Information on Result #653191
Linear OA(6414, 106, F64, 10) (dual of [106, 92, 11]-code), using construction X applied to AG(F,92P) ⊂ AG(F,94P) based on
- linear OA(6413, 103, F64, 10) (dual of [103, 90, 11]-code), using algebraic-geometric code AG(F,92P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6411, 103, F64, 8) (dual of [103, 92, 9]-code), using algebraic-geometric code AG(F,94P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104 (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 | OA(3217, 106, S32, 10) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(6455, 4203, F64, 21) (dual of [4203, 4148, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6475, 262251, F64, 21) (dual of [262251, 262176, 22]-code) | [i] | ||
| 4 | Linear OA(6453, 4202, F64, 20) (dual of [4202, 4149, 21]-code) | [i] | ||
| 5 | Linear OA(6472, 262250, F64, 20) (dual of [262250, 262178, 21]-code) | [i] | ||
| 6 | Linear OA(6455, 4204, F64, 21) (dual of [4204, 4149, 22]-code) | [i] | ||
| 7 | Linear OA(6475, 262253, F64, 21) (dual of [262253, 262178, 22]-code) | [i] | ||
| 8 | Linear OA(6453, 4204, F64, 20) (dual of [4204, 4151, 21]-code) | [i] | ||
| 9 | Linear OA(6472, 262253, F64, 20) (dual of [262253, 262181, 21]-code) | [i] | ||