Information on Result #1293896
Linear OA(4938, 94, F49, 34) (dual of [94, 56, 35]-code), using construction X applied to AG(F,56P) ⊂ AG(F,58P) based on
- linear OA(4937, 91, F49, 34) (dual of [91, 54, 35]-code), using algebraic-geometric code AG(F,56P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OA(4935, 91, F49, 32) (dual of [91, 56, 33]-code), using algebraic-geometric code AG(F,58P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 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 | Linear OA(4951, 131, F49, 34) (dual of [131, 80, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(4952, 144, F49, 34) (dual of [144, 92, 35]-code) | [i] | ||