Information on Result #606863
Linear OA(2712, 28, F27, 12) (dual of [28, 16, 13]-code or 28-arc in PG(11,27)), using extended Reed–Solomon code RSe(16,27)
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(2761, 758, F27, 25) (dual of [758, 697, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2785, 19712, F27, 25) (dual of [19712, 19627, 26]-code) | [i] | ||
| 3 | Linear OA(27109, 531470, F27, 25) (dual of [531470, 531361, 26]-code) | [i] | ||
| 4 | Linear OA(2759, 757, F27, 24) (dual of [757, 698, 25]-code) | [i] | ||
| 5 | Linear OA(2782, 19711, F27, 24) (dual of [19711, 19629, 25]-code) | [i] | ||
| 6 | Linear OA(27105, 531469, F27, 24) (dual of [531469, 531364, 25]-code) | [i] | ||
| 7 | Linear OA(364, 112, F3, 25) (dual of [112, 48, 26]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OOA(3120, 84, F3, 2, 51) (dual of [(84, 2), 48, 52]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 9 | Linear OA(27103, 785, F27, 38) (dual of [785, 682, 39]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(27104, 795, F27, 38) (dual of [795, 691, 39]-code) | [i] | ||
| 11 | Linear OA(27100, 785, F27, 37) (dual of [785, 685, 38]-code) | [i] | ||
| 12 | Linear OA(27101, 795, F27, 37) (dual of [795, 694, 38]-code) | [i] | ||
| 13 | Linear OA(2798, 785, F27, 36) (dual of [785, 687, 37]-code) | [i] | ||
| 14 | Linear OA(2799, 795, F27, 36) (dual of [795, 696, 37]-code) | [i] | ||
| 15 | Linear OA(2769, 786, F27, 25) (dual of [786, 717, 26]-code) | [i] | ||
| 16 | Linear OA(2793, 19740, F27, 25) (dual of [19740, 19647, 26]-code) | [i] | ||
| 17 | Linear OA(2767, 785, F27, 24) (dual of [785, 718, 25]-code) | [i] | ||
| 18 | Linear OA(2790, 19739, F27, 24) (dual of [19739, 19649, 25]-code) | [i] | ||
| 19 | Linear OA(2793, 784, F27, 38) (dual of [784, 691, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 20 | Linear OA(2792, 782, F27, 38) (dual of [782, 690, 39]-code) | [i] | ||
| 21 | Linear OA(2795, 784, F27, 39) (dual of [784, 689, 40]-code) | [i] | ||
| 22 | Linear OA(2794, 782, F27, 39) (dual of [782, 688, 40]-code) | [i] | ||
| 23 | Linear OA(2797, 784, F27, 40) (dual of [784, 687, 41]-code) | [i] | ||
| 24 | Linear OA(2796, 782, F27, 40) (dual of [782, 686, 41]-code) | [i] | ||
| 25 | Linear OA(2799, 784, F27, 41) (dual of [784, 685, 42]-code) | [i] | ||
| 26 | Linear OA(2798, 782, F27, 41) (dual of [782, 684, 42]-code) | [i] | ||
| 27 | Linear OA(27101, 784, F27, 42) (dual of [784, 683, 43]-code) | [i] | ||
| 28 | Linear OA(27100, 782, F27, 42) (dual of [782, 682, 43]-code) | [i] | ||
| 29 | Linear OA(27103, 784, F27, 43) (dual of [784, 681, 44]-code) | [i] | ||
| 30 | Linear OA(27102, 782, F27, 43) (dual of [782, 680, 44]-code) | [i] | ||
| 31 | Linear OA(27105, 784, F27, 44) (dual of [784, 679, 45]-code) | [i] | ||
| 32 | Linear OA(27104, 782, F27, 44) (dual of [782, 678, 45]-code) | [i] | ||
| 33 | Linear OA(27107, 784, F27, 45) (dual of [784, 677, 46]-code) | [i] | ||