Information on Result #649317
Linear OA(27100, 116, F27, 79) (dual of [116, 16, 80]-code), using construction X applied to AG(F,13P) ⊂ AG(F,25P) based on
- linear OA(2789, 93, F27, 79) (dual of [93, 4, 80]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2777, 93, F27, 67) (dual of [93, 16, 68]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2711, 23, F27, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- Reed–Solomon code RS(16,27) [i]
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), 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(27100, 58, F27, 2, 79) (dual of [(58, 2), 16, 80]-NRT-code) | [i] | OOA Folding | |