Information on Result #645849
Linear OA(2522, 70, F25, 16) (dual of [70, 48, 17]-code), using construction X applied to AG(F,48P) ⊂ AG(F,51P) based on
- linear OA(2520, 65, F25, 16) (dual of [65, 45, 17]-code), using algebraic-geometric code AG(F,48P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2517, 65, F25, 13) (dual of [65, 48, 14]-code), using algebraic-geometric code AG(F,51P) [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(544, 140, F5, 16) (dual of [140, 96, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(2584, 695, F25, 33) (dual of [695, 611, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2582, 695, F25, 32) (dual of [695, 613, 33]-code) | [i] | ||
| 4 | Linear OA(2584, 698, F25, 33) (dual of [698, 614, 34]-code) | [i] | ||
| 5 | Linear OA(2585, 701, F25, 33) (dual of [701, 616, 34]-code) | [i] | ||
| 6 | Linear OA(2586, 704, F25, 33) (dual of [704, 618, 34]-code) | [i] | ||
| 7 | Linear OA(2582, 698, F25, 32) (dual of [698, 616, 33]-code) | [i] | ||
| 8 | Linear OA(2583, 701, F25, 32) (dual of [701, 618, 33]-code) | [i] | ||
| 9 | Linear OA(2584, 704, F25, 32) (dual of [704, 620, 33]-code) | [i] | ||
| 10 | Linear OOA(2522, 35, F25, 2, 16) (dual of [(35, 2), 48, 17]-NRT-code) | [i] | OOA Folding | |