Information on Result #652441
Linear OA(3282, 148, F32, 57) (dual of [148, 66, 58]-code), using construction X applied to AG(F,61P) ⊂ AG(F,76P) 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(3253, 119, F32, 42) (dual of [119, 66, 43]-code), using algebraic-geometric code AG(F,76P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3214, 29, F32, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), 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 | Linear OOA(3282, 74, F32, 2, 57) (dual of [(74, 2), 66, 58]-NRT-code) | [i] | OOA Folding | |