Information on Result #646822
Linear OA(2575, 152, F25, 54) (dual of [152, 77, 55]-code), using construction X applied to AG(F,92P) ⊂ AG(F,95P) based on
- linear OA(2573, 147, F25, 54) (dual of [147, 74, 55]-code), using algebraic-geometric code AG(F,92P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- linear OA(2570, 147, F25, 51) (dual of [147, 77, 52]-code), using algebraic-geometric code AG(F,95P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (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 OA(5150, 304, F5, 54) (dual of [304, 154, 55]-code) | [i] | Trace Code | |
| 2 | Linear OOA(2575, 76, F25, 2, 54) (dual of [(76, 2), 77, 55]-NRT-code) | [i] | OOA Folding | |