Information on Result #1156991
Linear OOA(2101, 35, F2, 7, 53) (dual of [(35, 7), 144, 54]-NRT-code), using extracting embedded OOA based on digital (48, 101, 35)-net over F2, using
- net from sequence [i] based on digital (48, 34)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 2 places with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, 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(2101, 35, F2, 7, 52) (dual of [(35, 7), 144, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2101, 35, F2, 7, 51) (dual of [(35, 7), 144, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2255, 70, F2, 7, 106) (dual of [(70, 7), 235, 107]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2258, 71, F2, 7, 106) (dual of [(71, 7), 239, 107]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 70, F2, 7, 107) (dual of [(70, 7), 234, 108]-NRT-code) | [i] | ||
| 6 | Linear OOA(2259, 71, F2, 7, 107) (dual of [(71, 7), 238, 108]-NRT-code) | [i] | ||