Information on Result #614973

Linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, 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 OOA(869, 2774, F8, 2, 20) (dual of [(2774, 2), 5479, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(869, 2774, F8, 3, 20) (dual of [(2774, 3), 8253, 21]-NRT-code) [i]
3Digital (49, 69, 2774)-net over F8 [i]
4Linear OA(873, 4100, F8, 21) (dual of [4100, 4027, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(869, 4100, F8, 20) (dual of [4100, 4031, 21]-code) [i]✔
6Linear OA(878, 4105, F8, 22) (dual of [4105, 4027, 23]-code) [i]✔
7Linear OA(870, 4105, F8, 20) (dual of [4105, 4035, 21]-code) [i]✔
8Linear OA(884, 4111, F8, 23) (dual of [4111, 4027, 24]-code) [i]✔
9Linear OA(872, 4111, F8, 20) (dual of [4111, 4039, 21]-code) [i]✔
10Linear OA(891, 4118, F8, 25) (dual of [4118, 4027, 26]-code) [i]✔
11Linear OA(889, 4116, F8, 24) (dual of [4116, 4027, 25]-code) [i]✔
12Linear OA(875, 4118, F8, 20) (dual of [4118, 4043, 21]-code) [i]✔
13Linear OA(896, 4123, F8, 26) (dual of [4123, 4027, 27]-code) [i]✔
14Linear OA(876, 4123, F8, 20) (dual of [4123, 4047, 21]-code) [i]✔
15Linear OA(8104, 4131, F8, 27) (dual of [4131, 4027, 28]-code) [i]✔
16Linear OA(890, 4116, F8, 25) (dual of [4116, 4026, 26]-code) [i]✔
17Linear OA(874, 4116, F8, 20) (dual of [4116, 4042, 21]-code) [i]✔
18Linear OA(8103, 4130, F8, 27) (dual of [4130, 4027, 28]-code) [i]✔
19Linear OA(8103, 4129, F8, 27) (dual of [4129, 4026, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(8102, 4127, F8, 27) (dual of [4127, 4025, 28]-code) [i]✔
21Linear OA(8101, 4125, F8, 27) (dual of [4125, 4024, 28]-code) [i]✔
22Linear OA(899, 4129, F8, 26) (dual of [4129, 4030, 27]-code) [i]✔
23Linear OA(898, 4127, F8, 26) (dual of [4127, 4029, 27]-code) [i]✔
24Linear OA(897, 4125, F8, 26) (dual of [4125, 4028, 27]-code) [i]✔
25Linear OA(890, 4114, F8, 25) (dual of [4114, 4024, 26]-code) [i]✔
26Linear OA(890, 4118, F8, 24) (dual of [4118, 4028, 25]-code) [i]✔
27Linear OA(879, 4107, F8, 22) (dual of [4107, 4028, 23]-code) [i]✔
28Linear OA(871, 4107, F8, 20) (dual of [4107, 4036, 21]-code) [i]✔
29Linear OA(874, 4114, F8, 20) (dual of [4114, 4040, 21]-code) [i]✔
30Linear OA(877, 4125, F8, 20) (dual of [4125, 4048, 21]-code) [i]✔