Information on Result #653339
Linear OA(6421, 130, F64, 15) (dual of [130, 109, 16]-code), using construction X applied to AG(F,111P) ⊂ AG(F,113P) based on
- linear OA(6420, 127, F64, 15) (dual of [127, 107, 16]-code), using algebraic-geometric code AG(F,111P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6418, 127, F64, 13) (dual of [127, 109, 14]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128 (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: 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 OA(6482, 4227, F64, 31) (dual of [4227, 4145, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6480, 4226, F64, 30) (dual of [4226, 4146, 31]-code) | [i] | ||
| 3 | Linear OA(6482, 4228, F64, 31) (dual of [4228, 4146, 32]-code) | [i] | ||
| 4 | Linear OA(6480, 4228, F64, 30) (dual of [4228, 4148, 31]-code) | [i] | ||