Information on Result #650377
Linear OA(3234, 100, F32, 26) (dual of [100, 66, 27]-code), using construction X applied to AG(F,70P) ⊂ AG(F,72P) based on
- linear OA(3233, 97, F32, 26) (dual of [97, 64, 27]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3231, 97, F32, 24) (dual of [97, 66, 25]-code), using algebraic-geometric code AG(F,72P) [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(1643, 100, S16, 26) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3234, 50, F32, 2, 26) (dual of [(50, 2), 66, 27]-NRT-code) | [i] | OOA Folding | |