Information on Result #647597
Linear OA(25109, 290, F25, 67) (dual of [290, 181, 68]-code), using construction X applied to AG(F,219P) ⊂ AG(F,221P) based on
- linear OA(25108, 287, F25, 67) (dual of [287, 179, 68]-code), using algebraic-geometric code AG(F,219P) [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- linear OA(25106, 287, F25, 65) (dual of [287, 181, 66]-code), using algebraic-geometric code AG(F,221P) [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(25109, 145, F25, 2, 67) (dual of [(145, 2), 181, 68]-NRT-code) | [i] | OOA Folding | |