Information on Result #645850
Linear OA(2521, 70, F25, 15) (dual of [70, 49, 16]-code), using construction X applied to AG(F,49P) ⊂ AG(F,52P) based on
- linear OA(2519, 65, F25, 15) (dual of [65, 46, 16]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2516, 65, F25, 12) (dual of [65, 49, 13]-code), using algebraic-geometric code AG(F,52P) [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(542, 140, F5, 15) (dual of [140, 98, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(2579, 695, F25, 31) (dual of [695, 616, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25109, 15695, F25, 31) (dual of [15695, 15586, 32]-code) | [i] | ||
| 4 | Linear OA(2577, 695, F25, 30) (dual of [695, 618, 31]-code) | [i] | ||
| 5 | Linear OA(25106, 15695, F25, 30) (dual of [15695, 15589, 31]-code) | [i] | ||
| 6 | Linear OA(2579, 698, F25, 31) (dual of [698, 619, 32]-code) | [i] | ||
| 7 | Linear OA(2580, 701, F25, 31) (dual of [701, 621, 32]-code) | [i] | ||
| 8 | Linear OA(2581, 704, F25, 31) (dual of [704, 623, 32]-code) | [i] | ||
| 9 | Linear OA(25109, 15698, F25, 31) (dual of [15698, 15589, 32]-code) | [i] | ||
| 10 | Linear OA(25110, 15702, F25, 31) (dual of [15702, 15592, 32]-code) | [i] | ||
| 11 | Linear OA(2577, 698, F25, 30) (dual of [698, 621, 31]-code) | [i] | ||
| 12 | Linear OA(2578, 701, F25, 30) (dual of [701, 623, 31]-code) | [i] | ||
| 13 | Linear OA(25106, 15698, F25, 30) (dual of [15698, 15592, 31]-code) | [i] | ||
| 14 | Linear OA(25107, 15702, F25, 30) (dual of [15702, 15595, 31]-code) | [i] | ||
| 15 | Linear OA(25108, 15706, F25, 30) (dual of [15706, 15598, 31]-code) | [i] | ||
| 16 | Linear OOA(2521, 35, F25, 2, 15) (dual of [(35, 2), 49, 16]-NRT-code) | [i] | OOA Folding | |