Information on Result #606370

Linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using Reed–Solomon code RS(4,16)

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(16124, 128, F16, 103) (dual of [128, 4, 104]-code) [i]Repeating Each Code Word
2Linear OA(1676, 80, F16, 68) (dual of [80, 4, 69]-code) [i]Juxtaposition
3Linear OA(1664, 67, F16, 60) (dual of [67, 3, 61]-code) [i]
4Linear OA(1677, 80, F16, 72) (dual of [80, 3, 73]-code) [i]
5Linear OA(1679, 83, F16, 71) (dual of [83, 4, 72]-code) [i]
6Linear OA(2112, 128, F2, 51) (dual of [128, 16, 52]-code) [i]Concatenation of Two Codes
7Linear OA(2108, 120, F2, 51) (dual of [120, 12, 52]-code) [i]
8Linear OA(2224, 240, F2, 103) (dual of [240, 16, 104]-code) [i]
9Linear OA(2213, 225, F2, 103) (dual of [225, 12, 104]-code) [i]
10Linear OA(472, 80, F4, 51) (dual of [80, 8, 52]-code) [i]
11Linear OA(469, 75, F4, 51) (dual of [75, 6, 52]-code) [i]
12Linear OOA(280, 48, F2, 2, 38) (dual of [(48, 2), 16, 39]-NRT-code) [i]Concatenation of Two NRT-Codes
13Linear OOA(2144, 80, F2, 2, 77) (dual of [(80, 2), 16, 78]-NRT-code) [i]
14Linear OOA(2138, 75, F2, 2, 77) (dual of [(75, 2), 12, 78]-NRT-code) [i]
15Linear OOA(2176, 96, F2, 2, 90) (dual of [(96, 2), 16, 91]-NRT-code) [i]
16Linear OOA(2240, 128, F2, 2, 129) (dual of [(128, 2), 16, 130]-NRT-code) [i]
17Linear OOA(2228, 120, F2, 2, 129) (dual of [(120, 2), 12, 130]-NRT-code) [i]
18Linear OOA(484, 45, F4, 2, 64) (dual of [(45, 2), 6, 65]-NRT-code) [i]
19Linear OOA(4120, 64, F4, 2, 90) (dual of [(64, 2), 8, 91]-NRT-code) [i]
20Linear OOA(4114, 60, F4, 2, 90) (dual of [(60, 2), 6, 91]-NRT-code) [i]
21Linear OOA(4108, 56, F4, 2, 90) (dual of [(56, 2), 4, 91]-NRT-code) [i]
22Linear OOA(4152, 80, F4, 2, 116) (dual of [(80, 2), 8, 117]-NRT-code) [i]
23Linear OOA(4144, 75, F4, 2, 116) (dual of [(75, 2), 6, 117]-NRT-code) [i]
24Linear OOA(4136, 70, F4, 2, 116) (dual of [(70, 2), 4, 117]-NRT-code) [i]
25Linear OOA(2128, 48, F2, 3, 77) (dual of [(48, 3), 16, 78]-NRT-code) [i]
26Linear OOA(2123, 45, F2, 3, 77) (dual of [(45, 3), 12, 78]-NRT-code) [i]
27Linear OOA(2118, 42, F2, 3, 77) (dual of [(42, 3), 8, 78]-NRT-code) [i]
28Linear OOA(2176, 64, F2, 3, 103) (dual of [(64, 3), 16, 104]-NRT-code) [i]
29Linear OOA(2160, 56, F2, 3, 103) (dual of [(56, 3), 8, 104]-NRT-code) [i]
30Linear OOA(2224, 80, F2, 3, 142) (dual of [(80, 3), 16, 143]-NRT-code) [i]
31Linear OOA(2213, 75, F2, 3, 142) (dual of [(75, 3), 12, 143]-NRT-code) [i]
32Linear OOA(2202, 70, F2, 3, 142) (dual of [(70, 3), 8, 143]-NRT-code) [i]
33Linear OOA(4206, 70, F4, 3, 181) (dual of [(70, 3), 4, 182]-NRT-code) [i]
34Linear OOA(2176, 48, F2, 4, 116) (dual of [(48, 4), 16, 117]-NRT-code) [i]
35Linear OOA(2168, 45, F2, 4, 116) (dual of [(45, 4), 12, 117]-NRT-code) [i]
36Linear OOA(2160, 42, F2, 4, 116) (dual of [(42, 4), 8, 117]-NRT-code) [i]
37Linear OOA(2240, 64, F2, 4, 155) (dual of [(64, 4), 16, 156]-NRT-code) [i]
38Linear OOA(2228, 60, F2, 4, 155) (dual of [(60, 4), 12, 156]-NRT-code) [i]
39Linear OOA(2216, 56, F2, 4, 155) (dual of [(56, 4), 8, 156]-NRT-code) [i]
40Linear OOA(2213, 45, F2, 5, 155) (dual of [(45, 5), 12, 156]-NRT-code) [i]
41Linear OA(16129, 4125, F16, 37) (dual of [4125, 3996, 38]-code) [i](u, u−v, u+v+w)-Construction
42Linear OA(16130, 4127, F16, 37) (dual of [4127, 3997, 38]-code) [i]
43Linear OA(16126, 4124, F16, 36) (dual of [4124, 3998, 37]-code) [i]
44Linear OA(16127, 4126, F16, 36) (dual of [4126, 3999, 37]-code) [i]