Information on Result #648968
Linear OA(2742, 102, F27, 28) (dual of [102, 60, 29]-code), using construction X applied to AG(F,64P) ⊂ AG(F,69P) based on
- linear OA(2738, 93, F27, 28) (dual of [93, 55, 29]-code), using algebraic-geometric code AG(F,64P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2733, 93, F27, 23) (dual of [93, 60, 24]-code), using algebraic-geometric code AG(F,69P) [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(2742, 51, F27, 2, 28) (dual of [(51, 2), 60, 29]-NRT-code) | [i] | OOA Folding | |