Information on Result #649290
Linear OA(2772, 114, F27, 52) (dual of [114, 42, 53]-code), using construction X applied to AG(F,40P) ⊂ AG(F,51P) based on
- linear OA(2762, 93, F27, 52) (dual of [93, 31, 53]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2751, 93, F27, 41) (dual of [93, 42, 42]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2710, 21, F27, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- Reed–Solomon code RS(17,27) [i]
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), 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(2772, 57, F27, 2, 52) (dual of [(57, 2), 42, 53]-NRT-code) | [i] | OOA Folding | |