Information on Result #646205
Linear OA(2528, 130, F25, 16) (dual of [130, 102, 17]-code), using construction X applied to AG(F,108P) ⊂ AG(F,111P) based on
- linear OA(2526, 125, F25, 16) (dual of [125, 99, 17]-code), using algebraic-geometric code AG(F,108P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OA(2523, 125, F25, 13) (dual of [125, 102, 14]-code), using algebraic-geometric code AG(F,111P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (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(2590, 755, F25, 33) (dual of [755, 665, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2588, 755, F25, 32) (dual of [755, 667, 33]-code) | [i] | ||
| 3 | Linear OA(2590, 758, F25, 33) (dual of [758, 668, 34]-code) | [i] | ||
| 4 | Linear OA(2588, 758, F25, 32) (dual of [758, 670, 33]-code) | [i] | ||
| 5 | Linear OOA(2528, 65, F25, 2, 16) (dual of [(65, 2), 102, 17]-NRT-code) | [i] | OOA Folding | |