Information on Result #629166

Linear OA(1614, 130562, F16, 5) (dual of [130562, 130548, 6]-code), using trace code based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using

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(1615, 130563, F16, 5) (dual of [130563, 130548, 6]-code) [i]Code Embedding in Larger Space
2Linear OA(1613, 130561, F16, 4) (dual of [130561, 130548, 5]-code) [i]Truncation
3Linear OA(427, 130562, F4, 5) (dual of [130562, 130535, 6]-code) [i]Base Reduction for Projective Spaces
4OA(819, 130562, S8, 5) [i]Discarding Parts of the Base for OAs
5Linear OA(1616, 130579, F16, 5) (dual of [130579, 130563, 6]-code) [i](u, u+v)-Construction
6Linear OA(1617, 130835, F16, 5) (dual of [130835, 130818, 6]-code) [i]
7Linear OA(1618, 134931, F16, 5) (dual of [134931, 134913, 6]-code) [i]
8Linear OA(1619, 200467, F16, 5) (dual of [200467, 200448, 6]-code) [i]
9Linear OA(1620, 134657, F16, 5) (dual of [134657, 134637, 6]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(1622, 1179137, F16, 5) (dual of [1179137, 1179115, 6]-code) [i]
11Linear OA(1623, 2088992, F16, 5) (dual of [2088992, 2088969, 6]-code) [i]
12Linear OA(1619, 131381, F16, 5) (dual of [131381, 131362, 6]-code) [i]
13Linear OA(1617, 130596, F16, 5) (dual of [130596, 130579, 6]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(1618, 131108, F16, 5) (dual of [131108, 131090, 6]-code) [i]
15Linear OA(1620, 270372, F16, 5) (dual of [270372, 270352, 6]-code) [i]
16Linear OOA(1614, 65281, F16, 2, 5) (dual of [(65281, 2), 130548, 6]-NRT-code) [i]OOA Folding
17Linear OOA(1614, 65280, F16, 5, 5) (dual of [(65280, 5), 326386, 6]-NRT-code) [i]OOA Folding and Stacking with Additional Row