Information on Result #606371

Linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using Reed–Solomon code RS(3,16)

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(1665, 68, F16, 61) (dual of [68, 3, 62]-code) [i]Juxtaposition
2Linear OA(1678, 81, F16, 73) (dual of [81, 3, 74]-code) [i]
3Linear OA(2228, 240, F2, 111) (dual of [240, 12, 112]-code) [i]Concatenation of Two Codes
4Linear OA(474, 80, F4, 55) (dual of [80, 6, 56]-code) [i]
5Linear OOA(2244, 128, F2, 2, 139) (dual of [(128, 2), 12, 140]-NRT-code) [i]Concatenation of Two NRT-Codes
6Linear OOA(490, 48, F4, 2, 69) (dual of [(48, 2), 6, 70]-NRT-code) [i]
7Linear OOA(4122, 64, F4, 2, 97) (dual of [(64, 2), 6, 98]-NRT-code) [i]
8Linear OOA(4116, 60, F4, 2, 97) (dual of [(60, 2), 4, 98]-NRT-code) [i]
9Linear OOA(4154, 80, F4, 2, 125) (dual of [(80, 2), 6, 126]-NRT-code) [i]
10Linear OOA(4146, 75, F4, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code) [i]
11Linear OOA(2180, 64, F2, 3, 111) (dual of [(64, 3), 12, 112]-NRT-code) [i]
12Linear OOA(2228, 80, F2, 3, 153) (dual of [(80, 3), 12, 154]-NRT-code) [i]
13Linear OOA(2217, 75, F2, 3, 153) (dual of [(75, 3), 8, 154]-NRT-code) [i]
14Linear OOA(4234, 80, F4, 3, 195) (dual of [(80, 3), 6, 196]-NRT-code) [i]
15Linear OOA(4221, 75, F4, 3, 195) (dual of [(75, 3), 4, 196]-NRT-code) [i]
16Linear OOA(2180, 48, F2, 4, 125) (dual of [(48, 4), 12, 126]-NRT-code) [i]
17Linear OOA(2172, 45, F2, 4, 125) (dual of [(45, 4), 8, 126]-NRT-code) [i]
18Linear OOA(2244, 64, F2, 4, 167) (dual of [(64, 4), 12, 168]-NRT-code) [i]
19Linear OOA(2232, 60, F2, 4, 167) (dual of [(60, 4), 8, 168]-NRT-code) [i]
20Linear OOA(2228, 48, F2, 5, 167) (dual of [(48, 5), 12, 168]-NRT-code) [i]
21Linear OOA(2217, 45, F2, 5, 167) (dual of [(45, 5), 8, 168]-NRT-code) [i]