Information on Result #605491

Linear OA(166, 7, F16, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,16)), using dual of repetition code with length 7

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(1696, 4117, F16, 27) (dual of [4117, 4021, 28]-code) [i]
3Linear OA(1693, 4117, F16, 26) (dual of [4117, 4024, 27]-code) [i]
4Linear OA(1668, 4110, F16, 20) (dual of [4110, 4042, 21]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(16104, 1048590, F16, 20) (dual of [1048590, 1048486, 21]-code) [i]
6Linear OA(1665, 4110, F16, 19) (dual of [4110, 4045, 20]-code) [i]
7Linear OA(1699, 1048590, F16, 19) (dual of [1048590, 1048491, 20]-code) [i]
8Linear OA(1662, 4110, F16, 18) (dual of [4110, 4048, 19]-code) [i]
9Linear OA(1694, 1048590, F16, 18) (dual of [1048590, 1048496, 19]-code) [i]
10Linear OA(1643, 4104, F16, 13) (dual of [4104, 4061, 14]-code) [i]Construction X with Cyclic Codes
11Linear OA(1655, 65544, F16, 13) (dual of [65544, 65489, 14]-code) [i]
12Linear OA(1667, 1048584, F16, 13) (dual of [1048584, 1048517, 14]-code) [i]
13Linear OA(1635, 264, F16, 15) (dual of [264, 229, 16]-code) [i]
14Linear OA(1649, 4104, F16, 15) (dual of [4104, 4055, 16]-code) [i]
15Linear OA(1663, 65544, F16, 15) (dual of [65544, 65481, 16]-code) [i]
16Linear OA(1677, 1048584, F16, 15) (dual of [1048584, 1048507, 16]-code) [i]
17Linear OA(1652, 56, F16, 27) (dual of [56, 4, 28]-code) [i]
18Linear OA(16127, 1032, F16, 32) (dual of [1032, 905, 33]-code) [i]
19Linear OA(16105, 112, F16, 69) (dual of [112, 7, 70]-code) [i]
20Linear OA(16106, 112, F16, 76) (dual of [112, 6, 77]-code) [i]
21Linear OA(16107, 112, F16, 83) (dual of [112, 5, 84]-code) [i]
22Linear OA(16108, 112, F16, 90) (dual of [112, 4, 91]-code) [i]
23Linear OA(1617, 1048583, F16, 4) (dual of [1048583, 1048566, 5]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes