Information on Result #603537
Linear OA(277, 7, F27, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,27)), using complete OA / dual of code with only one code word
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, 764, F27, 40) (dual of [764, 654, 41]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(27110, 764, F27, 40) (dual of [764, 654, 41]-code) | [i] | ||
| 3 | Linear OA(27110, 764, F27, 40) (dual of [764, 654, 41]-code) | [i] | ||
| 4 | Linear OA(27110, 764, F27, 40) (dual of [764, 654, 41]-code) | [i] | ||
| 5 | Linear OA(2780, 757, F27, 29) (dual of [757, 677, 30]-code) | [i] | ||
| 6 | Linear OA(2780, 757, F27, 29) (dual of [757, 677, 30]-code) | [i] | ||
| 7 | Linear OA(2780, 757, F27, 29) (dual of [757, 677, 30]-code) | [i] | ||
| 8 | Linear OA(27108, 19711, F27, 29) (dual of [19711, 19603, 30]-code) | [i] | ||
| 9 | Linear OA(27108, 19711, F27, 29) (dual of [19711, 19603, 30]-code) | [i] | ||
| 10 | Linear OA(27108, 19711, F27, 29) (dual of [19711, 19603, 30]-code) | [i] | ||
| 11 | Linear OA(27103, 19710, F27, 27) (dual of [19710, 19607, 28]-code) | [i] | ||
| 12 | Linear OA(27103, 19710, F27, 27) (dual of [19710, 19607, 28]-code) | [i] | ||
| 13 | Linear OA(2771, 750, F27, 26) (dual of [750, 679, 27]-code) | [i] | ||
| 14 | Linear OA(2771, 750, F27, 26) (dual of [750, 679, 27]-code) | [i] | ||
| 15 | Linear OA(2796, 19704, F27, 26) (dual of [19704, 19608, 27]-code) | [i] | ||
| 16 | Linear OA(2796, 19704, F27, 26) (dual of [19704, 19608, 27]-code) | [i] | ||
| 17 | Linear OA(2764, 751, F27, 23) (dual of [751, 687, 24]-code) | [i] | ||
| 18 | Linear OA(2764, 751, F27, 23) (dual of [751, 687, 24]-code) | [i] | ||
| 19 | Linear OA(2786, 19705, F27, 23) (dual of [19705, 19619, 24]-code) | [i] | ||
| 20 | Linear OA(2786, 19705, F27, 23) (dual of [19705, 19619, 24]-code) | [i] | ||
| 21 | Linear OA(27108, 531463, F27, 23) (dual of [531463, 531355, 24]-code) | [i] | ||
| 22 | Linear OA(27108, 531463, F27, 23) (dual of [531463, 531355, 24]-code) | [i] | ||
| 23 | Linear OA(2762, 750, F27, 22) (dual of [750, 688, 23]-code) | [i] | ||
| 24 | Linear OA(2762, 750, F27, 22) (dual of [750, 688, 23]-code) | [i] | ||
| 25 | Linear OA(2783, 19704, F27, 22) (dual of [19704, 19621, 23]-code) | [i] | ||
| 26 | Linear OA(2783, 19704, F27, 22) (dual of [19704, 19621, 23]-code) | [i] | ||
| 27 | Linear OA(27104, 531462, F27, 22) (dual of [531462, 531358, 23]-code) | [i] | ||
| 28 | Linear OA(27104, 531462, F27, 22) (dual of [531462, 531358, 23]-code) | [i] | ||
| 29 | Linear OA(2780, 19705, F27, 21) (dual of [19705, 19625, 22]-code) | [i] | ||
| 30 | Linear OA(2780, 19705, F27, 21) (dual of [19705, 19625, 22]-code) | [i] | ||
| 31 | Linear OA(27100, 531463, F27, 21) (dual of [531463, 531363, 22]-code) | [i] | ||
| 32 | Linear OA(27100, 531463, F27, 21) (dual of [531463, 531363, 22]-code) | [i] | ||
| 33 | Linear OA(2776, 19704, F27, 20) (dual of [19704, 19628, 21]-code) | [i] | ||
| 34 | Linear OA(2795, 531462, F27, 20) (dual of [531462, 531367, 21]-code) | [i] | ||
| 35 | Linear OA(2772, 19705, F27, 19) (dual of [19705, 19633, 20]-code) | [i] | ||
| 36 | Linear OA(2790, 531463, F27, 19) (dual of [531463, 531373, 20]-code) | [i] | ||
| 37 | Linear OA(2752, 743, F27, 20) (dual of [743, 691, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 38 | Linear OA(2771, 19697, F27, 20) (dual of [19697, 19626, 21]-code) | [i] | ||
| 39 | Linear OA(2790, 531455, F27, 20) (dual of [531455, 531365, 21]-code) | [i] | ||
| 40 | Linear OA(2748, 743, F27, 18) (dual of [743, 695, 19]-code) | [i] | ||
| 41 | Linear OA(2765, 19697, F27, 18) (dual of [19697, 19632, 19]-code) | [i] | ||
| 42 | Linear OA(2782, 531455, F27, 18) (dual of [531455, 531373, 19]-code) | [i] | ||
| 43 | Linear OA(2745, 744, F27, 17) (dual of [744, 699, 18]-code) | [i] | ||
| 44 | Linear OA(2761, 19698, F27, 17) (dual of [19698, 19637, 18]-code) | [i] | ||
| 45 | Linear OA(2777, 531456, F27, 17) (dual of [531456, 531379, 18]-code) | [i] | ||
| 46 | Linear OA(2743, 743, F27, 16) (dual of [743, 700, 17]-code) | [i] | ||
| 47 | Linear OA(2758, 19697, F27, 16) (dual of [19697, 19639, 17]-code) | [i] | ||
| 48 | Linear OA(2773, 531455, F27, 16) (dual of [531455, 531382, 17]-code) | [i] | ||