Information on Result #650237
Linear OA(3225, 78, F32, 19) (dual of [78, 53, 20]-code), using construction X applied to AG(F,55P) ⊂ AG(F,57P) based on
- linear OA(3224, 75, F32, 19) (dual of [75, 51, 20]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3222, 75, F32, 17) (dual of [75, 53, 18]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(3299, 1102, F32, 39) (dual of [1102, 1003, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3297, 1103, F32, 38) (dual of [1103, 1006, 39]-code) | [i] | ||
| 3 | Linear OA(3299, 1105, F32, 39) (dual of [1105, 1006, 40]-code) | [i] | ||
| 4 | Linear OA(3297, 1105, F32, 38) (dual of [1105, 1008, 39]-code) | [i] | ||
| 5 | Linear OOA(3225, 39, F32, 2, 19) (dual of [(39, 2), 53, 20]-NRT-code) | [i] | OOA Folding | |