Information on Result #606657

Linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using Reed–Solomon code RS(116,128)

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(2219, 81, F2, 4, 77) (dual of [(81, 4), 105, 78]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OOA(2214, 78, F2, 4, 77) (dual of [(78, 4), 98, 78]-NRT-code) [i]
3Linear OOA(2204, 72, F2, 4, 77) (dual of [(72, 4), 84, 78]-NRT-code) [i]
4Linear OA(12878, 312, F128, 57) (dual of [312, 234, 58]-code) [i]Construction X with Algebraic-Geometric Codes
5Linear OA(12877, 312, F128, 56) (dual of [312, 235, 57]-code) [i]
6Linear OA(12876, 312, F128, 55) (dual of [312, 236, 56]-code) [i]
7Linear OA(12875, 312, F128, 54) (dual of [312, 237, 55]-code) [i]
8Linear OA(12874, 312, F128, 53) (dual of [312, 238, 54]-code) [i]
9Linear OA(12873, 312, F128, 52) (dual of [312, 239, 53]-code) [i]
10Linear OA(12872, 312, F128, 51) (dual of [312, 240, 52]-code) [i]
11Linear OA(12871, 312, F128, 50) (dual of [312, 241, 51]-code) [i]
12Linear OA(12870, 312, F128, 49) (dual of [312, 242, 50]-code) [i]
13Linear OA(12869, 312, F128, 48) (dual of [312, 243, 49]-code) [i]
14Linear OA(12868, 312, F128, 47) (dual of [312, 244, 48]-code) [i]
15Linear OA(12867, 312, F128, 46) (dual of [312, 245, 47]-code) [i]
16Linear OA(12866, 312, F128, 45) (dual of [312, 246, 46]-code) [i]
17Linear OA(12865, 312, F128, 44) (dual of [312, 247, 45]-code) [i]
18Linear OA(12864, 312, F128, 43) (dual of [312, 248, 44]-code) [i]
19Linear OA(12863, 312, F128, 42) (dual of [312, 249, 43]-code) [i]
20Linear OA(12862, 312, F128, 41) (dual of [312, 250, 42]-code) [i]
21Linear OA(12861, 312, F128, 40) (dual of [312, 251, 41]-code) [i]
22Linear OA(12860, 312, F128, 39) (dual of [312, 252, 40]-code) [i]
23Linear OA(12859, 312, F128, 38) (dual of [312, 253, 39]-code) [i]
24Linear OA(12858, 312, F128, 37) (dual of [312, 254, 38]-code) [i]
25Linear OA(12857, 312, F128, 36) (dual of [312, 255, 37]-code) [i]
26Linear OA(12856, 312, F128, 35) (dual of [312, 256, 36]-code) [i]
27Linear OA(12855, 312, F128, 34) (dual of [312, 257, 35]-code) [i]
28Linear OA(12854, 312, F128, 33) (dual of [312, 258, 34]-code) [i]
29Linear OA(12877, 16422, F128, 33) (dual of [16422, 16345, 34]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
30Linear OA(12875, 16422, F128, 32) (dual of [16422, 16347, 33]-code) [i]
31Linear OA(12873, 16422, F128, 31) (dual of [16422, 16349, 32]-code) [i]
32Linear OA(12871, 16422, F128, 30) (dual of [16422, 16351, 31]-code) [i]
33Linear OA(12869, 16422, F128, 29) (dual of [16422, 16353, 30]-code) [i]
34Linear OA(12867, 16422, F128, 28) (dual of [16422, 16355, 29]-code) [i]
35Linear OA(12865, 16422, F128, 27) (dual of [16422, 16357, 28]-code) [i]
36Linear OA(12863, 16422, F128, 26) (dual of [16422, 16359, 27]-code) [i]