Information on Result #647405
Linear OA(2589, 216, F25, 56) (dual of [216, 127, 57]-code), using construction X applied to AG(F,142P) ⊂ AG(F,151P) based on
- linear OA(2581, 199, F25, 56) (dual of [199, 118, 57]-code), using algebraic-geometric code AG(F,142P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2572, 199, F25, 47) (dual of [199, 127, 48]-code), using algebraic-geometric code AG(F,151P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(258, 17, F25, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,25)), using
- discarding factors / shortening the dual code based on linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using
- Reed–Solomon code RS(17,25) [i]
- discarding factors / shortening the dual code based on linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), 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(2589, 108, F25, 2, 56) (dual of [(108, 2), 127, 57]-NRT-code) | [i] | OOA Folding | |