Information on Result #605734

Linear OA(277, 8, F27, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,27)), using dual of repetition code with length 8

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:

ResultThis
result
only
Method
1Linear OA(27105, 761, F27, 39) (dual of [761, 656, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(27103, 761, F27, 38) (dual of [761, 658, 39]-code) [i]
3Linear OA(27101, 761, F27, 37) (dual of [761, 660, 38]-code) [i]
4Linear OA(2799, 761, F27, 36) (dual of [761, 662, 37]-code) [i]
5Linear OA(2781, 753, F27, 31) (dual of [753, 672, 32]-code) [i]
6Linear OA(2779, 753, F27, 30) (dual of [753, 674, 31]-code) [i]
7Linear OA(27108, 19707, F27, 30) (dual of [19707, 19599, 31]-code) [i]
8Linear OA(2765, 754, F27, 23) (dual of [754, 689, 24]-code) [i]
9Linear OA(2787, 19708, F27, 23) (dual of [19708, 19621, 24]-code) [i]
10Linear OA(27109, 531466, F27, 23) (dual of [531466, 531357, 24]-code) [i]
11Linear OA(2784, 19707, F27, 22) (dual of [19707, 19623, 23]-code) [i]
12Linear OA(27105, 531465, F27, 22) (dual of [531465, 531360, 23]-code) [i]
13Linear OA(2758, 745, F27, 22) (dual of [745, 687, 23]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(2779, 19699, F27, 22) (dual of [19699, 19620, 23]-code) [i]
15Linear OA(27100, 531457, F27, 22) (dual of [531457, 531357, 23]-code) [i]
16Linear OA(2736, 738, F27, 15) (dual of [738, 702, 16]-code) [i]Construction X with Cyclic Codes
17Linear OA(2750, 19692, F27, 15) (dual of [19692, 19642, 16]-code) [i]
18Linear OA(2764, 531450, F27, 15) (dual of [531450, 531386, 16]-code) [i]
19Linear OA(2740, 738, F27, 17) (dual of [738, 698, 18]-code) [i]
20Linear OA(2728, 36, F27, 21) (dual of [36, 8, 22]-code) [i]
21Linear OA(2720, 19692, F27, 7) (dual of [19692, 19672, 8]-code) [i]Construction X4 with Cyclic Codes
22Linear OA(2714, 19692, F27, 5) (dual of [19692, 19678, 6]-code) [i]
23Linear OA(2717, 19691, F27, 6) (dual of [19691, 19674, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
24Linear OA(2711, 19691, F27, 4) (dual of [19691, 19680, 5]-code) [i]