Information on Result #647479
Linear OA(2585, 220, F25, 50) (dual of [220, 135, 51]-code), using construction X applied to AG(F,148P) ⊂ AG(F,159P) based on
- 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, using
- linear OA(2564, 199, F25, 39) (dual of [199, 135, 40]-code), using algebraic-geometric code AG(F,159P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2510, 21, F25, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,25)), using
- discarding factors / shortening the dual code based on linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using
- Reed–Solomon code RS(15,25) [i]
- discarding factors / shortening the dual code based on linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), 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(2585, 110, F25, 2, 50) (dual of [(110, 2), 135, 51]-NRT-code) | [i] | OOA Folding | |