Information on Result #654717
Linear OA(8151, 118, F81, 48) (dual of [118, 67, 49]-code), using construction X applied to AG(F,66P) ⊂ AG(F,68P) based on
- linear OA(8150, 115, F81, 48) (dual of [115, 65, 49]-code), using algebraic-geometric code AG(F,66P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8148, 115, F81, 46) (dual of [115, 67, 47]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (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: 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 OA(9102, 236, F9, 48) (dual of [236, 134, 49]-code) | [i] | Trace Code | |
| 2 | OA(2768, 118, S27, 48) | [i] | Discarding Parts of the Base for OAs | |