Information on Result #615099

Linear OA(8109, 4096, F8, 31) (dual of [4096, 3987, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(8109, 3831, F8, 2, 31) (dual of [(3831, 2), 7553, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8109, 3831, F8, 3, 31) (dual of [(3831, 3), 11384, 32]-NRT-code) [i]
3Digital (78, 109, 3831)-net over F8 [i]
4Linear OA(8114, 4101, F8, 33) (dual of [4101, 3987, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8109, 4100, F8, 31) (dual of [4100, 3991, 32]-code) [i]✔
6Linear OA(8119, 4105, F8, 34) (dual of [4105, 3986, 35]-code) [i]✔
7Linear OA(8120, 4107, F8, 34) (dual of [4107, 3987, 35]-code) [i]✔
8Linear OA(8110, 4105, F8, 31) (dual of [4105, 3995, 32]-code) [i]✔
9Linear OA(8125, 4112, F8, 35) (dual of [4112, 3987, 36]-code) [i]✔
10Linear OA(8112, 4111, F8, 31) (dual of [4111, 3999, 32]-code) [i]✔
11Linear OA(8131, 4118, F8, 36) (dual of [4118, 3987, 37]-code) [i]✔
12Linear OA(8113, 4116, F8, 31) (dual of [4116, 4003, 32]-code) [i]✔
13Linear OA(8136, 4123, F8, 37) (dual of [4123, 3987, 38]-code) [i]✔
14Linear OA(8115, 4122, F8, 31) (dual of [4122, 4007, 32]-code) [i]✔
15Linear OA(8144, 4131, F8, 38) (dual of [4131, 3987, 39]-code) [i]✔
16Linear OA(8116, 4127, F8, 31) (dual of [4127, 4011, 32]-code) [i]✔
17Linear OA(8150, 4137, F8, 39) (dual of [4137, 3987, 40]-code) [i]✔
18Linear OA(8156, 4143, F8, 41) (dual of [4143, 3987, 42]-code) [i]✔
19Linear OA(8161, 4148, F8, 42) (dual of [4148, 3987, 43]-code) [i]✔
20Linear OA(8167, 4154, F8, 43) (dual of [4154, 3987, 44]-code) [i]✔
21Linear OA(8173, 4160, F8, 44) (dual of [4160, 3987, 45]-code) [i]✔
22Linear OA(8130, 4116, F8, 36) (dual of [4116, 3986, 37]-code) [i]✔
23Linear OA(8143, 4130, F8, 38) (dual of [4130, 3987, 39]-code) [i]✔
24Linear OA(8143, 4129, F8, 38) (dual of [4129, 3986, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(8142, 4127, F8, 38) (dual of [4127, 3985, 39]-code) [i]✔
26Linear OA(8141, 4125, F8, 38) (dual of [4125, 3984, 39]-code) [i]✔
27Linear OA(8139, 4129, F8, 37) (dual of [4129, 3990, 38]-code) [i]✔
28Linear OA(8138, 4127, F8, 37) (dual of [4127, 3989, 38]-code) [i]✔
29Linear OA(8137, 4125, F8, 37) (dual of [4125, 3988, 38]-code) [i]✔
30Linear OA(8130, 4114, F8, 36) (dual of [4114, 3984, 37]-code) [i]✔
31Linear OA(8126, 4114, F8, 35) (dual of [4114, 3988, 36]-code) [i]✔
32Linear OA(8111, 4107, F8, 31) (dual of [4107, 3996, 32]-code) [i]✔
33Linear OA(8114, 4118, F8, 31) (dual of [4118, 4004, 32]-code) [i]✔