Information on Result #687163

Linear OA(8137, 4096, F8, 39) (dual of [4096, 3959, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OA(8142, 4101, F8, 41) (dual of [4101, 3959, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8137, 4100, F8, 39) (dual of [4100, 3963, 40]-code) [i]✔
3Linear OA(8147, 4105, F8, 42) (dual of [4105, 3958, 43]-code) [i]✔
4Linear OA(8148, 4107, F8, 42) (dual of [4107, 3959, 43]-code) [i]✔
5Linear OA(8153, 4112, F8, 43) (dual of [4112, 3959, 44]-code) [i]✔
6Linear OA(8140, 4111, F8, 39) (dual of [4111, 3971, 40]-code) [i]✔
7Linear OA(8159, 4118, F8, 44) (dual of [4118, 3959, 45]-code) [i]✔
8Linear OA(8164, 4123, F8, 45) (dual of [4123, 3959, 46]-code) [i]✔
9Linear OA(8143, 4122, F8, 39) (dual of [4122, 3979, 40]-code) [i]✔
10Linear OA(8172, 4131, F8, 46) (dual of [4131, 3959, 47]-code) [i]✔
11Linear OA(8150, 4137, F8, 39) (dual of [4137, 3987, 40]-code) [i]✔
12Linear OA(8151, 4142, F8, 39) (dual of [4142, 3991, 40]-code) [i]✔
13Linear OA(8152, 4147, F8, 39) (dual of [4147, 3995, 40]-code) [i]✔
14Linear OA(8153, 4152, F8, 39) (dual of [4152, 3999, 40]-code) [i]✔
15Linear OA(8158, 4116, F8, 44) (dual of [4116, 3958, 45]-code) [i]✔
16Linear OA(8171, 4130, F8, 46) (dual of [4130, 3959, 47]-code) [i]✔
17Linear OA(8171, 4129, F8, 46) (dual of [4129, 3958, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(8170, 4127, F8, 46) (dual of [4127, 3957, 47]-code) [i]✔
19Linear OA(8169, 4125, F8, 46) (dual of [4125, 3956, 47]-code) [i]✔
20Linear OA(8163, 4119, F8, 45) (dual of [4119, 3956, 46]-code) [i]✔
21Linear OA(8167, 4129, F8, 45) (dual of [4129, 3962, 46]-code) [i]✔
22Linear OA(8166, 4127, F8, 45) (dual of [4127, 3961, 46]-code) [i]✔
23Linear OA(8165, 4125, F8, 45) (dual of [4125, 3960, 46]-code) [i]✔
24Linear OA(8158, 4114, F8, 44) (dual of [4114, 3956, 45]-code) [i]✔
25Linear OA(8152, 4108, F8, 43) (dual of [4108, 3956, 44]-code) [i]✔
26Linear OA(8154, 4114, F8, 43) (dual of [4114, 3960, 44]-code) [i]✔