Information on Result #654699
Linear OA(8160, 118, F81, 57) (dual of [118, 58, 58]-code), using construction X applied to AG(F,57P) ⊂ AG(F,59P) based on
- linear OA(8159, 115, F81, 57) (dual of [115, 56, 58]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8157, 115, F81, 55) (dual of [115, 58, 56]-code), using algebraic-geometric code AG(F,59P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (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(9120, 236, F9, 57) (dual of [236, 116, 58]-code) | [i] | Trace Code | |