Information on Result #617544
Linear OA(2719, 28, F27, 19) (dual of [28, 9, 20]-code or 28-arc in PG(18,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2793, 757, F27, 39) (dual of [757, 664, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2791, 757, F27, 38) (dual of [757, 666, 39]-code) | [i] | ||
| 3 | Linear OA(385, 112, F3, 39) (dual of [112, 27, 40]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OOA(3141, 84, F3, 2, 79) (dual of [(84, 2), 27, 80]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 5 | Linear OOA(3197, 112, F3, 2, 119) (dual of [(112, 2), 27, 120]-NRT-code) | [i] | ||
| 6 | Linear OOA(3225, 84, F3, 3, 139) (dual of [(84, 3), 27, 140]-NRT-code) | [i] | ||
| 7 | Linear OA(27106, 785, F27, 39) (dual of [785, 679, 40]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(27103, 785, F27, 38) (dual of [785, 682, 39]-code) | [i] | ||
| 9 | Linear OA(2724, 34, F27, 19) (dual of [34, 10, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |