Information on Result #652619
Linear OA(32104, 157, F32, 74) (dual of [157, 53, 75]-code), using construction X applied to AG(F,44P) ⊂ AG(F,63P) based on
- linear OA(3285, 119, F32, 74) (dual of [119, 34, 75]-code), using algebraic-geometric code AG(F,44P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3266, 119, F32, 55) (dual of [119, 53, 56]-code), using algebraic-geometric code AG(F,63P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3219, 38, F32, 18) (dual of [38, 19, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3219, 43, F32, 18) (dual of [43, 24, 19]-code), using
- algebraic-geometric code AG(F,24P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3219, 43, F32, 18) (dual of [43, 24, 19]-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(32104, 78, F32, 2, 74) (dual of [(78, 2), 52, 75]-NRT-code) | [i] | OOA Folding | |