Information on Result #617594

Linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(2796, 531469, F27, 22) (dual of [531469, 531373, 23]-code) [i](u, u+v)-Construction
2Linear OA(2797, 531479, F27, 22) (dual of [531479, 531382, 23]-code) [i]
3Linear OA(2798, 531489, F27, 22) (dual of [531489, 531391, 23]-code) [i]
4Linear OA(2799, 531493, F27, 22) (dual of [531493, 531394, 23]-code) [i]
5Linear OA(27100, 531505, F27, 22) (dual of [531505, 531405, 23]-code) [i]
6Linear OA(27101, 531509, F27, 22) (dual of [531509, 531408, 23]-code) [i]
7Linear OA(27102, 531517, F27, 22) (dual of [531517, 531415, 23]-code) [i]
8Linear OA(27103, 531523, F27, 22) (dual of [531523, 531420, 23]-code) [i]
9Linear OA(27104, 531546, F27, 22) (dual of [531546, 531442, 23]-code) [i]
10Linear OA(27105, 531624, F27, 22) (dual of [531624, 531519, 23]-code) [i]
11Linear OA(27105, 531462, F27, 22) (dual of [531462, 531357, 23]-code) [i]Generalized (u, u+v)-Construction
12Linear OA(27104, 531461, F27, 22) (dual of [531461, 531357, 23]-code) [i]
13Linear OA(27102, 531459, F27, 22) (dual of [531459, 531357, 23]-code) [i]
14Linear OA(27104, 531462, F27, 22) (dual of [531462, 531358, 23]-code) [i]
15Linear OA(27105, 531465, F27, 22) (dual of [531465, 531360, 23]-code) [i]
16Linear OOA(2785, 328131, F27, 2, 22) (dual of [(328131, 2), 656177, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
17Digital (63, 85, 328131)-net over F27 [i]
18Linear OA(27100, 531457, F27, 22) (dual of [531457, 531357, 23]-code) [i](u, u−v, u+v+w)-Construction
19Linear OA(27101, 531459, F27, 22) (dual of [531459, 531358, 23]-code) [i]
20Linear OA(27102, 531461, F27, 22) (dual of [531461, 531359, 23]-code) [i]
21Linear OA(27103, 531497, F27, 22) (dual of [531497, 531394, 23]-code) [i]
22Linear OA(27104, 531507, F27, 22) (dual of [531507, 531403, 23]-code) [i]
23Linear OA(27105, 531517, F27, 22) (dual of [531517, 531412, 23]-code) [i]
24Linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
25Linear OA(2785, 531445, F27, 22) (dual of [531445, 531360, 23]-code) [i]✔
26Linear OA(2794, 531450, F27, 24) (dual of [531450, 531356, 25]-code) [i]✔
27Linear OA(2786, 531450, F27, 22) (dual of [531450, 531364, 23]-code) [i]✔
28Linear OA(2799, 531455, F27, 25) (dual of [531455, 531356, 26]-code) [i]✔
29Linear OA(2787, 531455, F27, 22) (dual of [531455, 531368, 23]-code) [i]✔
30Linear OA(27104, 531460, F27, 26) (dual of [531460, 531356, 27]-code) [i]✔
31Linear OA(2788, 531460, F27, 22) (dual of [531460, 531372, 23]-code) [i]✔
32Linear OA(27110, 531466, F27, 28) (dual of [531466, 531356, 29]-code) [i]✔
33Linear OA(2789, 531465, F27, 22) (dual of [531465, 531376, 23]-code) [i]✔
34Linear OA(2790, 531469, F27, 22) (dual of [531469, 531379, 23]-code) [i]✔
35Linear OA(2791, 531471, F27, 22) (dual of [531471, 531380, 23]-code) [i]✔
36Linear OA(2792, 531476, F27, 22) (dual of [531476, 531384, 23]-code) [i]✔
37Linear OA(2793, 531479, F27, 22) (dual of [531479, 531386, 23]-code) [i]✔
38Linear OA(2794, 531482, F27, 22) (dual of [531482, 531388, 23]-code) [i]✔
39Linear OA(2795, 531487, F27, 22) (dual of [531487, 531392, 23]-code) [i]✔
40Linear OA(2796, 531489, F27, 22) (dual of [531489, 531393, 23]-code) [i]✔
41Linear OA(2797, 531493, F27, 22) (dual of [531493, 531396, 23]-code) [i]✔
42Linear OA(2799, 531499, F27, 22) (dual of [531499, 531400, 23]-code) [i]✔