Information on Result #603297

Linear OA(167, 7, F16, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,16)), 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(16121, 4124, F16, 34) (dual of [4124, 4003, 35]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(16121, 4124, F16, 34) (dual of [4124, 4003, 35]-code) [i]
3Linear OA(16121, 4124, F16, 34) (dual of [4124, 4003, 35]-code) [i]
4Linear OA(1696, 4117, F16, 27) (dual of [4117, 4021, 28]-code) [i]
5Linear OA(1696, 4117, F16, 27) (dual of [4117, 4021, 28]-code) [i]
6Linear OA(1693, 4117, F16, 26) (dual of [4117, 4024, 27]-code) [i]
7Linear OA(1693, 4117, F16, 26) (dual of [4117, 4024, 27]-code) [i]
8Linear OA(16125, 1048597, F16, 23) (dual of [1048597, 1048472, 24]-code) [i]
9Linear OA(16125, 1048597, F16, 23) (dual of [1048597, 1048472, 24]-code) [i]
10Linear OA(16120, 1048597, F16, 22) (dual of [1048597, 1048477, 23]-code) [i]
11Linear OA(16120, 1048597, F16, 22) (dual of [1048597, 1048477, 23]-code) [i]
12Linear OA(1668, 4110, F16, 20) (dual of [4110, 4042, 21]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(16104, 1048590, F16, 20) (dual of [1048590, 1048486, 21]-code) [i]
14Linear OA(1665, 4110, F16, 19) (dual of [4110, 4045, 20]-code) [i]
15Linear OA(1699, 1048590, F16, 19) (dual of [1048590, 1048491, 20]-code) [i]
16Linear OA(1662, 4110, F16, 18) (dual of [4110, 4048, 19]-code) [i]
17Linear OA(1694, 1048590, F16, 18) (dual of [1048590, 1048496, 19]-code) [i]
18Linear OA(1658, 4110, F16, 17) (dual of [4110, 4052, 18]-code) [i]
19Linear OA(1688, 1048590, F16, 17) (dual of [1048590, 1048502, 18]-code) [i]
20Linear OA(1674, 131086, F16, 16) (dual of [131086, 131012, 17]-code) [i]