Information on Result #1296410
Linear OA(25626, 329, F256, 20) (dual of [329, 303, 21]-code), using construction X applied to AG(F,299P) ⊂ AG(F,304P) based on
- linear OA(25622, 320, F256, 20) (dual of [320, 298, 21]-code), using algebraic-geometric code AG(F,299P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25617, 320, F256, 15) (dual of [320, 303, 16]-code), using algebraic-geometric code AG(F,304P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2564, 9, F256, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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 | OA(6435, 329, S64, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(12830, 329, S128, 20) | [i] | ||