Information on Result #605489

Linear OA(164, 5, F16, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,16)), using dual of repetition code with length 5

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(16130, 1048596, F16, 24) (dual of [1048596, 1048466, 25]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(16100, 1048591, F16, 19) (dual of [1048591, 1048491, 20]-code) [i]
3Linear OA(1663, 4111, F16, 18) (dual of [4111, 4048, 19]-code) [i]
4Linear OA(1695, 1048591, F16, 18) (dual of [1048591, 1048496, 19]-code) [i]
5Linear OA(1678, 1048591, F16, 14) (dual of [1048591, 1048513, 15]-code) [i]
6Linear OA(1649, 4106, F16, 14) (dual of [4106, 4057, 15]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(1663, 131082, F16, 14) (dual of [131082, 131019, 15]-code) [i]
8Linear OA(1675, 1048586, F16, 14) (dual of [1048586, 1048511, 15]-code) [i]
9Linear OA(1659, 131084, F16, 13) (dual of [131084, 131025, 14]-code) [i]
10Linear OA(1643, 4106, F16, 12) (dual of [4106, 4063, 13]-code) [i]
11Linear OA(1655, 131082, F16, 12) (dual of [131082, 131027, 13]-code) [i]
12Linear OA(1665, 1048586, F16, 12) (dual of [1048586, 1048521, 13]-code) [i]
13Linear OA(1629, 4102, F16, 9) (dual of [4102, 4073, 10]-code) [i]Construction X with Cyclic Codes
14Linear OA(1637, 65542, F16, 9) (dual of [65542, 65505, 10]-code) [i]
15Linear OA(1645, 1048582, F16, 9) (dual of [1048582, 1048537, 10]-code) [i]
16Linear OA(1625, 262, F16, 11) (dual of [262, 237, 12]-code) [i]
17Linear OA(1635, 4102, F16, 11) (dual of [4102, 4067, 12]-code) [i]
18Linear OA(1645, 65542, F16, 11) (dual of [65542, 65497, 12]-code) [i]
19Linear OA(1655, 1048582, F16, 11) (dual of [1048582, 1048527, 12]-code) [i]
20Linear OA(1626, 30, F16, 14) (dual of [30, 4, 15]-code) [i]
21Linear OA(1642, 70, F16, 22) (dual of [70, 28, 23]-code) [i]
22Linear OA(1671, 80, F16, 39) (dual of [80, 9, 40]-code) [i]
23Linear OA(1672, 80, F16, 44) (dual of [80, 8, 45]-code) [i]
24Linear OA(1673, 80, F16, 49) (dual of [80, 7, 50]-code) [i]
25Linear OA(1674, 80, F16, 54) (dual of [80, 6, 55]-code) [i]
26Linear OA(1675, 80, F16, 59) (dual of [80, 5, 60]-code) [i]
27Linear OA(1676, 80, F16, 64) (dual of [80, 4, 65]-code) [i]
28Linear OA(16130, 275, F16, 73) (dual of [275, 145, 74]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes