Information on Result #645899
Linear OA(2523, 72, F25, 16) (dual of [72, 49, 17]-code), using construction X applied to AG(F,48P) ⊂ AG(F,52P) 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(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(253, 7, F25, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,25) or 7-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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, 144, F5, 16) (dual of [144, 98, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(2585, 697, F25, 33) (dual of [697, 612, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2583, 697, F25, 32) (dual of [697, 614, 33]-code) | [i] | ||
| 4 | Linear OA(2585, 700, F25, 33) (dual of [700, 615, 34]-code) | [i] | ||
| 5 | Linear OA(2586, 703, F25, 33) (dual of [703, 617, 34]-code) | [i] | ||
| 6 | Linear OA(2583, 700, F25, 32) (dual of [700, 617, 33]-code) | [i] | ||
| 7 | Linear OA(2584, 703, F25, 32) (dual of [703, 619, 33]-code) | [i] | ||
| 8 | Linear OOA(2523, 36, F25, 2, 16) (dual of [(36, 2), 49, 17]-NRT-code) | [i] | OOA Folding | |