Information on Result #650831
Linear OA(3267, 106, F32, 57) (dual of [106, 39, 58]-code), using construction X applied to AG(F,45P) ⊂ AG(F,47P) based on
- linear OA(3266, 103, F32, 57) (dual of [103, 37, 58]-code), using algebraic-geometric code AG(F,45P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- linear OA(3264, 103, F32, 55) (dual of [103, 39, 56]-code), using algebraic-geometric code AG(F,47P) [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104 (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(1684, 106, S16, 57) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3267, 53, F32, 2, 57) (dual of [(53, 2), 39, 58]-NRT-code) | [i] | OOA Folding | |