Information on Result #649311
Linear OA(2751, 114, F27, 31) (dual of [114, 63, 32]-code), using construction X applied to AG(F,61P) ⊂ AG(F,72P) based on
- linear OA(2741, 93, F27, 31) (dual of [93, 52, 32]-code), using algebraic-geometric code AG(F,61P) [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(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(2751, 57, F27, 2, 31) (dual of [(57, 2), 63, 32]-NRT-code) | [i] | OOA Folding | |