Information on Result #1172867
Linear OOA(2100, 34, F2, 8, 55) (dual of [(34, 8), 172, 56]-NRT-code), using extracting embedded OOA based on digital (45, 100, 34)-net over F2, using
- net from sequence [i] based on digital (45, 33)-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 1 place 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(2100, 34, F2, 8, 54) (dual of [(34, 8), 172, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2100, 34, F2, 8, 53) (dual of [(34, 8), 172, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(2255, 68, F2, 8, 110) (dual of [(68, 8), 289, 111]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2258, 69, F2, 8, 110) (dual of [(69, 8), 294, 111]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 68, F2, 8, 111) (dual of [(68, 8), 288, 112]-NRT-code) | [i] | ||
| 6 | Linear OOA(2259, 69, F2, 8, 111) (dual of [(69, 8), 293, 112]-NRT-code) | [i] | ||