Information on Result #653031
Linear OA(649, 82, F64, 7) (dual of [82, 73, 8]-code), using construction X applied to AG(F,71P) ⊂ AG(F,73P) based on
- linear OA(648, 79, F64, 7) (dual of [79, 71, 8]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(646, 79, F64, 5) (dual of [79, 73, 6]-code), using algebraic-geometric code AG(F,73P) [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(818, 164, F8, 7) (dual of [164, 146, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(6438, 4179, F64, 15) (dual of [4179, 4141, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6452, 262227, F64, 15) (dual of [262227, 262175, 16]-code) | [i] | ||
| 4 | Linear OA(6436, 4178, F64, 14) (dual of [4178, 4142, 15]-code) | [i] | ||
| 5 | Linear OA(6449, 262226, F64, 14) (dual of [262226, 262177, 15]-code) | [i] | ||
| 6 | Linear OA(6438, 4180, F64, 15) (dual of [4180, 4142, 16]-code) | [i] | ||
| 7 | Linear OA(6452, 262229, F64, 15) (dual of [262229, 262177, 16]-code) | [i] | ||
| 8 | Linear OA(6436, 4180, F64, 14) (dual of [4180, 4144, 15]-code) | [i] | ||
| 9 | Linear OA(6449, 262229, F64, 14) (dual of [262229, 262180, 15]-code) | [i] | ||