Information on Result #1157317
Linear OOA(2131, 43, F2, 7, 72) (dual of [(43, 7), 170, 73]-NRT-code), using extracting embedded OOA based on digital (59, 131, 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(2131, 43, F2, 7, 71) (dual of [(43, 7), 170, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2131, 43, F2, 7, 70) (dual of [(43, 7), 170, 71]-NRT-code) | [i] | ||
| 3 | Linear OOA(2131, 43, F2, 7, 69) (dual of [(43, 7), 170, 70]-NRT-code) | [i] | ||
| 4 | Linear OOA(2131, 43, F2, 7, 68) (dual of [(43, 7), 170, 69]-NRT-code) | [i] | ||
| 5 | Linear OOA(2206, 76, F2, 7, 72) (dual of [(76, 7), 326, 73]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |