Information on Result #707359

Linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,29], 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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4111, 852, F4, 2, 30) (dual of [(852, 2), 1593, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4111, 852, F4, 3, 30) (dual of [(852, 3), 2445, 31]-NRT-code) [i]
3Digital (81, 111, 852)-net over F4 [i]
4Linear OA(4181, 1092, F4, 42) (dual of [1092, 911, 43]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4182, 1094, F4, 42) (dual of [1094, 912, 43]-code) [i]✔
6Linear OA(4145, 1077, F4, 35) (dual of [1077, 932, 36]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(4144, 1071, F4, 35) (dual of [1071, 927, 36]-code) [i]✔
8Linear OA(4135, 1060, F4, 34) (dual of [1060, 925, 35]-code) [i]✔
9Linear OA(4116, 1033, F4, 31) (dual of [1033, 917, 32]-code) [i]✔
10Linear OA(4153, 1084, F4, 36) (dual of [1084, 931, 37]-code) [i]✔
11Linear OA(4143, 1070, F4, 35) (dual of [1070, 927, 36]-code) [i]✔
12Linear OA(4133, 1053, F4, 34) (dual of [1053, 920, 35]-code) [i]✔
13Linear OA(4122, 1039, F4, 32) (dual of [1039, 917, 33]-code) [i]✔
14Linear OA(4151, 1077, F4, 36) (dual of [1077, 926, 37]-code) [i]✔
15Linear OA(4141, 1063, F4, 35) (dual of [1063, 922, 36]-code) [i]✔
16Linear OA(4140, 1057, F4, 35) (dual of [1057, 917, 36]-code) [i]✔
17Linear OA(4149, 1070, F4, 36) (dual of [1070, 921, 37]-code) [i]✔
18Linear OA(4131, 1048, F4, 34) (dual of [1048, 917, 35]-code) [i]✔
19Linear OA(4130, 1045, F4, 34) (dual of [1045, 915, 35]-code) [i]✔
20Linear OA(4138, 1055, F4, 35) (dual of [1055, 917, 36]-code) [i]✔
21Linear OA(4137, 1049, F4, 35) (dual of [1049, 912, 36]-code) [i]✔
22Linear OA(4146, 1062, F4, 36) (dual of [1062, 916, 37]-code) [i]✔
23Linear OA(4121, 1033, F4, 32) (dual of [1033, 912, 33]-code) [i]✔
24Linear OA(4135, 1045, F4, 35) (dual of [1045, 910, 36]-code) [i]✔
25Linear OA(4142, 1049, F4, 36) (dual of [1049, 907, 37]-code) [i]✔
26Linear OA(4144, 1056, F4, 37) (dual of [1056, 912, 38]-code) [i]✔
27Linear OA(4143, 1053, F4, 37) (dual of [1053, 910, 38]-code) [i]✔
28Linear OA(4151, 1063, F4, 38) (dual of [1063, 912, 39]-code) [i]✔
29Linear OA(4150, 1057, F4, 38) (dual of [1057, 907, 39]-code) [i]✔
30Linear OA(4159, 1070, F4, 39) (dual of [1070, 911, 40]-code) [i]✔
31Linear OA(4167, 1072, F4, 40) (dual of [1072, 905, 41]-code) [i]✔
32Linear OA(4150, 1060, F4, 38) (dual of [1060, 910, 39]-code) [i]✔
33Linear OA(4158, 1070, F4, 39) (dual of [1070, 912, 40]-code) [i]✔
34Linear OA(4166, 1077, F4, 40) (dual of [1077, 911, 41]-code) [i]✔
35Linear OA(4165, 1077, F4, 40) (dual of [1077, 912, 41]-code) [i]✔
36Linear OA(4164, 1071, F4, 40) (dual of [1071, 907, 41]-code) [i]✔