Information on Result #653021
Linear OA(6414, 82, F64, 12) (dual of [82, 68, 13]-code), using construction X applied to AG(F,66P) ⊂ AG(F,68P) based on
- linear OA(6413, 79, F64, 12) (dual of [79, 66, 13]-code), using algebraic-geometric code AG(F,66P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6411, 79, F64, 10) (dual of [79, 68, 11]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (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(828, 164, F8, 12) (dual of [164, 136, 13]-code) | [i] | Trace Code | |
| 2 | OA(3217, 82, S32, 12) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6463, 4179, F64, 25) (dual of [4179, 4116, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6487, 262227, F64, 25) (dual of [262227, 262140, 26]-code) | [i] | ||
| 5 | Linear OA(6461, 4178, F64, 24) (dual of [4178, 4117, 25]-code) | [i] | ||
| 6 | Linear OA(6484, 262226, F64, 24) (dual of [262226, 262142, 25]-code) | [i] | ||
| 7 | Linear OA(6463, 4180, F64, 25) (dual of [4180, 4117, 26]-code) | [i] | ||
| 8 | Linear OA(6487, 262229, F64, 25) (dual of [262229, 262142, 26]-code) | [i] | ||
| 9 | Linear OA(6461, 4180, F64, 24) (dual of [4180, 4119, 25]-code) | [i] | ||
| 10 | Linear OA(6484, 262229, F64, 24) (dual of [262229, 262145, 25]-code) | [i] | ||