Information on Result #1175093
Linear OOA(2251, 52, F2, 8, 166) (dual of [(52, 8), 165, 167]-NRT-code), using extracting embedded OOA based on digital (85, 251, 52)-net over F2, using
- net from sequence [i] based on digital (85, 51)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 3 places with degree 6 [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(2251, 52, F2, 8, 165) (dual of [(52, 8), 165, 166]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2251, 52, F2, 8, 164) (dual of [(52, 8), 165, 165]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 52, F2, 8, 163) (dual of [(52, 8), 165, 164]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 52, F2, 8, 162) (dual of [(52, 8), 165, 163]-NRT-code) | [i] | ||