Information on Result #652850
Linear OA(32101, 175, F32, 61) (dual of [175, 74, 62]-code), using construction X applied to AG(F,57P) ⊂ AG(F,84P) 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(3245, 119, F32, 34) (dual of [119, 74, 35]-code), using algebraic-geometric code AG(F,84P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3229, 56, F32, 26) (dual of [56, 27, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3229, 63, F32, 26) (dual of [63, 34, 27]-code), using
- algebraic-geometric code AG(F,36P) [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(3229, 63, F32, 26) (dual of [63, 34, 27]-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(32101, 87, F32, 2, 61) (dual of [(87, 2), 73, 62]-NRT-code) | [i] | OOA Folding | |