Information on Result #649171
Linear OA(2777, 110, F27, 59) (dual of [110, 33, 60]-code), using construction X applied to AG(F,33P) ⊂ AG(F,42P) based on
- linear OA(2769, 93, F27, 59) (dual of [93, 24, 60]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2760, 93, F27, 50) (dual of [93, 33, 51]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(278, 17, F27, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), 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 OOA(2777, 55, F27, 2, 59) (dual of [(55, 2), 33, 60]-NRT-code) | [i] | OOA Folding | |