Information on Result #647226
Linear OA(2597, 208, F25, 68) (dual of [208, 111, 69]-code), using construction X applied to AG(F,130P) ⊂ AG(F,135P) based on
- linear OA(2593, 199, F25, 68) (dual of [199, 106, 69]-code), using algebraic-geometric code AG(F,130P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2588, 199, F25, 63) (dual of [199, 111, 64]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(254, 9, F25, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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(2597, 104, F25, 2, 68) (dual of [(104, 2), 111, 69]-NRT-code) | [i] | OOA Folding | |