Information on Result #606659

Linear OA(12814, 128, F128, 14) (dual of [128, 114, 15]-code or 128-arc in PG(13,128)), using Reed–Solomon code RS(114,128)

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(2243, 87, F2, 4, 89) (dual of [(87, 4), 105, 90]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OOA(2238, 84, F2, 4, 89) (dual of [(84, 4), 98, 90]-NRT-code) [i]
3Linear OOA(2233, 81, F2, 4, 89) (dual of [(81, 4), 91, 90]-NRT-code) [i]
4Linear OA(12878, 316, F128, 55) (dual of [316, 238, 56]-code) [i]Construction X with Algebraic-Geometric Codes
5Linear OA(12877, 316, F128, 54) (dual of [316, 239, 55]-code) [i]
6Linear OA(12876, 316, F128, 53) (dual of [316, 240, 54]-code) [i]
7Linear OA(12875, 316, F128, 52) (dual of [316, 241, 53]-code) [i]
8Linear OA(12874, 316, F128, 51) (dual of [316, 242, 52]-code) [i]
9Linear OA(12873, 316, F128, 50) (dual of [316, 243, 51]-code) [i]
10Linear OA(12872, 316, F128, 49) (dual of [316, 244, 50]-code) [i]
11Linear OA(12871, 316, F128, 48) (dual of [316, 245, 49]-code) [i]
12Linear OA(12870, 316, F128, 47) (dual of [316, 246, 48]-code) [i]
13Linear OA(12869, 316, F128, 46) (dual of [316, 247, 47]-code) [i]
14Linear OA(12868, 316, F128, 45) (dual of [316, 248, 46]-code) [i]
15Linear OA(12867, 316, F128, 44) (dual of [316, 249, 45]-code) [i]
16Linear OA(12866, 316, F128, 43) (dual of [316, 250, 44]-code) [i]
17Linear OA(12865, 316, F128, 42) (dual of [316, 251, 43]-code) [i]
18Linear OA(12864, 316, F128, 41) (dual of [316, 252, 42]-code) [i]
19Linear OA(12863, 316, F128, 40) (dual of [316, 253, 41]-code) [i]
20Linear OA(12862, 316, F128, 39) (dual of [316, 254, 40]-code) [i]
21Linear OA(12861, 316, F128, 38) (dual of [316, 255, 39]-code) [i]
22Linear OA(12860, 316, F128, 37) (dual of [316, 256, 38]-code) [i]
23Linear OA(12859, 316, F128, 36) (dual of [316, 257, 37]-code) [i]
24Linear OA(12877, 16428, F128, 32) (dual of [16428, 16351, 33]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
25Linear OA(12875, 16428, F128, 31) (dual of [16428, 16353, 32]-code) [i]
26Linear OA(12873, 16428, F128, 30) (dual of [16428, 16355, 31]-code) [i]