Information on Result #606656

Linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using Reed–Solomon code RS(117,128)

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
1Linear OOA(2259, 70, F2, 4, 155) (dual of [(70, 4), 21, 156]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OA(12878, 310, F128, 58) (dual of [310, 232, 59]-code) [i]Construction X with Algebraic-Geometric Codes
3Linear OA(12877, 310, F128, 57) (dual of [310, 233, 58]-code) [i]
4Linear OA(12876, 310, F128, 56) (dual of [310, 234, 57]-code) [i]
5Linear OA(12875, 310, F128, 55) (dual of [310, 235, 56]-code) [i]
6Linear OA(12874, 310, F128, 54) (dual of [310, 236, 55]-code) [i]
7Linear OA(12873, 310, F128, 53) (dual of [310, 237, 54]-code) [i]
8Linear OA(12872, 310, F128, 52) (dual of [310, 238, 53]-code) [i]
9Linear OA(12871, 310, F128, 51) (dual of [310, 239, 52]-code) [i]
10Linear OA(12870, 310, F128, 50) (dual of [310, 240, 51]-code) [i]
11Linear OA(12869, 310, F128, 49) (dual of [310, 241, 50]-code) [i]
12Linear OA(12868, 310, F128, 48) (dual of [310, 242, 49]-code) [i]
13Linear OA(12867, 310, F128, 47) (dual of [310, 243, 48]-code) [i]
14Linear OA(12866, 310, F128, 46) (dual of [310, 244, 47]-code) [i]
15Linear OA(12865, 310, F128, 45) (dual of [310, 245, 46]-code) [i]
16Linear OA(12864, 310, F128, 44) (dual of [310, 246, 45]-code) [i]
17Linear OA(12863, 310, F128, 43) (dual of [310, 247, 44]-code) [i]
18Linear OA(12862, 310, F128, 42) (dual of [310, 248, 43]-code) [i]
19Linear OA(12861, 310, F128, 41) (dual of [310, 249, 42]-code) [i]
20Linear OA(12860, 310, F128, 40) (dual of [310, 250, 41]-code) [i]
21Linear OA(12859, 310, F128, 39) (dual of [310, 251, 40]-code) [i]
22Linear OA(12858, 310, F128, 38) (dual of [310, 252, 39]-code) [i]
23Linear OA(12857, 310, F128, 37) (dual of [310, 253, 38]-code) [i]
24Linear OA(12856, 310, F128, 36) (dual of [310, 254, 37]-code) [i]
25Linear OA(12855, 310, F128, 35) (dual of [310, 255, 36]-code) [i]
26Linear OA(12854, 310, F128, 34) (dual of [310, 256, 35]-code) [i]
27Linear OA(12853, 310, F128, 33) (dual of [310, 257, 34]-code) [i]
28Linear OA(12852, 310, F128, 32) (dual of [310, 258, 33]-code) [i]
29Linear OA(12876, 16420, F128, 33) (dual of [16420, 16344, 34]-code) [i]Construction X with Cyclic Codes
30Linear OA(12872, 16420, F128, 31) (dual of [16420, 16348, 32]-code) [i]
31Linear OA(12868, 16420, F128, 29) (dual of [16420, 16352, 30]-code) [i]
32Linear OA(12864, 16420, F128, 27) (dual of [16420, 16356, 28]-code) [i]
33Linear OA(12860, 16420, F128, 25) (dual of [16420, 16360, 26]-code) [i]
34Linear OA(12878, 16419, F128, 34) (dual of [16419, 16341, 35]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
35Linear OA(12874, 16419, F128, 32) (dual of [16419, 16345, 33]-code) [i]
36Linear OA(12870, 16419, F128, 30) (dual of [16419, 16349, 31]-code) [i]
37Linear OA(12866, 16419, F128, 28) (dual of [16419, 16353, 29]-code) [i]
38Linear OA(12862, 16419, F128, 26) (dual of [16419, 16357, 27]-code) [i]
39Linear OA(12858, 16419, F128, 24) (dual of [16419, 16361, 25]-code) [i]