Information on Result #1295584
Linear OA(8173, 553, F81, 42) (dual of [553, 480, 43]-code), using construction X applied to AG(F,507P) ⊂ AG(F,509P) based on
- linear OA(8172, 550, F81, 42) (dual of [550, 478, 43]-code), using algebraic-geometric code AG(F,507P) [i] based on function field F/F81 with g(F) = 30 and N(F) ≥ 551, using
- linear OA(8170, 550, F81, 40) (dual of [550, 480, 41]-code), using algebraic-geometric code AG(F,509P) [i] based on function field F/F81 with g(F) = 30 and N(F) ≥ 551 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: 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(8174, 584, F81, 42) (dual of [584, 510, 43]-code) | [i] | Varšamov–Edel Lengthening | |