Information on Result #650169
Linear OA(3259, 78, F32, 53) (dual of [78, 19, 54]-code), using construction X applied to AG(F,21P) ⊂ AG(F,23P) based on
- linear OA(3258, 75, F32, 53) (dual of [75, 17, 54]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3256, 75, F32, 51) (dual of [75, 19, 52]-code), using algebraic-geometric code AG(F,23P) [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(3259, 39, F32, 2, 53) (dual of [(39, 2), 19, 54]-NRT-code) | [i] | OOA Folding | |