Information on Result #1296235
Linear OA(25623, 323, F256, 20) (dual of [323, 300, 21]-code), using construction X applied to AG(F,299P) ⊂ AG(F,301P) 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(25620, 320, F256, 18) (dual of [320, 300, 19]-code), using algebraic-geometric code AG(F,301P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (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
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(1646, 646, F16, 20) (dual of [646, 600, 21]-code) | [i] | Trace Code | |
| 2 | OA(3237, 323, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6431, 323, S64, 20) | [i] | ||
| 4 | OA(12827, 323, S128, 20) | [i] | ||