Information on Result #648858
Linear OA(2730, 98, F27, 18) (dual of [98, 68, 19]-code), using construction X applied to AG(F,74P) ⊂ AG(F,77P) based on
- linear OA(2728, 93, F27, 18) (dual of [93, 65, 19]-code), using algebraic-geometric code AG(F,74P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2725, 93, F27, 15) (dual of [93, 68, 16]-code), using algebraic-geometric code AG(F,77P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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 OA(27100, 827, F27, 37) (dual of [827, 727, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2798, 827, F27, 36) (dual of [827, 729, 37]-code) | [i] | ||
| 3 | Linear OA(27100, 830, F27, 37) (dual of [830, 730, 38]-code) | [i] | ||
| 4 | Linear OA(2798, 830, F27, 36) (dual of [830, 732, 37]-code) | [i] | ||
| 5 | Linear OOA(2730, 49, F27, 2, 18) (dual of [(49, 2), 68, 19]-NRT-code) | [i] | OOA Folding | |