Information on Result #609759

Linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using hyperoval in PG(2, 16)

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(1617, 532, F16, 7) (dual of [532, 515, 8]-code) [i](u, u+v)-Construction
2Linear OA(1622, 4115, F16, 7) (dual of [4115, 4093, 8]-code) [i]
3Linear OA(1629, 131092, F16, 7) (dual of [131092, 131063, 8]-code) [i]
4Linear OA(1634, 1048595, F16, 7) (dual of [1048595, 1048561, 8]-code) [i]
5Linear OA(1619, 4114, F16, 6) (dual of [4114, 4095, 7]-code) [i]
6Linear OA(1625, 131090, F16, 6) (dual of [131090, 131065, 7]-code) [i]
7Linear OA(1629, 1048594, F16, 6) (dual of [1048594, 1048565, 7]-code) [i]
8Linear OA(1622, 4117, F16, 7) (dual of [4117, 4095, 8]-code) [i]
9Linear OA(1629, 131094, F16, 7) (dual of [131094, 131065, 8]-code) [i]
10Linear OA(1634, 1048599, F16, 7) (dual of [1048599, 1048565, 8]-code) [i]
11Linear OA(1619, 4117, F16, 6) (dual of [4117, 4098, 7]-code) [i]
12Linear OA(1625, 131094, F16, 6) (dual of [131094, 131069, 7]-code) [i]
13Linear OA(1629, 1048599, F16, 6) (dual of [1048599, 1048570, 7]-code) [i]
14Linear OA(1660, 1048619, F16, 11) (dual of [1048619, 1048559, 12]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(1636, 1048612, F16, 7) (dual of [1048612, 1048576, 8]-code) [i]
16Linear OA(16124, 1048595, F16, 25) (dual of [1048595, 1048471, 26]-code) [i]Construction X with Cyclic Codes
17Linear OA(16114, 1048595, F16, 23) (dual of [1048595, 1048481, 24]-code) [i]
18Linear OA(16104, 1048595, F16, 21) (dual of [1048595, 1048491, 22]-code) [i]
19Linear OA(1694, 1048595, F16, 19) (dual of [1048595, 1048501, 20]-code) [i]
20Linear OA(1684, 1048595, F16, 17) (dual of [1048595, 1048511, 18]-code) [i]
21Linear OA(1674, 1048595, F16, 15) (dual of [1048595, 1048521, 16]-code) [i]
22Linear OA(1664, 1048595, F16, 13) (dual of [1048595, 1048531, 14]-code) [i]
23Linear OA(1654, 1048595, F16, 11) (dual of [1048595, 1048541, 12]-code) [i]
24Linear OA(1644, 1048595, F16, 9) (dual of [1048595, 1048551, 10]-code) [i]
25Linear OA(1689, 1048594, F16, 19) (dual of [1048594, 1048505, 20]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
26Linear OA(1684, 1048594, F16, 18) (dual of [1048594, 1048510, 19]-code) [i]
27Linear OA(1679, 1048594, F16, 17) (dual of [1048594, 1048515, 18]-code) [i]
28Linear OA(16124, 65554, F16, 32) (dual of [65554, 65430, 33]-code) [i]
29Linear OA(16120, 65554, F16, 31) (dual of [65554, 65434, 32]-code) [i]
30Linear OA(16116, 65554, F16, 30) (dual of [65554, 65438, 31]-code) [i]
31Linear OA(16112, 65554, F16, 29) (dual of [65554, 65442, 30]-code) [i]
32Linear OA(16108, 65554, F16, 28) (dual of [65554, 65446, 29]-code) [i]
33Linear OA(16104, 65554, F16, 27) (dual of [65554, 65450, 28]-code) [i]
34Linear OA(16100, 65554, F16, 26) (dual of [65554, 65454, 27]-code) [i]
35Linear OA(1696, 65554, F16, 25) (dual of [65554, 65458, 26]-code) [i]
36Linear OA(1692, 65554, F16, 24) (dual of [65554, 65462, 25]-code) [i]
37Linear OA(1688, 65554, F16, 23) (dual of [65554, 65466, 24]-code) [i]
38Linear OA(1684, 65554, F16, 22) (dual of [65554, 65470, 23]-code) [i]
39Linear OA(1680, 65554, F16, 21) (dual of [65554, 65474, 22]-code) [i]