Information on Result #645808
Linear OA(2563, 70, F25, 57) (dual of [70, 7, 58]-code), using construction X applied to AG(F,7P) ⊂ AG(F,10P) based on
- linear OA(2561, 65, F25, 57) (dual of [65, 4, 58]-code), using algebraic-geometric code AG(F,7P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2558, 65, F25, 54) (dual of [65, 7, 55]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2563, 35, F25, 2, 57) (dual of [(35, 2), 7, 58]-NRT-code) | [i] | OOA Folding | |