Information on Result #655321
Linear OA(8165, 226, F81, 51) (dual of [226, 161, 52]-code), using construction X applied to AG(F,171P) ⊂ AG(F,173P) based on
- linear OA(8164, 223, F81, 51) (dual of [223, 159, 52]-code), using algebraic-geometric code AG(F,171P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- linear OA(8162, 223, F81, 49) (dual of [223, 161, 50]-code), using algebraic-geometric code AG(F,173P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224 (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, 452, F9, 51) (dual of [452, 322, 52]-code) | [i] | Trace Code | |
| 2 | OA(2787, 226, S27, 51) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8165, 113, F81, 2, 51) (dual of [(113, 2), 161, 52]-NRT-code) | [i] | OOA Folding | |