Information on Result #615153

Linear OA(8125, 4096, F8, 36) (dual of [4096, 3971, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36

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(8125, 3781, F8, 2, 36) (dual of [(3781, 2), 7437, 37]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8125, 3781, F8, 3, 36) (dual of [(3781, 3), 11218, 37]-NRT-code) [i]
3Digital (89, 125, 3781)-net over F8 [i]
4Linear OA(8129, 4100, F8, 37) (dual of [4100, 3971, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8125, 4100, F8, 36) (dual of [4100, 3975, 37]-code) [i]✔
6Linear OA(8134, 4105, F8, 38) (dual of [4105, 3971, 39]-code) [i]✔
7Linear OA(8126, 4105, F8, 36) (dual of [4105, 3979, 37]-code) [i]✔
8Linear OA(8140, 4111, F8, 39) (dual of [4111, 3971, 40]-code) [i]✔
9Linear OA(8128, 4111, F8, 36) (dual of [4111, 3983, 37]-code) [i]✔
10Linear OA(8147, 4118, F8, 41) (dual of [4118, 3971, 42]-code) [i]✔
11Linear OA(8145, 4116, F8, 40) (dual of [4116, 3971, 41]-code) [i]✔
12Linear OA(8131, 4118, F8, 36) (dual of [4118, 3987, 37]-code) [i]✔
13Linear OA(8152, 4123, F8, 42) (dual of [4123, 3971, 43]-code) [i]✔
14Linear OA(8132, 4123, F8, 36) (dual of [4123, 3991, 37]-code) [i]✔
15Linear OA(8160, 4131, F8, 43) (dual of [4131, 3971, 44]-code) [i]✔
16Linear OA(8136, 4131, F8, 36) (dual of [4131, 3995, 37]-code) [i]✔
17Linear OA(8166, 4137, F8, 44) (dual of [4137, 3971, 45]-code) [i]✔
18Linear OA(8138, 4137, F8, 36) (dual of [4137, 3999, 37]-code) [i]✔
19Linear OA(8171, 4142, F8, 45) (dual of [4142, 3971, 46]-code) [i]✔
20Linear OA(8139, 4142, F8, 36) (dual of [4142, 4003, 37]-code) [i]✔
21Linear OA(8140, 4147, F8, 36) (dual of [4147, 4007, 37]-code) [i]✔
22Linear OA(8141, 4152, F8, 36) (dual of [4152, 4011, 37]-code) [i]✔
23Linear OA(8146, 4116, F8, 41) (dual of [4116, 3970, 42]-code) [i]✔
24Linear OA(8130, 4116, F8, 36) (dual of [4116, 3986, 37]-code) [i]✔
25Linear OA(8159, 4130, F8, 43) (dual of [4130, 3971, 44]-code) [i]✔
26Linear OA(8135, 4130, F8, 36) (dual of [4130, 3995, 37]-code) [i]✔
27Linear OA(8159, 4129, F8, 43) (dual of [4129, 3970, 44]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(8158, 4127, F8, 43) (dual of [4127, 3969, 44]-code) [i]✔
29Linear OA(8157, 4125, F8, 43) (dual of [4125, 3968, 44]-code) [i]✔
30Linear OA(8155, 4129, F8, 42) (dual of [4129, 3974, 43]-code) [i]✔
31Linear OA(8154, 4127, F8, 42) (dual of [4127, 3973, 43]-code) [i]✔
32Linear OA(8153, 4125, F8, 42) (dual of [4125, 3972, 43]-code) [i]✔
33Linear OA(8146, 4114, F8, 41) (dual of [4114, 3968, 42]-code) [i]✔
34Linear OA(8146, 4118, F8, 40) (dual of [4118, 3972, 41]-code) [i]✔
35Linear OA(8135, 4107, F8, 38) (dual of [4107, 3972, 39]-code) [i]✔
36Linear OA(8127, 4107, F8, 36) (dual of [4107, 3980, 37]-code) [i]✔
37Linear OA(8130, 4114, F8, 36) (dual of [4114, 3984, 37]-code) [i]✔
38Linear OA(8135, 4129, F8, 36) (dual of [4129, 3994, 37]-code) [i]✔
39Linear OA(8134, 4127, F8, 36) (dual of [4127, 3993, 37]-code) [i]✔
40Linear OA(8133, 4125, F8, 36) (dual of [4125, 3992, 37]-code) [i]✔