Information on Result #615217

Linear OA(8145, 4096, F8, 42) (dual of [4096, 3951, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42

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(8145, 3992, F8, 2, 42) (dual of [(3992, 2), 7839, 43]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8145, 3992, F8, 3, 42) (dual of [(3992, 3), 11831, 43]-NRT-code) [i]
3Digital (103, 145, 3992)-net over F8 [i]
4Linear OA(8149, 4100, F8, 43) (dual of [4100, 3951, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8145, 4100, F8, 42) (dual of [4100, 3955, 43]-code) [i]✔
6Linear OA(8154, 4105, F8, 44) (dual of [4105, 3951, 45]-code) [i]✔
7Linear OA(8147, 4105, F8, 42) (dual of [4105, 3958, 43]-code) [i]✔
8Linear OA(8148, 4107, F8, 42) (dual of [4107, 3959, 43]-code) [i]✔
9Linear OA(8160, 4111, F8, 45) (dual of [4111, 3951, 46]-code) [i]✔
10Linear OA(8149, 4112, F8, 42) (dual of [4112, 3963, 43]-code) [i]✔
11Linear OA(8165, 4116, F8, 46) (dual of [4116, 3951, 47]-code) [i]✔
12Linear OA(8151, 4118, F8, 42) (dual of [4118, 3967, 43]-code) [i]✔
13Linear OA(8171, 4122, F8, 47) (dual of [4122, 3951, 48]-code) [i]✔
14Linear OA(8152, 4123, F8, 42) (dual of [4123, 3971, 43]-code) [i]✔
15Linear OA(8156, 4131, F8, 42) (dual of [4131, 3975, 43]-code) [i]✔
16Linear OA(8158, 4137, F8, 42) (dual of [4137, 3979, 43]-code) [i]✔
17Linear OA(8159, 4142, F8, 42) (dual of [4142, 3983, 43]-code) [i]✔
18Linear OA(8161, 4148, F8, 42) (dual of [4148, 3987, 43]-code) [i]✔
19Linear OA(8163, 4154, F8, 42) (dual of [4154, 3991, 43]-code) [i]✔
20Linear OA(8165, 4160, F8, 42) (dual of [4160, 3995, 43]-code) [i]✔
21Linear OA(8150, 4116, F8, 42) (dual of [4116, 3966, 43]-code) [i]✔
22Linear OA(8155, 4130, F8, 42) (dual of [4130, 3975, 43]-code) [i]✔
23Linear OA(8170, 4118, F8, 47) (dual of [4118, 3948, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(8166, 4118, F8, 46) (dual of [4118, 3952, 47]-code) [i]✔
25Linear OA(8159, 4107, F8, 45) (dual of [4107, 3948, 46]-code) [i]✔
26Linear OA(8155, 4107, F8, 44) (dual of [4107, 3952, 45]-code) [i]✔
27Linear OA(8150, 4114, F8, 42) (dual of [4114, 3964, 43]-code) [i]✔
28Linear OA(8155, 4129, F8, 42) (dual of [4129, 3974, 43]-code) [i]✔
29Linear OA(8154, 4127, F8, 42) (dual of [4127, 3973, 43]-code) [i]✔
30Linear OA(8153, 4125, F8, 42) (dual of [4125, 3972, 43]-code) [i]✔