Information on Result #1156871
Linear OOA(288, 35, F2, 7, 40) (dual of [(35, 7), 157, 41]-NRT-code), using extracting embedded OOA based on digital (48, 88, 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(288, 35, F2, 7, 39) (dual of [(35, 7), 157, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(288, 35, F2, 7, 38) (dual of [(35, 7), 157, 39]-NRT-code) | [i] | ||
3 | Linear OOA(2219, 71, F2, 7, 80) (dual of [(71, 7), 278, 81]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(2222, 77, F2, 7, 80) (dual of [(77, 7), 317, 81]-NRT-code) | [i] | ||
5 | Linear OOA(2217, 70, F2, 7, 81) (dual of [(70, 7), 273, 82]-NRT-code) | [i] | ||
6 | Linear OOA(2220, 71, F2, 7, 81) (dual of [(71, 7), 277, 82]-NRT-code) | [i] | ||
7 | Linear OOA(2223, 77, F2, 7, 81) (dual of [(77, 7), 316, 82]-NRT-code) | [i] |