Information on Result #1297026
Linear OA(16112, 650, F16, 52) (dual of [650, 538, 53]-code), using trace code based on linear OA(25656, 325, F256, 52) (dual of [325, 269, 53]-code), using
- construction X applied to AG(F,267P) ⊂ AG(F,270P) [i] based on
- linear OA(25654, 320, F256, 52) (dual of [320, 266, 53]-code), using algebraic-geometric code AG(F,267P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25651, 320, F256, 49) (dual of [320, 269, 50]-code), using algebraic-geometric code AG(F,270P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
Mode: 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(16113, 652, F16, 52) (dual of [652, 539, 53]-code) | [i] | Construction X with Varšamov Bound | |