Information on Result #645848
Linear OA(2523, 70, F25, 17) (dual of [70, 47, 18]-code), using construction X applied to AG(F,47P) ⊂ AG(F,50P) based on
- linear OA(2521, 65, F25, 17) (dual of [65, 44, 18]-code), using algebraic-geometric code AG(F,47P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2518, 65, F25, 14) (dual of [65, 47, 15]-code), using algebraic-geometric code AG(F,50P) [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 OA(546, 140, F5, 17) (dual of [140, 94, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(2589, 695, F25, 35) (dual of [695, 606, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2587, 695, F25, 34) (dual of [695, 608, 35]-code) | [i] | ||
| 4 | Linear OA(2589, 698, F25, 35) (dual of [698, 609, 36]-code) | [i] | ||
| 5 | Linear OA(2590, 701, F25, 35) (dual of [701, 611, 36]-code) | [i] | ||
| 6 | Linear OA(2591, 704, F25, 35) (dual of [704, 613, 36]-code) | [i] | ||
| 7 | Linear OA(2587, 698, F25, 34) (dual of [698, 611, 35]-code) | [i] | ||
| 8 | Linear OA(2588, 701, F25, 34) (dual of [701, 613, 35]-code) | [i] | ||
| 9 | Linear OA(2589, 704, F25, 34) (dual of [704, 615, 35]-code) | [i] | ||
| 10 | Linear OOA(2523, 35, F25, 2, 17) (dual of [(35, 2), 47, 18]-NRT-code) | [i] | OOA Folding | |