Information on Result #671781
Linear OA(25632, 520, F256, 20) (dual of [520, 488, 21]-code), using (u, u+v)-construction based on
- linear OA(25611, 260, F256, 10) (dual of [260, 249, 11]-code), using
- construction X applied to AG(F,123P) ⊂ AG(F,124P) [i] based on
- linear OA(25610, 257, F256, 10) (dual of [257, 247, 11]-code or 257-arc in PG(9,256)), using algebraic-geometric code AG(F,123P) 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(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 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,123P) ⊂ AG(F,124P) [i] based on
- linear OA(25621, 260, F256, 20) (dual of [260, 239, 21]-code), using
- construction X applied to AG(F,118P) ⊂ AG(F,119P) [i] based on
- linear OA(25620, 257, F256, 20) (dual of [257, 237, 21]-code or 257-arc in PG(19,256)), using algebraic-geometric code AG(F,118P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(25618, 257, F256, 18) (dual of [257, 239, 19]-code or 257-arc in PG(17,256)), using algebraic-geometric code AG(F,119P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code) (see above)
- construction X applied to AG(F,118P) ⊂ AG(F,119P) [i] based on
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 | OA(12837, 520, S128, 20) | [i] | Discarding Parts of the Base for OAs | |