Information on Result #651618
Linear OA(3270, 124, F32, 57) (dual of [124, 54, 58]-code), using construction X applied to AG(F,61P) ⊂ AG(F,64P) based on
- linear OA(3268, 119, F32, 57) (dual of [119, 51, 58]-code), using algebraic-geometric code AG(F,61P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3265, 119, F32, 54) (dual of [119, 54, 55]-code), using algebraic-geometric code AG(F,64P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(322, 5, F32, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), 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 | OA(1688, 124, S16, 57) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3270, 62, F32, 2, 57) (dual of [(62, 2), 54, 58]-NRT-code) | [i] | OOA Folding | |