Information on Result #650185
Linear OA(3251, 78, F32, 45) (dual of [78, 27, 46]-code), using construction X applied to AG(F,29P) ⊂ AG(F,31P) based on
- linear OA(3250, 75, F32, 45) (dual of [75, 25, 46]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3248, 75, F32, 43) (dual of [75, 27, 44]-code), using algebraic-geometric code AG(F,31P) [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 OOA(3251, 39, F32, 2, 45) (dual of [(39, 2), 27, 46]-NRT-code) | [i] | OOA Folding | |