Information on Result #607099

Linear OA(1285, 129, F128, 5) (dual of [129, 124, 6]-code or 129-arc in PG(4,128)), using extended Reed–Solomon code RSe(124,128)

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
1OA(646, 129, S64, 5) [i]Discarding Parts of the Base for OAs
2Linear OA(12816, 258, F128, 11) (dual of [258, 242, 12]-code) [i](u, u+v)-Construction
3Linear OA(12817, 279, F128, 11) (dual of [279, 262, 12]-code) [i]
4Linear OA(12826, 16514, F128, 11) (dual of [16514, 16488, 12]-code) [i]
5Linear OA(12836, 2097282, F128, 11) (dual of [2097282, 2097246, 12]-code) [i]
6Linear OA(12815, 258, F128, 10) (dual of [258, 243, 11]-code) [i]
7Linear OA(12824, 16513, F128, 10) (dual of [16513, 16489, 11]-code) [i]
8Linear OA(12833, 2097281, F128, 10) (dual of [2097281, 2097248, 11]-code) [i]
9Linear OA(12826, 16515, F128, 11) (dual of [16515, 16489, 12]-code) [i]
10Linear OA(12836, 2097284, F128, 11) (dual of [2097284, 2097248, 12]-code) [i]
11Linear OA(12824, 16515, F128, 10) (dual of [16515, 16491, 11]-code) [i]
12Linear OA(12833, 2097284, F128, 10) (dual of [2097284, 2097251, 11]-code) [i]
13OA(12818, 386, S128, 11) [i]
14OA(12829, 65667, S128, 11) [i]
15OA(12827, 65667, S128, 10) [i]
16Linear OA(12829, 16512, F128, 11) (dual of [16512, 16483, 12]-code) [i]Generalized (u, u+v)-Construction
17Linear OA(12830, 16533, F128, 11) (dual of [16533, 16503, 12]-code) [i]
18Linear OA(12827, 16512, F128, 10) (dual of [16512, 16485, 11]-code) [i]
19Linear OA(12810, 16512, F128, 5) (dual of [16512, 16502, 6]-code) [i]
20Linear OA(12830, 387, F128, 17) (dual of [387, 357, 18]-code) [i](u, u−v, u+v+w)-Construction
21Linear OA(12831, 408, F128, 17) (dual of [408, 377, 18]-code) [i]
22Linear OA(12832, 429, F128, 17) (dual of [429, 397, 18]-code) [i]
23Linear OA(12846, 16643, F128, 17) (dual of [16643, 16597, 18]-code) [i]
24Linear OA(12847, 16664, F128, 17) (dual of [16664, 16617, 18]-code) [i]
25Linear OA(12862, 2097411, F128, 17) (dual of [2097411, 2097349, 18]-code) [i]
26Linear OA(12863, 2097432, F128, 17) (dual of [2097432, 2097369, 18]-code) [i]
27Linear OA(12829, 387, F128, 16) (dual of [387, 358, 17]-code) [i]
28Linear OA(12830, 408, F128, 16) (dual of [408, 378, 17]-code) [i]
29Linear OA(12844, 16642, F128, 16) (dual of [16642, 16598, 17]-code) [i]
30Linear OA(12845, 16663, F128, 16) (dual of [16663, 16618, 17]-code) [i]
31Linear OA(12859, 2097410, F128, 16) (dual of [2097410, 2097351, 17]-code) [i]
32Linear OA(12860, 2097431, F128, 16) (dual of [2097431, 2097371, 17]-code) [i]
33Linear OA(12827, 387, F128, 15) (dual of [387, 360, 16]-code) [i]
34Linear OA(12828, 408, F128, 15) (dual of [408, 380, 16]-code) [i]
35Linear OA(12841, 16643, F128, 15) (dual of [16643, 16602, 16]-code) [i]
36Linear OA(12842, 16664, F128, 15) (dual of [16664, 16622, 16]-code) [i]
37Linear OA(12855, 2097411, F128, 15) (dual of [2097411, 2097356, 16]-code) [i]
38Linear OA(12856, 2097432, F128, 15) (dual of [2097432, 2097376, 16]-code) [i]
39Linear OA(12819, 387, F128, 11) (dual of [387, 368, 12]-code) [i]
40Linear OA(12820, 408, F128, 11) (dual of [408, 388, 12]-code) [i]
41Linear OA(12829, 16643, F128, 11) (dual of [16643, 16614, 12]-code) [i]
42Linear OA(12839, 2097411, F128, 11) (dual of [2097411, 2097372, 12]-code) [i]
43Linear OA(12818, 387, F128, 10) (dual of [387, 369, 11]-code) [i]
44Linear OA(12827, 16642, F128, 10) (dual of [16642, 16615, 11]-code) [i]
45Linear OA(12836, 2097410, F128, 10) (dual of [2097410, 2097374, 11]-code) [i]