Information on Result #1141075
Linear OOA(2182, 49, F2, 6, 112) (dual of [(49, 6), 112, 113]-NRT-code), using extracting embedded OOA based on digital (70, 182, 49)-net over F2, using
- net from sequence [i] based on digital (70, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, and 1 place with degree 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
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(2182, 49, F2, 6, 111) (dual of [(49, 6), 112, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2182, 49, F2, 6, 110) (dual of [(49, 6), 112, 111]-NRT-code) | [i] | ||
| 3 | Linear OOA(2182, 49, F2, 6, 109) (dual of [(49, 6), 112, 110]-NRT-code) | [i] | ||
| 4 | Linear OOA(2182, 49, F2, 6, 108) (dual of [(49, 6), 112, 109]-NRT-code) | [i] | ||
| 5 | Linear OOA(2257, 69, F2, 6, 112) (dual of [(69, 6), 157, 113]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2259, 70, F2, 6, 112) (dual of [(70, 6), 161, 113]-NRT-code) | [i] | ||