Information on Result #619527

Linear OA(1287, 129, F128, 7) (dual of [129, 122, 8]-code or 129-arc in PG(6,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1OA(3210, 129, S32, 7) [i]Discarding Parts of the Base for OAs
2OA(649, 129, S64, 7) [i]
3Linear OA(12822, 258, F128, 15) (dual of [258, 236, 16]-code) [i](u, u+v)-Construction
4Linear OA(12823, 279, F128, 15) (dual of [279, 256, 16]-code) [i]
5Linear OA(12836, 16514, F128, 15) (dual of [16514, 16478, 16]-code) [i]
6Linear OA(12850, 2097282, F128, 15) (dual of [2097282, 2097232, 16]-code) [i]
7Linear OA(12821, 258, F128, 14) (dual of [258, 237, 15]-code) [i]
8Linear OA(12822, 279, F128, 14) (dual of [279, 257, 15]-code) [i]
9Linear OA(12834, 16513, F128, 14) (dual of [16513, 16479, 15]-code) [i]
10Linear OA(12847, 2097281, F128, 14) (dual of [2097281, 2097234, 15]-code) [i]
11Linear OA(12810, 258, F128, 7) (dual of [258, 248, 8]-code) [i]
12Linear OA(12836, 16515, F128, 15) (dual of [16515, 16479, 16]-code) [i]
13Linear OA(12850, 2097284, F128, 15) (dual of [2097284, 2097234, 16]-code) [i]
14Linear OA(12834, 16515, F128, 14) (dual of [16515, 16481, 15]-code) [i]
15Linear OA(12847, 2097284, F128, 14) (dual of [2097284, 2097237, 15]-code) [i]
16Linear OA(12824, 301, F128, 15) (dual of [301, 277, 16]-code) [i]
17OA(12825, 386, S128, 15) [i]
18OA(12841, 65667, S128, 15) [i]
19OA(12823, 386, S128, 14) [i]
20OA(12838, 65667, S128, 14) [i]
21Linear OA(12816, 16512, F128, 7) (dual of [16512, 16496, 8]-code) [i]Generalized (u, u+v)-Construction
22Linear OA(12841, 387, F128, 23) (dual of [387, 346, 24]-code) [i](u, u−v, u+v+w)-Construction
23Linear OA(12842, 408, F128, 23) (dual of [408, 366, 24]-code) [i]
24Linear OA(12843, 429, F128, 23) (dual of [429, 386, 24]-code) [i]
25Linear OA(12863, 16643, F128, 23) (dual of [16643, 16580, 24]-code) [i]
26Linear OA(12864, 16664, F128, 23) (dual of [16664, 16600, 24]-code) [i]
27Linear OA(12866, 16706, F128, 23) (dual of [16706, 16640, 24]-code) [i]
28Linear OA(12840, 387, F128, 22) (dual of [387, 347, 23]-code) [i]
29Linear OA(12841, 408, F128, 22) (dual of [408, 367, 23]-code) [i]
30Linear OA(12842, 429, F128, 22) (dual of [429, 387, 23]-code) [i]
31Linear OA(12861, 16642, F128, 22) (dual of [16642, 16581, 23]-code) [i]
32Linear OA(12862, 16663, F128, 22) (dual of [16663, 16601, 23]-code) [i]
33Linear OA(12838, 387, F128, 21) (dual of [387, 349, 22]-code) [i]
34Linear OA(12839, 408, F128, 21) (dual of [408, 369, 22]-code) [i]
35Linear OA(12840, 429, F128, 21) (dual of [429, 389, 22]-code) [i]
36Linear OA(12858, 16643, F128, 21) (dual of [16643, 16585, 22]-code) [i]
37Linear OA(12859, 16664, F128, 21) (dual of [16664, 16605, 22]-code) [i]
38Linear OA(12878, 2097411, F128, 21) (dual of [2097411, 2097333, 22]-code) [i]
39Linear OA(12827, 387, F128, 15) (dual of [387, 360, 16]-code) [i]
40Linear OA(12828, 408, F128, 15) (dual of [408, 380, 16]-code) [i]
41Linear OA(12841, 16643, F128, 15) (dual of [16643, 16602, 16]-code) [i]
42Linear OA(12855, 2097411, F128, 15) (dual of [2097411, 2097356, 16]-code) [i]
43Linear OA(12825, 387, F128, 14) (dual of [387, 362, 15]-code) [i]
44Linear OA(12826, 408, F128, 14) (dual of [408, 382, 15]-code) [i]
45Linear OA(12838, 16642, F128, 14) (dual of [16642, 16604, 15]-code) [i]
46Linear OA(12851, 2097410, F128, 14) (dual of [2097410, 2097359, 15]-code) [i]
47Linear OA(12812, 387, F128, 7) (dual of [387, 375, 8]-code) [i]
48Linear OA(12812, 394, F128, 7) (dual of [394, 382, 8]-code) [i]VarÅ¡amov–Edel Lengthening
49Linear OA(1289, 132, F128, 7) (dual of [132, 123, 8]-code) [i]✔Construction X with Cyclic Codes