Information on Result #654963
Linear OA(8165, 174, F81, 57) (dual of [174, 109, 58]-code), using construction X applied to AG(F,113P) ⊂ AG(F,115P) based on
- linear OA(8164, 171, F81, 57) (dual of [171, 107, 58]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8162, 171, F81, 55) (dual of [171, 109, 56]-code), using algebraic-geometric code AG(F,115P) [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 | Linear OA(9130, 348, F9, 57) (dual of [348, 218, 58]-code) | [i] | Trace Code | |
| 2 | OA(2787, 174, S27, 57) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8165, 87, F81, 2, 57) (dual of [(87, 2), 109, 58]-NRT-code) | [i] | OOA Folding | |