Information on Result #1295151
Linear OA(8165, 246, F81, 55) (dual of [246, 181, 56]-code), using construction X applied to AG(F,187P) ⊂ AG(F,189P) based on
- linear OA(8164, 243, F81, 55) (dual of [243, 179, 56]-code), using algebraic-geometric code AG(F,187P) [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244, using
- linear OA(8162, 243, F81, 53) (dual of [243, 181, 54]-code), using algebraic-geometric code AG(F,189P) [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: 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 | OA(2787, 246, S27, 55) | [i] | Discarding Parts of the Base for OAs | |