Information on Result #617404
Linear OA(277, 28, F27, 7) (dual of [28, 21, 8]-code or 28-arc in PG(6,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(2736, 758, F27, 15) (dual of [758, 722, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2750, 19712, F27, 15) (dual of [19712, 19662, 16]-code) | [i] | ||
| 3 | Linear OA(2764, 531470, F27, 15) (dual of [531470, 531406, 16]-code) | [i] | ||
| 4 | Linear OA(2734, 757, F27, 14) (dual of [757, 723, 15]-code) | [i] | ||
| 5 | Linear OA(2747, 19711, F27, 14) (dual of [19711, 19664, 15]-code) | [i] | ||
| 6 | Linear OA(2760, 531469, F27, 14) (dual of [531469, 531409, 15]-code) | [i] | ||
| 7 | Linear OA(2736, 760, F27, 15) (dual of [760, 724, 16]-code) | [i] | ||
| 8 | Linear OA(2750, 19714, F27, 15) (dual of [19714, 19664, 16]-code) | [i] | ||
| 9 | Linear OA(2734, 760, F27, 14) (dual of [760, 726, 15]-code) | [i] | ||
| 10 | Linear OA(2747, 19714, F27, 14) (dual of [19714, 19667, 15]-code) | [i] | ||
| 11 | Linear OA(2716, 756, F27, 7) (dual of [756, 740, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2763, 786, F27, 23) (dual of [786, 723, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(2764, 796, F27, 23) (dual of [796, 732, 24]-code) | [i] | ||
| 14 | Linear OA(2785, 19740, F27, 23) (dual of [19740, 19655, 24]-code) | [i] | ||
| 15 | Linear OA(2786, 19750, F27, 23) (dual of [19750, 19664, 24]-code) | [i] | ||
| 16 | Linear OA(27107, 531498, F27, 23) (dual of [531498, 531391, 24]-code) | [i] | ||
| 17 | Linear OA(27108, 531508, F27, 23) (dual of [531508, 531400, 24]-code) | [i] | ||
| 18 | Linear OA(2761, 785, F27, 22) (dual of [785, 724, 23]-code) | [i] | ||
| 19 | Linear OA(2762, 795, F27, 22) (dual of [795, 733, 23]-code) | [i] | ||
| 20 | Linear OA(2782, 19739, F27, 22) (dual of [19739, 19657, 23]-code) | [i] | ||
| 21 | Linear OA(2783, 19749, F27, 22) (dual of [19749, 19666, 23]-code) | [i] | ||
| 22 | Linear OA(27103, 531497, F27, 22) (dual of [531497, 531394, 23]-code) | [i] | ||
| 23 | Linear OA(27104, 531507, F27, 22) (dual of [531507, 531403, 23]-code) | [i] | ||
| 24 | Linear OA(2758, 786, F27, 21) (dual of [786, 728, 22]-code) | [i] | ||
| 25 | Linear OA(2759, 796, F27, 21) (dual of [796, 737, 22]-code) | [i] | ||
| 26 | Linear OA(2778, 19740, F27, 21) (dual of [19740, 19662, 22]-code) | [i] | ||
| 27 | Linear OA(2779, 19750, F27, 21) (dual of [19750, 19671, 22]-code) | [i] | ||
| 28 | Linear OA(2798, 531498, F27, 21) (dual of [531498, 531400, 22]-code) | [i] | ||
| 29 | Linear OA(2799, 531508, F27, 21) (dual of [531508, 531409, 22]-code) | [i] | ||
| 30 | Linear OA(2741, 786, F27, 15) (dual of [786, 745, 16]-code) | [i] | ||
| 31 | Linear OA(2755, 19740, F27, 15) (dual of [19740, 19685, 16]-code) | [i] | ||
| 32 | Linear OA(2769, 531498, F27, 15) (dual of [531498, 531429, 16]-code) | [i] | ||
| 33 | Linear OA(2738, 785, F27, 14) (dual of [785, 747, 15]-code) | [i] | ||
| 34 | Linear OA(2751, 19739, F27, 14) (dual of [19739, 19688, 15]-code) | [i] | ||
| 35 | Linear OA(2764, 531497, F27, 14) (dual of [531497, 531433, 15]-code) | [i] | ||
| 36 | Linear OA(2710, 32, F27, 7) (dual of [32, 22, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 37 | Linear OA(27110, 19712, F27, 35) (dual of [19712, 19602, 36]-code) | [i] | ||
| 38 | Linear OA(27104, 19712, F27, 33) (dual of [19712, 19608, 34]-code) | [i] | ||
| 39 | Linear OA(2798, 19712, F27, 31) (dual of [19712, 19614, 32]-code) | [i] | ||
| 40 | Linear OA(2792, 19712, F27, 29) (dual of [19712, 19620, 30]-code) | [i] | ||
| 41 | Linear OA(2786, 19712, F27, 27) (dual of [19712, 19626, 28]-code) | [i] | ||
| 42 | Linear OA(2780, 19712, F27, 25) (dual of [19712, 19632, 26]-code) | [i] | ||
| 43 | Linear OA(2774, 19712, F27, 23) (dual of [19712, 19638, 24]-code) | [i] | ||
| 44 | Linear OA(2768, 19712, F27, 21) (dual of [19712, 19644, 22]-code) | [i] | ||
| 45 | Linear OA(2762, 19712, F27, 19) (dual of [19712, 19650, 20]-code) | [i] | ||
| 46 | Linear OA(2756, 19712, F27, 17) (dual of [19712, 19656, 18]-code) | [i] | ||
| 47 | Linear OA(27104, 19711, F27, 34) (dual of [19711, 19607, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 48 | Linear OA(27101, 19711, F27, 33) (dual of [19711, 19610, 34]-code) | [i] | ||
| 49 | Linear OA(2798, 19711, F27, 32) (dual of [19711, 19613, 33]-code) | [i] | ||
| 50 | Linear OA(2795, 19711, F27, 31) (dual of [19711, 19616, 32]-code) | [i] | ||
| 51 | Linear OA(2792, 19711, F27, 30) (dual of [19711, 19619, 31]-code) | [i] | ||
| 52 | Linear OA(2789, 19711, F27, 29) (dual of [19711, 19622, 30]-code) | [i] | ||
| 53 | Linear OA(2786, 19711, F27, 28) (dual of [19711, 19625, 29]-code) | [i] | ||