Information on Result #649282
Linear OA(2780, 114, F27, 60) (dual of [114, 34, 61]-code), using construction X applied to AG(F,32P) ⊂ AG(F,43P) based on
- linear OA(2770, 93, F27, 60) (dual of [93, 23, 61]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2759, 93, F27, 49) (dual of [93, 34, 50]-code), using algebraic-geometric code AG(F,43P) [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(2780, 57, F27, 2, 60) (dual of [(57, 2), 34, 61]-NRT-code) | [i] | OOA Folding | |