Information on Result #653029
Linear OA(6410, 82, F64, 8) (dual of [82, 72, 9]-code), using construction X applied to AG(F,70P) ⊂ AG(F,72P) based on
- linear OA(649, 79, F64, 8) (dual of [79, 70, 9]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(647, 79, F64, 6) (dual of [79, 72, 7]-code), using algebraic-geometric code AG(F,72P) [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(820, 164, F8, 8) (dual of [164, 144, 9]-code) | [i] | Trace Code | |
| 2 | OA(3212, 82, S32, 8) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6443, 4179, F64, 17) (dual of [4179, 4136, 18]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6459, 262227, F64, 17) (dual of [262227, 262168, 18]-code) | [i] | ||
| 5 | Linear OA(6441, 4178, F64, 16) (dual of [4178, 4137, 17]-code) | [i] | ||
| 6 | Linear OA(6456, 262226, F64, 16) (dual of [262226, 262170, 17]-code) | [i] | ||
| 7 | Linear OA(6443, 4180, F64, 17) (dual of [4180, 4137, 18]-code) | [i] | ||
| 8 | Linear OA(6459, 262229, F64, 17) (dual of [262229, 262170, 18]-code) | [i] | ||
| 9 | Linear OA(6441, 4180, F64, 16) (dual of [4180, 4139, 17]-code) | [i] | ||
| 10 | Linear OA(6456, 262229, F64, 16) (dual of [262229, 262173, 17]-code) | [i] | ||