Information on Result #615056

Linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(889, 2854, F8, 2, 26) (dual of [(2854, 2), 5619, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(889, 2854, F8, 3, 26) (dual of [(2854, 3), 8473, 27]-NRT-code) [i]
3Digital (63, 89, 2854)-net over F8 [i]
4Linear OA(893, 4100, F8, 27) (dual of [4100, 4007, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(889, 4100, F8, 26) (dual of [4100, 4011, 27]-code) [i]✔
6Linear OA(898, 4105, F8, 28) (dual of [4105, 4007, 29]-code) [i]✔
7Linear OA(891, 4105, F8, 26) (dual of [4105, 4014, 27]-code) [i]✔
8Linear OA(892, 4107, F8, 26) (dual of [4107, 4015, 27]-code) [i]✔
9Linear OA(8104, 4111, F8, 29) (dual of [4111, 4007, 30]-code) [i]✔
10Linear OA(893, 4112, F8, 26) (dual of [4112, 4019, 27]-code) [i]✔
11Linear OA(8109, 4116, F8, 30) (dual of [4116, 4007, 31]-code) [i]✔
12Linear OA(895, 4118, F8, 26) (dual of [4118, 4023, 27]-code) [i]✔
13Linear OA(8115, 4122, F8, 31) (dual of [4122, 4007, 32]-code) [i]✔
14Linear OA(896, 4123, F8, 26) (dual of [4123, 4027, 27]-code) [i]✔
15Linear OA(8124, 4131, F8, 33) (dual of [4131, 4007, 34]-code) [i]✔
16Linear OA(8120, 4127, F8, 32) (dual of [4127, 4007, 33]-code) [i]✔
17Linear OA(8100, 4131, F8, 26) (dual of [4131, 4031, 27]-code) [i]✔
18Linear OA(8130, 4137, F8, 34) (dual of [4137, 4007, 35]-code) [i]✔
19Linear OA(8135, 4142, F8, 35) (dual of [4142, 4007, 36]-code) [i]✔
20Linear OA(8140, 4147, F8, 36) (dual of [4147, 4007, 37]-code) [i]✔
21Linear OA(8145, 4152, F8, 37) (dual of [4152, 4007, 38]-code) [i]✔
22Linear OA(894, 4116, F8, 26) (dual of [4116, 4022, 27]-code) [i]✔
23Linear OA(8123, 4130, F8, 33) (dual of [4130, 4007, 34]-code) [i]✔
24Linear OA(899, 4130, F8, 26) (dual of [4130, 4031, 27]-code) [i]✔
25Linear OA(8123, 4129, F8, 33) (dual of [4129, 4006, 34]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(8122, 4127, F8, 33) (dual of [4127, 4005, 34]-code) [i]✔
27Linear OA(8121, 4125, F8, 33) (dual of [4125, 4004, 34]-code) [i]✔
28Linear OA(8114, 4118, F8, 31) (dual of [4118, 4004, 32]-code) [i]✔
29Linear OA(8110, 4118, F8, 30) (dual of [4118, 4008, 31]-code) [i]✔
30Linear OA(8103, 4107, F8, 29) (dual of [4107, 4004, 30]-code) [i]✔
31Linear OA(899, 4107, F8, 28) (dual of [4107, 4008, 29]-code) [i]✔
32Linear OA(894, 4114, F8, 26) (dual of [4114, 4020, 27]-code) [i]✔
33Linear OA(899, 4129, F8, 26) (dual of [4129, 4030, 27]-code) [i]✔
34Linear OA(898, 4127, F8, 26) (dual of [4127, 4029, 27]-code) [i]✔
35Linear OA(897, 4125, F8, 26) (dual of [4125, 4028, 27]-code) [i]✔