Information on Result #1844710
OA(3278, 344, S32, 44), using discarding parts of the base based on linear OA(6465, 344, F64, 44) (dual of [344, 279, 45]-code), using
- construction X applied to AG(F,296P) ⊂ AG(F,298P) [i] based on
- linear OA(6464, 341, F64, 44) (dual of [341, 277, 45]-code), using algebraic-geometric code AG(F,296P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- linear OA(6462, 341, F64, 42) (dual of [341, 279, 43]-code), using algebraic-geometric code AG(F,298P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Arbitrary.
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(3279, 345, S32, 44) | [i] | Code Embedding in Larger Space | |