Information on Result #607102

Linear OA(1288, 129, F128, 8) (dual of [129, 121, 9]-code or 129-arc in PG(7,128)), using extended Reed–Solomon code RSe(121,128)

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(1614, 129, S16, 8) [i]Discarding Parts of the Base for OAs
2OA(3212, 129, S32, 8) [i]
3OA(6410, 129, S64, 8) [i]
4Linear OA(12825, 258, F128, 17) (dual of [258, 233, 18]-code) [i](u, u+v)-Construction
5Linear OA(12841, 16514, F128, 17) (dual of [16514, 16473, 18]-code) [i]
6Linear OA(12857, 2097282, F128, 17) (dual of [2097282, 2097225, 18]-code) [i]
7Linear OA(12824, 258, F128, 16) (dual of [258, 234, 17]-code) [i]
8Linear OA(12839, 16513, F128, 16) (dual of [16513, 16474, 17]-code) [i]
9Linear OA(12854, 2097281, F128, 16) (dual of [2097281, 2097227, 17]-code) [i]
10Linear OA(12812, 258, F128, 8) (dual of [258, 246, 9]-code) [i]
11Linear OA(12841, 16515, F128, 17) (dual of [16515, 16474, 18]-code) [i]
12Linear OA(12857, 2097284, F128, 17) (dual of [2097284, 2097227, 18]-code) [i]
13Linear OA(12839, 16515, F128, 16) (dual of [16515, 16476, 17]-code) [i]
14Linear OA(12854, 2097284, F128, 16) (dual of [2097284, 2097230, 17]-code) [i]
15Linear OA(12827, 301, F128, 17) (dual of [301, 274, 18]-code) [i]
16OA(12828, 386, S128, 17) [i]
17OA(12846, 65667, S128, 17) [i]
18OA(12844, 65667, S128, 16) [i]
19Linear OA(12820, 16512, F128, 8) (dual of [16512, 16492, 9]-code) [i]Generalized (u, u+v)-Construction
20Linear OA(12847, 387, F128, 26) (dual of [387, 340, 27]-code) [i](u, u−v, u+v+w)-Construction
21Linear OA(12848, 408, F128, 26) (dual of [408, 360, 27]-code) [i]
22Linear OA(12849, 429, F128, 26) (dual of [429, 380, 27]-code) [i]
23Linear OA(12872, 16642, F128, 26) (dual of [16642, 16570, 27]-code) [i]
24Linear OA(12873, 16663, F128, 26) (dual of [16663, 16590, 27]-code) [i]
25Linear OA(12875, 16705, F128, 26) (dual of [16705, 16630, 27]-code) [i]
26Linear OA(12845, 387, F128, 25) (dual of [387, 342, 26]-code) [i]
27Linear OA(12846, 408, F128, 25) (dual of [408, 362, 26]-code) [i]
28Linear OA(12847, 429, F128, 25) (dual of [429, 382, 26]-code) [i]
29Linear OA(12869, 16643, F128, 25) (dual of [16643, 16574, 26]-code) [i]
30Linear OA(12870, 16664, F128, 25) (dual of [16664, 16594, 26]-code) [i]
31Linear OA(12872, 16706, F128, 25) (dual of [16706, 16634, 26]-code) [i]
32Linear OA(12844, 387, F128, 24) (dual of [387, 343, 25]-code) [i]
33Linear OA(12845, 408, F128, 24) (dual of [408, 363, 25]-code) [i]
34Linear OA(12846, 429, F128, 24) (dual of [429, 383, 25]-code) [i]
35Linear OA(12867, 16642, F128, 24) (dual of [16642, 16575, 25]-code) [i]
36Linear OA(12868, 16663, F128, 24) (dual of [16663, 16595, 25]-code) [i]
37Linear OA(12830, 387, F128, 17) (dual of [387, 357, 18]-code) [i]
38Linear OA(12831, 408, F128, 17) (dual of [408, 377, 18]-code) [i]
39Linear OA(12846, 16643, F128, 17) (dual of [16643, 16597, 18]-code) [i]
40Linear OA(12862, 2097411, F128, 17) (dual of [2097411, 2097349, 18]-code) [i]
41Linear OA(12829, 387, F128, 16) (dual of [387, 358, 17]-code) [i]
42Linear OA(12830, 408, F128, 16) (dual of [408, 378, 17]-code) [i]
43Linear OA(12844, 16642, F128, 16) (dual of [16642, 16598, 17]-code) [i]
44Linear OA(12859, 2097410, F128, 16) (dual of [2097410, 2097351, 17]-code) [i]
45Linear OA(12814, 387, F128, 8) (dual of [387, 373, 9]-code) [i]
46Linear OA(12814, 441, F128, 8) (dual of [441, 427, 9]-code) [i]VarÅ¡amov–Edel Lengthening