Information on Result #615128

Linear OA(8117, 4096, F8, 34) (dual of [4096, 3979, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(8117, 3412, F8, 2, 34) (dual of [(3412, 2), 6707, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8117, 3412, F8, 3, 34) (dual of [(3412, 3), 10119, 35]-NRT-code) [i]
3Digital (83, 117, 3412)-net over F8 [i]
4Linear OA(8121, 4100, F8, 35) (dual of [4100, 3979, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8117, 4100, F8, 34) (dual of [4100, 3983, 35]-code) [i]✔
6Linear OA(8126, 4105, F8, 36) (dual of [4105, 3979, 37]-code) [i]✔
7Linear OA(8119, 4105, F8, 34) (dual of [4105, 3986, 35]-code) [i]✔
8Linear OA(8120, 4107, F8, 34) (dual of [4107, 3987, 35]-code) [i]✔
9Linear OA(8132, 4111, F8, 37) (dual of [4111, 3979, 38]-code) [i]✔
10Linear OA(8121, 4112, F8, 34) (dual of [4112, 3991, 35]-code) [i]✔
11Linear OA(8137, 4116, F8, 38) (dual of [4116, 3979, 39]-code) [i]✔
12Linear OA(8123, 4118, F8, 34) (dual of [4118, 3995, 35]-code) [i]✔
13Linear OA(8143, 4122, F8, 39) (dual of [4122, 3979, 40]-code) [i]✔
14Linear OA(8124, 4123, F8, 34) (dual of [4123, 3999, 35]-code) [i]✔
15Linear OA(8152, 4131, F8, 41) (dual of [4131, 3979, 42]-code) [i]✔
16Linear OA(8148, 4127, F8, 40) (dual of [4127, 3979, 41]-code) [i]✔
17Linear OA(8128, 4131, F8, 34) (dual of [4131, 4003, 35]-code) [i]✔
18Linear OA(8158, 4137, F8, 42) (dual of [4137, 3979, 43]-code) [i]✔
19Linear OA(8130, 4137, F8, 34) (dual of [4137, 4007, 35]-code) [i]✔
20Linear OA(8163, 4142, F8, 43) (dual of [4142, 3979, 44]-code) [i]✔
21Linear OA(8131, 4142, F8, 34) (dual of [4142, 4011, 35]-code) [i]✔
22Linear OA(8168, 4147, F8, 44) (dual of [4147, 3979, 45]-code) [i]✔
23Linear OA(8133, 4148, F8, 34) (dual of [4148, 4015, 35]-code) [i]✔
24Linear OA(8173, 4152, F8, 45) (dual of [4152, 3979, 46]-code) [i]✔
25Linear OA(8122, 4116, F8, 34) (dual of [4116, 3994, 35]-code) [i]✔
26Linear OA(8151, 4130, F8, 41) (dual of [4130, 3979, 42]-code) [i]✔
27Linear OA(8127, 4130, F8, 34) (dual of [4130, 4003, 35]-code) [i]✔
28Linear OA(8151, 4129, F8, 41) (dual of [4129, 3978, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(8150, 4127, F8, 41) (dual of [4127, 3977, 42]-code) [i]✔
30Linear OA(8149, 4125, F8, 41) (dual of [4125, 3976, 42]-code) [i]✔
31Linear OA(8138, 4118, F8, 38) (dual of [4118, 3980, 39]-code) [i]✔
32Linear OA(8127, 4107, F8, 36) (dual of [4107, 3980, 37]-code) [i]✔
33Linear OA(8122, 4114, F8, 34) (dual of [4114, 3992, 35]-code) [i]✔
34Linear OA(8127, 4129, F8, 34) (dual of [4129, 4002, 35]-code) [i]✔
35Linear OA(8126, 4127, F8, 34) (dual of [4127, 4001, 35]-code) [i]✔
36Linear OA(8125, 4125, F8, 34) (dual of [4125, 4000, 35]-code) [i]✔