Information on Result #606660

Linear OA(12815, 128, F128, 15) (dual of [128, 113, 16]-code or 128-arc in PG(14,128)), using Reed–Solomon code RS(113,128)

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(2255, 90, F2, 4, 95) (dual of [(90, 4), 105, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
2Linear OOA(2250, 87, F2, 4, 95) (dual of [(87, 4), 98, 96]-NRT-code) [i]
3Linear OOA(2245, 84, F2, 4, 95) (dual of [(84, 4), 91, 96]-NRT-code) [i]
4Linear OA(12878, 318, F128, 54) (dual of [318, 240, 55]-code) [i]Construction X with Algebraic-Geometric Codes
5Linear OA(12877, 318, F128, 53) (dual of [318, 241, 54]-code) [i]
6Linear OA(12876, 318, F128, 52) (dual of [318, 242, 53]-code) [i]
7Linear OA(12875, 318, F128, 51) (dual of [318, 243, 52]-code) [i]
8Linear OA(12874, 318, F128, 50) (dual of [318, 244, 51]-code) [i]
9Linear OA(12873, 318, F128, 49) (dual of [318, 245, 50]-code) [i]
10Linear OA(12872, 318, F128, 48) (dual of [318, 246, 49]-code) [i]
11Linear OA(12871, 318, F128, 47) (dual of [318, 247, 48]-code) [i]
12Linear OA(12870, 318, F128, 46) (dual of [318, 248, 47]-code) [i]
13Linear OA(12869, 318, F128, 45) (dual of [318, 249, 46]-code) [i]
14Linear OA(12868, 318, F128, 44) (dual of [318, 250, 45]-code) [i]
15Linear OA(12867, 318, F128, 43) (dual of [318, 251, 44]-code) [i]
16Linear OA(12866, 318, F128, 42) (dual of [318, 252, 43]-code) [i]
17Linear OA(12865, 318, F128, 41) (dual of [318, 253, 42]-code) [i]
18Linear OA(12864, 318, F128, 40) (dual of [318, 254, 41]-code) [i]
19Linear OA(12863, 318, F128, 39) (dual of [318, 255, 40]-code) [i]
20Linear OA(12862, 318, F128, 38) (dual of [318, 256, 39]-code) [i]
21Linear OA(12878, 16431, F128, 32) (dual of [16431, 16353, 33]-code) [i]Construction X with Extended Narrow-Sense BCH Codes