Information on Result #660891
Linear OA(9140, 744, F9, 53) (dual of [744, 604, 54]-code), using trace code based on linear OA(8170, 372, F81, 53) (dual of [372, 302, 54]-code), using
- construction X applied to AG(F,315P) ⊂ AG(F,317P) [i] based on
- linear OA(8169, 369, F81, 53) (dual of [369, 300, 54]-code), using algebraic-geometric code AG(F,315P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8167, 369, F81, 51) (dual of [369, 302, 52]-code), using algebraic-geometric code AG(F,317P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (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: 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(9141, 745, F9, 53) (dual of [745, 604, 54]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9140, 372, F9, 2, 53) (dual of [(372, 2), 604, 54]-NRT-code) | [i] | OOA Folding | |