Information on Result #648854
Linear OA(2732, 98, F27, 20) (dual of [98, 66, 21]-code), using construction X applied to AG(F,72P) ⊂ AG(F,75P) based on
- 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, using
- linear OA(2727, 93, F27, 17) (dual of [93, 66, 18]-code), using algebraic-geometric code AG(F,75P) [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(27110, 827, F27, 41) (dual of [827, 717, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27108, 827, F27, 40) (dual of [827, 719, 41]-code) | [i] | ||
| 3 | Linear OA(27110, 830, F27, 41) (dual of [830, 720, 42]-code) | [i] | ||
| 4 | Linear OA(27108, 830, F27, 40) (dual of [830, 722, 41]-code) | [i] | ||
| 5 | Linear OA(27109, 833, F27, 40) (dual of [833, 724, 41]-code) | [i] | ||
| 6 | Linear OA(27110, 836, F27, 40) (dual of [836, 726, 41]-code) | [i] | ||
| 7 | Linear OOA(2732, 49, F27, 2, 20) (dual of [(49, 2), 66, 21]-NRT-code) | [i] | OOA Folding | |