Information on Result #1173997
Linear OOA(2187, 51, F2, 8, 107) (dual of [(51, 8), 221, 108]-NRT-code), using extracting embedded OOA based on digital (80, 187, 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(2187, 51, F2, 8, 106) (dual of [(51, 8), 221, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 51, F2, 8, 105) (dual of [(51, 8), 221, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(2187, 51, F2, 8, 104) (dual of [(51, 8), 221, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 51, F2, 8, 103) (dual of [(51, 8), 221, 104]-NRT-code) | [i] | ||