Information on Result #649142
Linear OA(2745, 108, F27, 28) (dual of [108, 63, 29]-code), using construction X applied to AG(F,64P) ⊂ AG(F,72P) based on
- linear OA(2738, 93, F27, 28) (dual of [93, 55, 29]-code), using algebraic-geometric code AG(F,64P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2730, 93, F27, 20) (dual of [93, 63, 21]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(277, 15, F27, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), 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(2745, 54, F27, 2, 28) (dual of [(54, 2), 63, 29]-NRT-code) | [i] | OOA Folding | |