Information on Result #652819
Linear OA(3299, 171, F32, 61) (dual of [171, 72, 62]-code), using construction X applied to AG(F,57P) ⊂ AG(F,82P) based on
- linear OA(3272, 119, F32, 61) (dual of [119, 47, 62]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3247, 119, F32, 36) (dual of [119, 72, 37]-code), using algebraic-geometric code AG(F,82P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3227, 52, F32, 24) (dual of [52, 25, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3227, 63, F32, 24) (dual of [63, 36, 25]-code), using
- algebraic-geometric code AG(F,38P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3227, 63, F32, 24) (dual of [63, 36, 25]-code), 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(3299, 85, F32, 2, 61) (dual of [(85, 2), 71, 62]-NRT-code) | [i] | OOA Folding | |