Information on Result #647323
Linear OA(2588, 212, F25, 57) (dual of [212, 124, 58]-code), using construction X applied to AG(F,141P) ⊂ AG(F,148P) based on
- linear OA(2582, 199, F25, 57) (dual of [199, 117, 58]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2575, 199, F25, 50) (dual of [199, 124, 51]-code), using algebraic-geometric code AG(F,148P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(256, 13, F25, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), 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(2588, 106, F25, 2, 57) (dual of [(106, 2), 124, 58]-NRT-code) | [i] | OOA Folding | |