Information on Result #687172

Linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33

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 OOA(8113, 3230, F8, 2, 33) (dual of [(3230, 2), 6347, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8113, 3230, F8, 3, 33) (dual of [(3230, 3), 9577, 34]-NRT-code) [i]
3Digital (80, 113, 3230)-net over F8 [i]
4Linear OA(8117, 4100, F8, 34) (dual of [4100, 3983, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8114, 4101, F8, 33) (dual of [4101, 3987, 34]-code) [i]✔
6Linear OA(8114, 4105, F8, 32) (dual of [4105, 3991, 33]-code) [i]✔
7Linear OA(8115, 4105, F8, 33) (dual of [4105, 3990, 34]-code) [i]✔
8Linear OA(8128, 4111, F8, 36) (dual of [4111, 3983, 37]-code) [i]✔
9Linear OA(8117, 4112, F8, 33) (dual of [4112, 3995, 34]-code) [i]✔
10Linear OA(8119, 4118, F8, 33) (dual of [4118, 3999, 34]-code) [i]✔
11Linear OA(8117, 4116, F8, 32) (dual of [4116, 3999, 33]-code) [i]✔
12Linear OA(8139, 4122, F8, 38) (dual of [4122, 3983, 39]-code) [i]✔
13Linear OA(8120, 4123, F8, 33) (dual of [4123, 4003, 34]-code) [i]✔
14Linear OA(8124, 4131, F8, 33) (dual of [4131, 4007, 34]-code) [i]✔
15Linear OA(8120, 4127, F8, 32) (dual of [4127, 4007, 33]-code) [i]✔
16Linear OA(8154, 4137, F8, 41) (dual of [4137, 3983, 42]-code) [i]✔
17Linear OA(8152, 4135, F8, 40) (dual of [4135, 3983, 41]-code) [i]✔
18Linear OA(8126, 4137, F8, 33) (dual of [4137, 4011, 34]-code) [i]✔
19Linear OA(8124, 4135, F8, 32) (dual of [4135, 4011, 33]-code) [i]✔
20Linear OA(8159, 4142, F8, 42) (dual of [4142, 3983, 43]-code) [i]✔
21Linear OA(8164, 4147, F8, 43) (dual of [4147, 3983, 44]-code) [i]✔
22Linear OA(8129, 4148, F8, 33) (dual of [4148, 4019, 34]-code) [i]✔
23Linear OA(8169, 4152, F8, 44) (dual of [4152, 3983, 45]-code) [i]✔
24Linear OA(8118, 4116, F8, 33) (dual of [4116, 3998, 34]-code) [i]✔
25Linear OA(8123, 4130, F8, 33) (dual of [4130, 4007, 34]-code) [i]✔
26Linear OA(8151, 4134, F8, 40) (dual of [4134, 3983, 41]-code) [i]✔
27Linear OA(8123, 4134, F8, 32) (dual of [4134, 4011, 33]-code) [i]✔
28Linear OA(8138, 4118, F8, 38) (dual of [4118, 3980, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(8143, 4129, F8, 38) (dual of [4129, 3986, 39]-code) [i]✔
30Linear OA(8142, 4127, F8, 38) (dual of [4127, 3985, 39]-code) [i]✔
31Linear OA(8141, 4125, F8, 38) (dual of [4125, 3984, 39]-code) [i]✔
32Linear OA(8127, 4107, F8, 36) (dual of [4107, 3980, 37]-code) [i]✔
33Linear OA(8130, 4114, F8, 36) (dual of [4114, 3984, 37]-code) [i]✔
34Linear OA(8115, 4107, F8, 32) (dual of [4107, 3992, 33]-code) [i]✔
35Linear OA(8118, 4114, F8, 33) (dual of [4114, 3996, 34]-code) [i]✔
36Linear OA(8118, 4118, F8, 32) (dual of [4118, 4000, 33]-code) [i]✔
37Linear OA(8123, 4129, F8, 33) (dual of [4129, 4006, 34]-code) [i]✔
38Linear OA(8122, 4127, F8, 33) (dual of [4127, 4005, 34]-code) [i]✔
39Linear OA(8121, 4125, F8, 33) (dual of [4125, 4004, 34]-code) [i]✔
40Linear OOA(8113, 2048, F8, 2, 33) (dual of [(2048, 2), 3983, 34]-NRT-code) [i]OOA Folding
41Linear OOA(8113, 1365, F8, 3, 33) (dual of [(1365, 3), 3982, 34]-NRT-code) [i]