Information on Result #647620
Linear OA(2598, 290, F25, 56) (dual of [290, 192, 57]-code), using construction X applied to AG(F,230P) ⊂ AG(F,232P) based on
- linear OA(2597, 287, F25, 56) (dual of [287, 190, 57]-code), using algebraic-geometric code AG(F,230P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OA(2595, 287, F25, 54) (dual of [287, 192, 55]-code), using algebraic-geometric code AG(F,232P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 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 OOA(2598, 145, F25, 2, 56) (dual of [(145, 2), 192, 57]-NRT-code) | [i] | OOA Folding |