Information on Result #652617
Linear OA(32106, 157, F32, 76) (dual of [157, 51, 77]-code), using construction X applied to AG(F,42P) ⊂ AG(F,61P) based on
- linear OA(3287, 119, F32, 76) (dual of [119, 32, 77]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- 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 (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(32106, 78, F32, 2, 76) (dual of [(78, 2), 50, 77]-NRT-code) | [i] | OOA Folding | |