Information on Result #607100

Linear OA(1286, 129, F128, 6) (dual of [129, 123, 7]-code or 129-arc in PG(5,128)), using extended Reed–Solomon code RSe(123,128)

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(329, 129, S32, 6) [i]Discarding Parts of the Base for OAs
2OA(647, 129, S64, 6) [i]
3Linear OA(12819, 258, F128, 13) (dual of [258, 239, 14]-code) [i](u, u+v)-Construction
4Linear OA(12820, 279, F128, 13) (dual of [279, 259, 14]-code) [i]
5Linear OA(12831, 16514, F128, 13) (dual of [16514, 16483, 14]-code) [i]
6Linear OA(12843, 2097282, F128, 13) (dual of [2097282, 2097239, 14]-code) [i]
7Linear OA(12818, 258, F128, 12) (dual of [258, 240, 13]-code) [i]
8Linear OA(12819, 279, F128, 12) (dual of [279, 260, 13]-code) [i]
9Linear OA(12829, 16513, F128, 12) (dual of [16513, 16484, 13]-code) [i]
10Linear OA(12840, 2097281, F128, 12) (dual of [2097281, 2097241, 13]-code) [i]
11Linear OA(1289, 258, F128, 6) (dual of [258, 249, 7]-code) [i]
12Linear OA(12831, 16515, F128, 13) (dual of [16515, 16484, 14]-code) [i]
13Linear OA(12843, 2097284, F128, 13) (dual of [2097284, 2097241, 14]-code) [i]
14Linear OA(12829, 16515, F128, 12) (dual of [16515, 16486, 13]-code) [i]
15Linear OA(12840, 2097284, F128, 12) (dual of [2097284, 2097244, 13]-code) [i]
16OA(12821, 386, S128, 13) [i]
17OA(12835, 65667, S128, 13) [i]
18OA(12820, 386, S128, 12) [i]
19OA(12833, 65667, S128, 12) [i]
20Linear OA(12814, 16512, F128, 6) (dual of [16512, 16498, 7]-code) [i]Generalized (u, u+v)-Construction
21Linear OA(12836, 387, F128, 20) (dual of [387, 351, 21]-code) [i](u, u−v, u+v+w)-Construction
22Linear OA(12837, 408, F128, 20) (dual of [408, 371, 21]-code) [i]
23Linear OA(12838, 429, F128, 20) (dual of [429, 391, 21]-code) [i]
24Linear OA(12855, 16642, F128, 20) (dual of [16642, 16587, 21]-code) [i]
25Linear OA(12856, 16663, F128, 20) (dual of [16663, 16607, 21]-code) [i]
26Linear OA(12874, 2097410, F128, 20) (dual of [2097410, 2097336, 21]-code) [i]
27Linear OA(12875, 2097431, F128, 20) (dual of [2097431, 2097356, 21]-code) [i]
28Linear OA(12834, 387, F128, 19) (dual of [387, 353, 20]-code) [i]
29Linear OA(12835, 408, F128, 19) (dual of [408, 373, 20]-code) [i]
30Linear OA(12836, 429, F128, 19) (dual of [429, 393, 20]-code) [i]
31Linear OA(12852, 16643, F128, 19) (dual of [16643, 16591, 20]-code) [i]
32Linear OA(12853, 16664, F128, 19) (dual of [16664, 16611, 20]-code) [i]
33Linear OA(12870, 2097411, F128, 19) (dual of [2097411, 2097341, 20]-code) [i]
34Linear OA(12871, 2097432, F128, 19) (dual of [2097432, 2097361, 20]-code) [i]
35Linear OA(12833, 387, F128, 18) (dual of [387, 354, 19]-code) [i]
36Linear OA(12834, 408, F128, 18) (dual of [408, 374, 19]-code) [i]
37Linear OA(12850, 16642, F128, 18) (dual of [16642, 16592, 19]-code) [i]
38Linear OA(12851, 16663, F128, 18) (dual of [16663, 16612, 19]-code) [i]
39Linear OA(12867, 2097410, F128, 18) (dual of [2097410, 2097343, 19]-code) [i]
40Linear OA(12868, 2097431, F128, 18) (dual of [2097431, 2097363, 19]-code) [i]
41Linear OA(12823, 387, F128, 13) (dual of [387, 364, 14]-code) [i]
42Linear OA(12824, 408, F128, 13) (dual of [408, 384, 14]-code) [i]
43Linear OA(12835, 16643, F128, 13) (dual of [16643, 16608, 14]-code) [i]
44Linear OA(12847, 2097411, F128, 13) (dual of [2097411, 2097364, 14]-code) [i]
45Linear OA(12822, 387, F128, 12) (dual of [387, 365, 13]-code) [i]
46Linear OA(12833, 16642, F128, 12) (dual of [16642, 16609, 13]-code) [i]
47Linear OA(12844, 2097410, F128, 12) (dual of [2097410, 2097366, 13]-code) [i]