Information on Result #617567

Linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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 OA(2787, 531469, F27, 20) (dual of [531469, 531382, 21]-code) [i](u, u+v)-Construction
2Linear OA(2788, 531479, F27, 20) (dual of [531479, 531391, 21]-code) [i]
3Linear OA(2789, 531489, F27, 20) (dual of [531489, 531400, 21]-code) [i]
4Linear OA(2790, 531493, F27, 20) (dual of [531493, 531403, 21]-code) [i]
5Linear OA(2791, 531505, F27, 20) (dual of [531505, 531414, 21]-code) [i]
6Linear OA(2792, 531509, F27, 20) (dual of [531509, 531417, 21]-code) [i]
7Linear OA(2793, 531517, F27, 20) (dual of [531517, 531424, 21]-code) [i]
8Linear OA(2794, 531546, F27, 20) (dual of [531546, 531452, 21]-code) [i]
9Linear OA(2795, 531624, F27, 20) (dual of [531624, 531529, 21]-code) [i]
10Linear OA(2794, 531459, F27, 20) (dual of [531459, 531365, 21]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(2795, 531462, F27, 20) (dual of [531462, 531367, 21]-code) [i]
12Linear OOA(2777, 321130, F27, 2, 20) (dual of [(321130, 2), 642183, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
13Digital (57, 77, 321130)-net over F27 [i]
14Linear OA(2790, 531455, F27, 20) (dual of [531455, 531365, 21]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(2791, 531457, F27, 20) (dual of [531457, 531366, 21]-code) [i]
16Linear OA(2792, 531459, F27, 20) (dual of [531459, 531367, 21]-code) [i]
17Linear OA(2793, 531497, F27, 20) (dual of [531497, 531404, 21]-code) [i]
18Linear OA(2794, 531507, F27, 20) (dual of [531507, 531413, 21]-code) [i]
19Linear OA(2795, 531517, F27, 20) (dual of [531517, 531422, 21]-code) [i]
20Linear OA(2781, 531445, F27, 21) (dual of [531445, 531364, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
21Linear OA(2777, 531445, F27, 20) (dual of [531445, 531368, 21]-code) [i]✔
22Linear OA(2786, 531450, F27, 22) (dual of [531450, 531364, 23]-code) [i]✔
23Linear OA(2778, 531450, F27, 20) (dual of [531450, 531372, 21]-code) [i]✔
24Linear OA(2791, 531455, F27, 23) (dual of [531455, 531364, 24]-code) [i]✔
25Linear OA(2779, 531455, F27, 20) (dual of [531455, 531376, 21]-code) [i]✔
26Linear OA(2796, 531460, F27, 24) (dual of [531460, 531364, 25]-code) [i]✔
27Linear OA(2780, 531460, F27, 20) (dual of [531460, 531380, 21]-code) [i]✔
28Linear OA(27101, 531465, F27, 25) (dual of [531465, 531364, 26]-code) [i]✔
29Linear OA(2781, 531465, F27, 20) (dual of [531465, 531384, 21]-code) [i]✔
30Linear OA(27106, 531469, F27, 26) (dual of [531469, 531363, 27]-code) [i]✔
31Linear OA(27107, 531471, F27, 26) (dual of [531471, 531364, 27]-code) [i]✔
32Linear OA(2782, 531469, F27, 20) (dual of [531469, 531387, 21]-code) [i]✔
33Linear OA(2783, 531471, F27, 20) (dual of [531471, 531388, 21]-code) [i]✔
34Linear OA(2784, 531476, F27, 20) (dual of [531476, 531392, 21]-code) [i]✔
35Linear OA(2785, 531479, F27, 20) (dual of [531479, 531394, 21]-code) [i]✔
36Linear OA(2786, 531482, F27, 20) (dual of [531482, 531396, 21]-code) [i]✔
37Linear OA(2787, 531487, F27, 20) (dual of [531487, 531400, 21]-code) [i]✔
38Linear OA(2788, 531489, F27, 20) (dual of [531489, 531401, 21]-code) [i]✔
39Linear OA(2789, 531493, F27, 20) (dual of [531493, 531404, 21]-code) [i]✔
40Linear OOA(2777, 53144, F27, 20, 20) (dual of [(53144, 20), 1062803, 21]-NRT-code) [i]OA Folding and Stacking