Information on Result #615087

Linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(8101, 3436, F8, 2, 29) (dual of [(3436, 2), 6771, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8101, 3436, F8, 3, 29) (dual of [(3436, 3), 10207, 30]-NRT-code) [i]
3Digital (72, 101, 3436)-net over F8 [i]
4Linear OA(8105, 4100, F8, 30) (dual of [4100, 3995, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8101, 4100, F8, 29) (dual of [4100, 3999, 30]-code) [i]✔
6Linear OA(8110, 4105, F8, 31) (dual of [4105, 3995, 32]-code) [i]✔
7Linear OA(8102, 4105, F8, 29) (dual of [4105, 4003, 30]-code) [i]✔
8Linear OA(8117, 4112, F8, 33) (dual of [4112, 3995, 34]-code) [i]✔
9Linear OA(8104, 4111, F8, 29) (dual of [4111, 4007, 30]-code) [i]✔
10Linear OA(8123, 4118, F8, 34) (dual of [4118, 3995, 35]-code) [i]✔
11Linear OA(8105, 4116, F8, 29) (dual of [4116, 4011, 30]-code) [i]✔
12Linear OA(8128, 4123, F8, 35) (dual of [4123, 3995, 36]-code) [i]✔
13Linear OA(8108, 4123, F8, 29) (dual of [4123, 4015, 30]-code) [i]✔
14Linear OA(8136, 4131, F8, 36) (dual of [4131, 3995, 37]-code) [i]✔
15Linear OA(8112, 4131, F8, 29) (dual of [4131, 4019, 30]-code) [i]✔
16Linear OA(8142, 4137, F8, 37) (dual of [4137, 3995, 38]-code) [i]✔
17Linear OA(8147, 4142, F8, 38) (dual of [4142, 3995, 39]-code) [i]✔
18Linear OA(8152, 4147, F8, 39) (dual of [4147, 3995, 40]-code) [i]✔
19Linear OA(8159, 4154, F8, 41) (dual of [4154, 3995, 42]-code) [i]✔
20Linear OA(8157, 4152, F8, 40) (dual of [4152, 3995, 41]-code) [i]✔
21Linear OA(8165, 4160, F8, 42) (dual of [4160, 3995, 43]-code) [i]✔
22Linear OA(8122, 4116, F8, 34) (dual of [4116, 3994, 35]-code) [i]✔
23Linear OA(8135, 4130, F8, 36) (dual of [4130, 3995, 37]-code) [i]✔
24Linear OA(8111, 4130, F8, 29) (dual of [4130, 4019, 30]-code) [i]✔
25Linear OA(8135, 4129, F8, 36) (dual of [4129, 3994, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(8134, 4127, F8, 36) (dual of [4127, 3993, 37]-code) [i]✔
27Linear OA(8133, 4125, F8, 36) (dual of [4125, 3992, 37]-code) [i]✔
28Linear OA(8131, 4129, F8, 35) (dual of [4129, 3998, 36]-code) [i]✔
29Linear OA(8130, 4127, F8, 35) (dual of [4127, 3997, 36]-code) [i]✔
30Linear OA(8129, 4125, F8, 35) (dual of [4125, 3996, 36]-code) [i]✔
31Linear OA(8122, 4114, F8, 34) (dual of [4114, 3992, 35]-code) [i]✔
32Linear OA(8115, 4107, F8, 32) (dual of [4107, 3992, 33]-code) [i]✔
33Linear OA(8118, 4114, F8, 33) (dual of [4114, 3996, 34]-code) [i]✔
34Linear OA(8111, 4107, F8, 31) (dual of [4107, 3996, 32]-code) [i]✔
35Linear OA(8103, 4107, F8, 29) (dual of [4107, 4004, 30]-code) [i]✔
36Linear OA(8107, 4119, F8, 29) (dual of [4119, 4012, 30]-code) [i]✔
37Linear OA(8111, 4129, F8, 29) (dual of [4129, 4018, 30]-code) [i]✔
38Linear OA(8110, 4127, F8, 29) (dual of [4127, 4017, 30]-code) [i]✔
39Linear OA(8109, 4125, F8, 29) (dual of [4125, 4016, 30]-code) [i]✔