Information on Result #608586

Linear OA(162, 17, F16, 2) (dual of [17, 15, 3]-code or 17-arc in PG(1,16)), using Hamming code H(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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(169, 258, F16, 5) (dual of [258, 249, 6]-code) [i](u, u+v)-Construction
2Linear OA(1616, 130579, F16, 5) (dual of [130579, 130563, 6]-code) [i]
3Linear OA(1618, 1048593, F16, 4) (dual of [1048593, 1048575, 5]-code) [i]
4Linear OA(1618, 1048598, F16, 4) (dual of [1048598, 1048580, 5]-code) [i]
5Linear OA(1642, 1048610, F16, 8) (dual of [1048610, 1048568, 9]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(1636, 1048612, F16, 7) (dual of [1048612, 1048576, 8]-code) [i]
7Linear OA(1617, 130596, F16, 5) (dual of [130596, 130579, 6]-code) [i]
8Linear OA(16128, 1048593, F16, 27) (dual of [1048593, 1048465, 28]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(16123, 1048593, F16, 26) (dual of [1048593, 1048470, 27]-code) [i]
10Linear OA(16118, 1048593, F16, 25) (dual of [1048593, 1048475, 26]-code) [i]
11Linear OA(16113, 1048593, F16, 24) (dual of [1048593, 1048480, 25]-code) [i]
12Linear OA(16108, 1048593, F16, 23) (dual of [1048593, 1048485, 24]-code) [i]
13Linear OA(16103, 1048593, F16, 22) (dual of [1048593, 1048490, 23]-code) [i]
14Linear OA(1698, 1048593, F16, 21) (dual of [1048593, 1048495, 22]-code) [i]
15Linear OA(1693, 1048593, F16, 20) (dual of [1048593, 1048500, 21]-code) [i]
16Linear OA(1673, 1048593, F16, 15) (dual of [1048593, 1048520, 16]-code) [i]
17Linear OA(1668, 1048593, F16, 14) (dual of [1048593, 1048525, 15]-code) [i]
18Linear OA(1663, 1048593, F16, 13) (dual of [1048593, 1048530, 14]-code) [i]
19Linear OA(1658, 1048593, F16, 12) (dual of [1048593, 1048535, 13]-code) [i]
20Linear OA(1653, 1048593, F16, 11) (dual of [1048593, 1048540, 12]-code) [i]
21Linear OA(1648, 1048593, F16, 10) (dual of [1048593, 1048545, 11]-code) [i]
22Linear OA(1643, 1048593, F16, 9) (dual of [1048593, 1048550, 10]-code) [i]
23Linear OA(1638, 1048593, F16, 8) (dual of [1048593, 1048555, 9]-code) [i]
24Linear OA(1633, 1048593, F16, 7) (dual of [1048593, 1048560, 8]-code) [i]
25Linear OA(1628, 1048593, F16, 6) (dual of [1048593, 1048565, 7]-code) [i]