Information on Result #1172803
Linear OOA(293, 34, F2, 8, 48) (dual of [(34, 8), 179, 49]-NRT-code), using extracting embedded OOA based on digital (45, 93, 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(293, 34, F2, 8, 47) (dual of [(34, 8), 179, 48]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(293, 34, F2, 8, 46) (dual of [(34, 8), 179, 47]-NRT-code) | [i] | ||
3 | Linear OOA(2237, 69, F2, 8, 96) (dual of [(69, 8), 315, 97]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(2243, 76, F2, 8, 96) (dual of [(76, 8), 365, 97]-NRT-code) | [i] | ||
5 | Linear OOA(2235, 68, F2, 8, 97) (dual of [(68, 8), 309, 98]-NRT-code) | [i] | ||
6 | Linear OOA(2238, 69, F2, 8, 97) (dual of [(69, 8), 314, 98]-NRT-code) | [i] | ||
7 | Linear OOA(2244, 76, F2, 8, 97) (dual of [(76, 8), 364, 98]-NRT-code) | [i] |