Information on Result #614945

Linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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(861, 2357, F8, 2, 18) (dual of [(2357, 2), 4653, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(861, 2357, F8, 3, 18) (dual of [(2357, 3), 7010, 19]-NRT-code) [i]
3Digital (43, 61, 2357)-net over F8 [i]
4Linear OA(865, 4100, F8, 19) (dual of [4100, 4035, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(861, 4100, F8, 18) (dual of [4100, 4039, 19]-code) [i]✔
6Linear OA(870, 4105, F8, 20) (dual of [4105, 4035, 21]-code) [i]✔
7Linear OA(863, 4105, F8, 18) (dual of [4105, 4042, 19]-code) [i]✔
8Linear OA(864, 4107, F8, 18) (dual of [4107, 4043, 19]-code) [i]✔
9Linear OA(876, 4111, F8, 21) (dual of [4111, 4035, 22]-code) [i]✔
10Linear OA(865, 4112, F8, 18) (dual of [4112, 4047, 19]-code) [i]✔
11Linear OA(881, 4116, F8, 22) (dual of [4116, 4035, 23]-code) [i]✔
12Linear OA(867, 4118, F8, 18) (dual of [4118, 4051, 19]-code) [i]✔
13Linear OA(887, 4122, F8, 23) (dual of [4122, 4035, 24]-code) [i]✔
14Linear OA(868, 4123, F8, 18) (dual of [4123, 4055, 19]-code) [i]✔
15Linear OA(896, 4131, F8, 25) (dual of [4131, 4035, 26]-code) [i]✔
16Linear OA(892, 4127, F8, 24) (dual of [4127, 4035, 25]-code) [i]✔
17Linear OA(866, 4116, F8, 18) (dual of [4116, 4050, 19]-code) [i]✔
18Linear OA(895, 4130, F8, 25) (dual of [4130, 4035, 26]-code) [i]✔
19Linear OA(895, 4129, F8, 25) (dual of [4129, 4034, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(894, 4127, F8, 25) (dual of [4127, 4033, 26]-code) [i]✔
21Linear OA(893, 4125, F8, 25) (dual of [4125, 4032, 26]-code) [i]✔
22Linear OA(882, 4118, F8, 22) (dual of [4118, 4036, 23]-code) [i]✔
23Linear OA(871, 4107, F8, 20) (dual of [4107, 4036, 21]-code) [i]✔
24Linear OA(866, 4114, F8, 18) (dual of [4114, 4048, 19]-code) [i]✔
25Linear OA(869, 4125, F8, 18) (dual of [4125, 4056, 19]-code) [i]✔
26Linear OOA(861, 455, F8, 18, 18) (dual of [(455, 18), 8129, 19]-NRT-code) [i]OA Folding and Stacking