Information on Result #648926
Linear OA(2784, 102, F27, 70) (dual of [102, 18, 71]-code), using construction X applied to AG(F,22P) ⊂ AG(F,27P) based on
- linear OA(2780, 93, F27, 70) (dual of [93, 13, 71]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2775, 93, F27, 65) (dual of [93, 18, 66]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(274, 9, F27, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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(2784, 51, F27, 2, 70) (dual of [(51, 2), 18, 71]-NRT-code) | [i] | OOA Folding | |