Information on Result #653181
Linear OA(6419, 106, F64, 15) (dual of [106, 87, 16]-code), using construction X applied to AG(F,87P) ⊂ AG(F,89P) based on
- linear OA(6418, 103, F64, 15) (dual of [103, 85, 16]-code), using algebraic-geometric code AG(F,87P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6416, 103, F64, 13) (dual of [103, 87, 14]-code), using algebraic-geometric code AG(F,89P) [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 | Linear OA(838, 212, F8, 15) (dual of [212, 174, 16]-code) | [i] | Trace Code | |
| 2 | OA(3223, 106, S32, 15) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6480, 4203, F64, 31) (dual of [4203, 4123, 32]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6478, 4202, F64, 30) (dual of [4202, 4124, 31]-code) | [i] | ||
| 5 | Linear OA(6480, 4204, F64, 31) (dual of [4204, 4124, 32]-code) | [i] | ||
| 6 | Linear OA(6478, 4204, F64, 30) (dual of [4204, 4126, 31]-code) | [i] | ||