Information on Result #1159251
Linear OOA(2257, 51, F2, 7, 177) (dual of [(51, 7), 100, 178]-NRT-code), using extracting embedded OOA based on digital (80, 257, 51)-net over F2, using
- net from sequence [i] based on digital (80, 50)-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 2 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(2257, 51, F2, 7, 176) (dual of [(51, 7), 100, 177]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 51, F2, 7, 175) (dual of [(51, 7), 100, 176]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 51, F2, 7, 174) (dual of [(51, 7), 100, 175]-NRT-code) | [i] | ||