Information on Result #650343
Linear OA(3251, 100, F32, 43) (dual of [100, 49, 44]-code), using construction X applied to AG(F,53P) ⊂ AG(F,55P) based on
- linear OA(3250, 97, F32, 43) (dual of [97, 47, 44]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3248, 97, F32, 41) (dual of [97, 49, 42]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98 (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 | OA(1664, 100, S16, 43) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3251, 50, F32, 2, 43) (dual of [(50, 2), 49, 44]-NRT-code) | [i] | OOA Folding | |