Information on Result #654819
Linear OA(8173, 162, F81, 67) (dual of [162, 89, 68]-code), using construction X applied to AG(F,91P) ⊂ AG(F,93P) based on
- linear OA(8172, 159, F81, 67) (dual of [159, 87, 68]-code), using algebraic-geometric code AG(F,91P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- linear OA(8170, 159, F81, 65) (dual of [159, 89, 66]-code), using algebraic-geometric code AG(F,93P) [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(9146, 324, F9, 67) (dual of [324, 178, 68]-code) | [i] | Trace Code | |