Information on Result #602974

Linear OA(87, 7, F8, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,8)), 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:

ResultThis
result
only
Method
1Linear OA(846, 49, F8, 41) (dual of [49, 3, 42]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(846, 49, F8, 41) (dual of [49, 3, 42]-code) [i]
3Linear OA(846, 49, F8, 41) (dual of [49, 3, 42]-code) [i]
4Linear OA(846, 49, F8, 41) (dual of [49, 3, 42]-code) [i]
5Linear OA(846, 49, F8, 41) (dual of [49, 3, 42]-code) [i]
6Linear OA(843, 49, F8, 34) (dual of [49, 6, 35]-code) [i]
7Linear OA(843, 49, F8, 34) (dual of [49, 6, 35]-code) [i]
8Linear OA(843, 49, F8, 34) (dual of [49, 6, 35]-code) [i]
9Linear OA(843, 49, F8, 34) (dual of [49, 6, 35]-code) [i]
10Linear OA(8173, 32796, F8, 34) (dual of [32796, 32623, 35]-code) [i]
11Linear OA(8173, 32796, F8, 34) (dual of [32796, 32623, 35]-code) [i]
12Linear OA(8173, 32796, F8, 34) (dual of [32796, 32623, 35]-code) [i]
13Linear OA(8136, 32789, F8, 27) (dual of [32789, 32653, 28]-code) [i]
14Linear OA(8136, 32789, F8, 27) (dual of [32789, 32653, 28]-code) [i]
15Linear OA(8131, 32789, F8, 26) (dual of [32789, 32658, 27]-code) [i]
16Linear OA(8131, 32789, F8, 26) (dual of [32789, 32658, 27]-code) [i]
17Linear OA(8126, 32789, F8, 25) (dual of [32789, 32663, 26]-code) [i]
18Linear OA(8126, 32789, F8, 25) (dual of [32789, 32663, 26]-code) [i]
19Linear OA(8168, 2097173, F8, 25) (dual of [2097173, 2097005, 26]-code) [i]
20Linear OA(8168, 2097173, F8, 25) (dual of [2097173, 2097005, 26]-code) [i]
21Linear OA(8120, 32790, F8, 23) (dual of [32790, 32670, 24]-code) [i]
22Linear OA(8120, 32790, F8, 23) (dual of [32790, 32670, 24]-code) [i]
23Linear OA(8160, 2097174, F8, 23) (dual of [2097174, 2097014, 24]-code) [i]
24Linear OA(8160, 2097174, F8, 23) (dual of [2097174, 2097014, 24]-code) [i]
25Linear OA(899, 32782, F8, 20) (dual of [32782, 32683, 21]-code) [i](u, u−v, u+v+w)-Construction
26Linear OA(8133, 2097166, F8, 20) (dual of [2097166, 2097033, 21]-code) [i]
27Linear OA(889, 32782, F8, 18) (dual of [32782, 32693, 19]-code) [i]
28Linear OA(8119, 2097166, F8, 18) (dual of [2097166, 2097047, 19]-code) [i]
29Linear OA(883, 32783, F8, 17) (dual of [32783, 32700, 18]-code) [i]
30Linear OA(897, 262159, F8, 17) (dual of [262159, 262062, 18]-code) [i]
31Linear OA(8111, 2097167, F8, 17) (dual of [2097167, 2097056, 18]-code) [i]