Information on Result #652840
Linear OA(3295, 173, F32, 56) (dual of [173, 78, 57]-code), using construction X applied to AG(F,62P) ⊂ AG(F,88P) based on
- linear OA(3267, 119, F32, 56) (dual of [119, 52, 57]-code), using algebraic-geometric code AG(F,62P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3241, 119, F32, 30) (dual of [119, 78, 31]-code), using algebraic-geometric code AG(F,88P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3228, 54, F32, 25) (dual of [54, 26, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3228, 63, F32, 25) (dual of [63, 35, 26]-code), using
- algebraic-geometric code AG(F,37P) [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(3228, 63, F32, 25) (dual of [63, 35, 26]-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(3295, 86, F32, 2, 56) (dual of [(86, 2), 77, 57]-NRT-code) | [i] | OOA Folding |