Information on Result #655926
Linear OA(8180, 732, F81, 43) (dual of [732, 652, 44]-code), using construction X applied to AG(F,685P) ⊂ AG(F,687P) based on
- linear OA(8179, 729, F81, 43) (dual of [729, 650, 44]-code), using algebraic-geometric code AG(F,685P) [i] based on function field F/F81 with g(F) = 36 and N(F) ≥ 730, using
- the Hermitian function field over F81 [i]
- linear OA(8177, 729, F81, 41) (dual of [729, 652, 42]-code), using algebraic-geometric code AG(F,687P) [i] based on function field F/F81 with g(F) = 36 and N(F) ≥ 730 (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 OOA(8180, 366, F81, 2, 43) (dual of [(366, 2), 652, 44]-NRT-code) | [i] | OOA Folding | |