Information on Result #609921

Linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using Denniston code D(1,16)

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(16103, 4114, F16, 31) (dual of [4114, 4011, 32]-code) [i](u, u+v)-Construction
2Linear OA(16100, 4114, F16, 30) (dual of [4114, 4014, 31]-code) [i]
3Linear OA(1667, 70, F16, 63) (dual of [70, 3, 64]-code) [i]Juxtaposition
4Linear OA(1680, 83, F16, 75) (dual of [83, 3, 76]-code) [i]
5Linear OA(2204, 216, F2, 95) (dual of [216, 12, 96]-code) [i]Concatenation of Two Codes
6Linear OA(2258, 270, F2, 127) (dual of [270, 12, 128]-code) [i]
7Linear OA(466, 72, F4, 47) (dual of [72, 6, 48]-code) [i]
8Linear OA(484, 90, F4, 63) (dual of [90, 6, 64]-code) [i]
9Linear OOA(2168, 90, F2, 2, 95) (dual of [(90, 2), 12, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
10Linear OOA(4138, 72, F4, 2, 111) (dual of [(72, 2), 6, 112]-NRT-code) [i]
11Linear OOA(4174, 90, F4, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code) [i]
12Linear OOA(2150, 54, F2, 3, 95) (dual of [(54, 3), 12, 96]-NRT-code) [i]
13Linear OOA(2204, 72, F2, 3, 127) (dual of [(72, 3), 12, 128]-NRT-code) [i]
14Linear OOA(2258, 90, F2, 3, 175) (dual of [(90, 3), 12, 176]-NRT-code) [i]
15Linear OOA(4210, 72, F4, 3, 175) (dual of [(72, 3), 6, 176]-NRT-code) [i]
16Linear OOA(2204, 54, F2, 4, 143) (dual of [(54, 4), 12, 144]-NRT-code) [i]
17Linear OOA(2258, 54, F2, 5, 191) (dual of [(54, 5), 12, 192]-NRT-code) [i]
18Linear OA(16113, 4131, F16, 31) (dual of [4131, 4018, 32]-code) [i](u, u−v, u+v+w)-Construction