Information on Result #653487
Linear OA(6423, 179, F64, 15) (dual of [179, 156, 16]-code), using construction X applied to AG(F,160P) ⊂ AG(F,162P) based on
- linear OA(6422, 176, F64, 15) (dual of [176, 154, 16]-code), using algebraic-geometric code AG(F,160P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6420, 176, F64, 13) (dual of [176, 156, 14]-code), using algebraic-geometric code AG(F,162P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (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(6484, 4276, F64, 31) (dual of [4276, 4192, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6482, 4275, F64, 30) (dual of [4275, 4193, 31]-code) | [i] | ||
| 3 | Linear OA(6484, 4277, F64, 31) (dual of [4277, 4193, 32]-code) | [i] | ||
| 4 | Linear OA(6485, 4281, F64, 31) (dual of [4281, 4196, 32]-code) | [i] | ||
| 5 | Linear OA(6482, 4277, F64, 30) (dual of [4277, 4195, 31]-code) | [i] | ||
| 6 | Linear OA(6483, 4280, F64, 30) (dual of [4280, 4197, 31]-code) | [i] | ||
| 7 | Linear OOA(6423, 89, F64, 2, 15) (dual of [(89, 2), 155, 16]-NRT-code) | [i] | OOA Folding | |