Information on Result #657799
Linear OA(25611, 264, F256, 8) (dual of [264, 253, 9]-code), using construction X applied to AG(F,124P) ⊂ AG(F,126P) based on
- linear OA(2568, 257, F256, 8) (dual of [257, 249, 9]-code or 257-arc in PG(7,256)), using algebraic-geometric code AG(F,124P) 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(2564, 257, F256, 4) (dual of [257, 253, 5]-code or 257-arc in PG(3,256)), using algebraic-geometric code AG(F,126P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2563, 7, F256, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,256) or 7-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), 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 OA(25644, 65801, F256, 17) (dual of [65801, 65757, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25642, 65800, F256, 16) (dual of [65800, 65758, 17]-code) | [i] | ||
| 3 | Linear OA(25644, 65802, F256, 17) (dual of [65802, 65758, 18]-code) | [i] | ||
| 4 | Linear OA(25642, 65802, F256, 16) (dual of [65802, 65760, 17]-code) | [i] | ||