210, 3, F2, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
- linear OOA(2192, 260, F2, 4, 42) (dual of [(260, 4), 848, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (150, 192, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 48, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 48, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (150, 192, 260)-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(2214, 133, F2, 8, 42) (dual of [(133, 8), 850, 43]-NRT-code) | [i] | OOA Folding | |