Information on Result #1292626
Linear OA(27110, 275, F27, 69) (dual of [275, 165, 70]-code), using construction X applied to AG(F,200P) ⊂ AG(F,203P) based on
- linear OA(27108, 270, F27, 69) (dual of [270, 162, 70]-code), using algebraic-geometric code AG(F,200P) [i] based on function field F/F27 with g(F) = 39 and N(F) ≥ 271, using
- linear OA(27105, 270, F27, 66) (dual of [270, 165, 67]-code), using algebraic-geometric code AG(F,203P) [i] based on function field F/F27 with g(F) = 39 and N(F) ≥ 271 (see above)
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
Mode: 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 OOA(27110, 137, F27, 2, 69) (dual of [(137, 2), 164, 70]-NRT-code) | [i] | OOA Folding | |