Information on Result #603538
Linear OA(278, 8, F27, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,27)), 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(27105, 761, F27, 39) (dual of [761, 656, 40]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(27105, 761, F27, 39) (dual of [761, 656, 40]-code) | [i] | ||
| 3 | Linear OA(27105, 761, F27, 39) (dual of [761, 656, 40]-code) | [i] | ||
| 4 | Linear OA(27103, 761, F27, 38) (dual of [761, 658, 39]-code) | [i] | ||
| 5 | Linear OA(27103, 761, F27, 38) (dual of [761, 658, 39]-code) | [i] | ||
| 6 | Linear OA(27103, 761, F27, 38) (dual of [761, 658, 39]-code) | [i] | ||
| 7 | Linear OA(27101, 761, F27, 37) (dual of [761, 660, 38]-code) | [i] | ||
| 8 | Linear OA(27101, 761, F27, 37) (dual of [761, 660, 38]-code) | [i] | ||
| 9 | Linear OA(27101, 761, F27, 37) (dual of [761, 660, 38]-code) | [i] | ||
| 10 | Linear OA(2799, 761, F27, 36) (dual of [761, 662, 37]-code) | [i] | ||
| 11 | Linear OA(2799, 761, F27, 36) (dual of [761, 662, 37]-code) | [i] | ||
| 12 | Linear OA(2799, 761, F27, 36) (dual of [761, 662, 37]-code) | [i] | ||
| 13 | Linear OA(2781, 753, F27, 31) (dual of [753, 672, 32]-code) | [i] | ||
| 14 | Linear OA(2781, 753, F27, 31) (dual of [753, 672, 32]-code) | [i] | ||
| 15 | Linear OA(2779, 753, F27, 30) (dual of [753, 674, 31]-code) | [i] | ||
| 16 | Linear OA(2779, 753, F27, 30) (dual of [753, 674, 31]-code) | [i] | ||
| 17 | Linear OA(27108, 19707, F27, 30) (dual of [19707, 19599, 31]-code) | [i] | ||
| 18 | Linear OA(27108, 19707, F27, 30) (dual of [19707, 19599, 31]-code) | [i] | ||
| 19 | Linear OA(2775, 754, F27, 27) (dual of [754, 679, 28]-code) | [i] | ||
| 20 | Linear OA(2775, 754, F27, 27) (dual of [754, 679, 28]-code) | [i] | ||
| 21 | Linear OA(27101, 19708, F27, 27) (dual of [19708, 19607, 28]-code) | [i] | ||
| 22 | Linear OA(27101, 19708, F27, 27) (dual of [19708, 19607, 28]-code) | [i] | ||
| 23 | Linear OA(2773, 753, F27, 26) (dual of [753, 680, 27]-code) | [i] | ||
| 24 | Linear OA(2773, 753, F27, 26) (dual of [753, 680, 27]-code) | [i] | ||
| 25 | Linear OA(2798, 19707, F27, 26) (dual of [19707, 19609, 27]-code) | [i] | ||
| 26 | Linear OA(2798, 19707, F27, 26) (dual of [19707, 19609, 27]-code) | [i] | ||
| 27 | Linear OA(2771, 754, F27, 25) (dual of [754, 683, 26]-code) | [i] | ||
| 28 | Linear OA(2771, 754, F27, 25) (dual of [754, 683, 26]-code) | [i] | ||
| 29 | Linear OA(2795, 19708, F27, 25) (dual of [19708, 19613, 26]-code) | [i] | ||
| 30 | Linear OA(2795, 19708, F27, 25) (dual of [19708, 19613, 26]-code) | [i] | ||
| 31 | Linear OA(2765, 754, F27, 23) (dual of [754, 689, 24]-code) | [i] | ||
| 32 | Linear OA(2787, 19708, F27, 23) (dual of [19708, 19621, 24]-code) | [i] | ||
| 33 | Linear OA(27109, 531466, F27, 23) (dual of [531466, 531357, 24]-code) | [i] | ||
| 34 | Linear OA(2784, 19707, F27, 22) (dual of [19707, 19623, 23]-code) | [i] | ||
| 35 | Linear OA(27105, 531465, F27, 22) (dual of [531465, 531360, 23]-code) | [i] | ||
| 36 | Linear OA(2758, 745, F27, 22) (dual of [745, 687, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 37 | Linear OA(2779, 19699, F27, 22) (dual of [19699, 19620, 23]-code) | [i] | ||
| 38 | Linear OA(27100, 531457, F27, 22) (dual of [531457, 531357, 23]-code) | [i] | ||
| 39 | Linear OA(2753, 745, F27, 20) (dual of [745, 692, 21]-code) | [i] | ||
| 40 | Linear OA(2772, 19699, F27, 20) (dual of [19699, 19627, 21]-code) | [i] | ||
| 41 | Linear OA(2791, 531457, F27, 20) (dual of [531457, 531366, 21]-code) | [i] | ||
| 42 | Linear OA(2751, 746, F27, 19) (dual of [746, 695, 20]-code) | [i] | ||
| 43 | Linear OA(2769, 19700, F27, 19) (dual of [19700, 19631, 20]-code) | [i] | ||
| 44 | Linear OA(2787, 531458, F27, 19) (dual of [531458, 531371, 20]-code) | [i] | ||
| 45 | Linear OA(2749, 745, F27, 18) (dual of [745, 696, 19]-code) | [i] | ||
| 46 | Linear OA(2766, 19699, F27, 18) (dual of [19699, 19633, 19]-code) | [i] | ||
| 47 | Linear OA(2783, 531457, F27, 18) (dual of [531457, 531374, 19]-code) | [i] | ||