Information on Result #654930
Linear OA(8181, 174, F81, 73) (dual of [174, 93, 74]-code), using construction X applied to AG(F,97P) ⊂ AG(F,99P) based on
- linear OA(8180, 171, F81, 73) (dual of [171, 91, 74]-code), using algebraic-geometric code AG(F,97P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8178, 171, F81, 71) (dual of [171, 93, 72]-code), using algebraic-geometric code AG(F,99P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (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 | OA(27108, 174, S27, 73) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8181, 87, F81, 2, 73) (dual of [(87, 2), 93, 74]-NRT-code) | [i] | OOA Folding | |