Information on Result #1080253
Linear OOA(2223, 266, F2, 4, 44) (dual of [(266, 4), 841, 45]-NRT-code), using (u, u+v)-construction based on
- linear OOA(223, 6, F2, 4, 22) (dual of [(6, 4), 1, 23]-NRT-code), using
- strength reduction [i] 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]
- strength reduction [i] based on linear OOA(223, 6, F2, 4, 23) (dual of [(6, 4), 1, 24]-NRT-code), using
- linear OOA(2200, 260, F2, 4, 44) (dual of [(260, 4), 840, 45]-NRT-code), using
- extracting embedded OOA [i] based on digital (156, 200, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 50, 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, 50, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (156, 200, 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(2224, 266, F2, 4, 44) (dual of [(266, 4), 840, 45]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2223, 133, F2, 8, 44) (dual of [(133, 8), 841, 45]-NRT-code) | [i] | OOA Folding | |