Information on Result #661417
Linear OA(16130, 536, F16, 60) (dual of [536, 406, 61]-code), using trace code based on linear OA(25665, 268, F256, 60) (dual of [268, 203, 61]-code), using
- construction X applied to AG(F,98P) ⊂ AG(F,101P) [i] based on
- linear OA(25660, 257, F256, 60) (dual of [257, 197, 61]-code or 257-arc in PG(59,256)), using algebraic-geometric code AG(F,98P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- linear OA(25654, 257, F256, 54) (dual of [257, 203, 55]-code or 257-arc in PG(53,256)), using algebraic-geometric code AG(F,101P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2565, 11, F256, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), 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 OOA(16130, 268, F16, 2, 60) (dual of [(268, 2), 406, 61]-NRT-code) | [i] | OOA Folding | |