Information on Result #615001

Linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, 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 OOA(877, 3194, F8, 2, 22) (dual of [(3194, 2), 6311, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(877, 3194, F8, 3, 22) (dual of [(3194, 3), 9505, 23]-NRT-code) [i]
3Digital (55, 77, 3194)-net over F8 [i]
4Linear OA(881, 4100, F8, 23) (dual of [4100, 4019, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(877, 4100, F8, 22) (dual of [4100, 4023, 23]-code) [i]✔
6Linear OA(886, 4105, F8, 24) (dual of [4105, 4019, 25]-code) [i]✔
7Linear OA(887, 4105, F8, 25) (dual of [4105, 4018, 26]-code) [i]✔
8Linear OA(888, 4107, F8, 25) (dual of [4107, 4019, 26]-code) [i]✔
9Linear OA(878, 4105, F8, 22) (dual of [4105, 4027, 23]-code) [i]✔
10Linear OA(893, 4112, F8, 26) (dual of [4112, 4019, 27]-code) [i]✔
11Linear OA(880, 4111, F8, 22) (dual of [4111, 4031, 23]-code) [i]✔
12Linear OA(899, 4118, F8, 27) (dual of [4118, 4019, 28]-code) [i]✔
13Linear OA(881, 4116, F8, 22) (dual of [4116, 4035, 23]-code) [i]✔
14Linear OA(8104, 4123, F8, 28) (dual of [4123, 4019, 29]-code) [i]✔
15Linear OA(883, 4122, F8, 22) (dual of [4122, 4039, 23]-code) [i]✔
16Linear OA(8112, 4131, F8, 29) (dual of [4131, 4019, 30]-code) [i]✔
17Linear OA(8129, 4148, F8, 33) (dual of [4148, 4019, 34]-code) [i]✔
18Linear OA(898, 4116, F8, 27) (dual of [4116, 4018, 28]-code) [i]✔
19Linear OA(8111, 4130, F8, 29) (dual of [4130, 4019, 30]-code) [i]✔
20Linear OA(8111, 4129, F8, 29) (dual of [4129, 4018, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(8110, 4127, F8, 29) (dual of [4127, 4017, 30]-code) [i]✔
22Linear OA(8109, 4125, F8, 29) (dual of [4125, 4016, 30]-code) [i]✔
23Linear OA(8107, 4129, F8, 28) (dual of [4129, 4022, 29]-code) [i]✔
24Linear OA(8106, 4127, F8, 28) (dual of [4127, 4021, 29]-code) [i]✔
25Linear OA(8105, 4125, F8, 28) (dual of [4125, 4020, 29]-code) [i]✔
26Linear OA(898, 4114, F8, 27) (dual of [4114, 4016, 28]-code) [i]✔
27Linear OA(894, 4114, F8, 26) (dual of [4114, 4020, 27]-code) [i]✔
28Linear OA(887, 4107, F8, 24) (dual of [4107, 4020, 25]-code) [i]✔
29Linear OA(879, 4107, F8, 22) (dual of [4107, 4028, 23]-code) [i]✔
30Linear OA(882, 4118, F8, 22) (dual of [4118, 4036, 23]-code) [i]✔
31Linear OA(885, 4125, F8, 22) (dual of [4125, 4040, 23]-code) [i]✔
32Linear OOA(877, 372, F8, 22, 22) (dual of [(372, 22), 8107, 23]-NRT-code) [i]OA Folding and Stacking