Information on Result #654923
Linear OA(8121, 162, F81, 15) (dual of [162, 141, 16]-code), using construction X applied to AG(F,143P) ⊂ AG(F,145P) based on
- linear OA(8120, 159, F81, 15) (dual of [159, 139, 16]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- linear OA(8118, 159, F81, 13) (dual of [159, 141, 14]-code), using algebraic-geometric code AG(F,145P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160 (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(8182, 6724, F81, 31) (dual of [6724, 6642, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8180, 6723, F81, 30) (dual of [6723, 6643, 31]-code) | [i] | ||
| 3 | Linear OA(8182, 6725, F81, 31) (dual of [6725, 6643, 32]-code) | [i] | ||
| 4 | Linear OA(8180, 6725, F81, 30) (dual of [6725, 6645, 31]-code) | [i] | ||