Information on Result #1140517
Linear OOA(2137, 43, F2, 6, 78) (dual of [(43, 6), 121, 79]-NRT-code), using extracting embedded OOA based on digital (59, 137, 43)-net over F2, using
- net from sequence [i] based on digital (59, 42)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 54, N(F) = 42, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, 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(2137, 43, F2, 6, 77) (dual of [(43, 6), 121, 78]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2137, 43, F2, 6, 76) (dual of [(43, 6), 121, 77]-NRT-code) | [i] | ||
| 3 | Linear OOA(2137, 43, F2, 6, 75) (dual of [(43, 6), 121, 76]-NRT-code) | [i] | ||
| 4 | Linear OOA(2215, 76, F2, 6, 78) (dual of [(76, 6), 241, 79]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |