Information on Result #653417
Linear OA(6458, 179, F64, 50) (dual of [179, 121, 51]-code), using construction X applied to AG(F,125P) ⊂ AG(F,127P) based on
- linear OA(6457, 176, F64, 50) (dual of [176, 119, 51]-code), using algebraic-geometric code AG(F,125P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6455, 176, F64, 48) (dual of [176, 121, 49]-code), using algebraic-geometric code AG(F,127P) [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(4174, 537, F4, 50) (dual of [537, 363, 51]-code) | [i] | Trace Code | |
| 2 | Linear OA(8116, 358, F8, 50) (dual of [358, 242, 51]-code) | [i] | ||
| 3 | OA(3270, 179, S32, 50) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OOA(6458, 89, F64, 2, 50) (dual of [(89, 2), 120, 51]-NRT-code) | [i] | OOA Folding | |