Information on Result #707355

Linear OA(4106, 1023, F4, 29) (dual of [1023, 917, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30

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(4106, 779, F4, 2, 29) (dual of [(779, 2), 1452, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4106, 779, F4, 3, 29) (dual of [(779, 3), 2231, 30]-NRT-code) [i]
3Digital (77, 106, 779)-net over F4 [i]
4Linear OA(4176, 1092, F4, 41) (dual of [1092, 916, 42]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4177, 1094, F4, 41) (dual of [1094, 917, 42]-code) [i]✔
6Linear OA(4151, 1087, F4, 35) (dual of [1087, 936, 36]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(4131, 1063, F4, 33) (dual of [1063, 932, 34]-code) [i]✔
8Linear OA(4130, 1060, F4, 33) (dual of [1060, 930, 34]-code) [i]✔
9Linear OA(4128, 1058, F4, 32) (dual of [1058, 930, 33]-code) [i]✔
10Linear OA(4118, 1040, F4, 31) (dual of [1040, 922, 32]-code) [i]✔
11Linear OA(4138, 1070, F4, 34) (dual of [1070, 932, 35]-code) [i]✔
12Linear OA(4137, 1064, F4, 34) (dual of [1064, 927, 35]-code) [i]✔
13Linear OA(4129, 1056, F4, 33) (dual of [1056, 927, 34]-code) [i]✔
14Linear OA(4128, 1053, F4, 33) (dual of [1053, 925, 34]-code) [i]✔
15Linear OA(4146, 1077, F4, 35) (dual of [1077, 931, 36]-code) [i]✔
16Linear OA(4136, 1063, F4, 34) (dual of [1063, 927, 35]-code) [i]✔
17Linear OA(4135, 1057, F4, 34) (dual of [1057, 922, 35]-code) [i]✔
18Linear OA(4127, 1049, F4, 33) (dual of [1049, 922, 34]-code) [i]✔
19Linear OA(4125, 1047, F4, 32) (dual of [1047, 922, 33]-code) [i]✔
20Linear OA(4126, 1046, F4, 33) (dual of [1046, 920, 34]-code) [i]✔
21Linear OA(4144, 1070, F4, 35) (dual of [1070, 926, 36]-code) [i]✔
22Linear OA(4134, 1056, F4, 34) (dual of [1056, 922, 35]-code) [i]✔
23Linear OA(4154, 1079, F4, 36) (dual of [1079, 925, 37]-code) [i]✔
24Linear OA(4142, 1063, F4, 35) (dual of [1063, 921, 36]-code) [i]✔
25Linear OA(4152, 1072, F4, 36) (dual of [1072, 920, 37]-code) [i]✔
26Linear OA(4116, 1033, F4, 31) (dual of [1033, 917, 32]-code) [i]✔
27Linear OA(4122, 1039, F4, 32) (dual of [1039, 917, 33]-code) [i]✔
28Linear OA(4131, 1048, F4, 34) (dual of [1048, 917, 35]-code) [i]✔
29Linear OA(4130, 1045, F4, 34) (dual of [1045, 915, 35]-code) [i]✔
30Linear OA(4138, 1055, F4, 35) (dual of [1055, 917, 36]-code) [i]✔
31Linear OA(4137, 1049, F4, 35) (dual of [1049, 912, 36]-code) [i]✔
32Linear OA(4146, 1062, F4, 36) (dual of [1062, 916, 37]-code) [i]✔
33Linear OA(4137, 1054, F4, 35) (dual of [1054, 917, 36]-code) [i]✔
34Linear OA(4136, 1051, F4, 35) (dual of [1051, 915, 36]-code) [i]✔
35Linear OA(4144, 1061, F4, 36) (dual of [1061, 917, 37]-code) [i]✔
36Linear OA(4143, 1055, F4, 36) (dual of [1055, 912, 37]-code) [i]✔
37Linear OA(4146, 1063, F4, 37) (dual of [1063, 917, 38]-code) [i]✔
38Linear OA(4145, 1060, F4, 37) (dual of [1060, 915, 38]-code) [i]✔
39Linear OA(4143, 1058, F4, 36) (dual of [1058, 915, 37]-code) [i]✔
40Linear OA(4153, 1070, F4, 38) (dual of [1070, 917, 39]-code) [i]✔
41Linear OA(4152, 1064, F4, 38) (dual of [1064, 912, 39]-code) [i]✔
42Linear OA(4161, 1077, F4, 39) (dual of [1077, 916, 40]-code) [i]✔
43Linear OA(4169, 1079, F4, 40) (dual of [1079, 910, 41]-code) [i]✔
44Linear OA(4160, 1077, F4, 39) (dual of [1077, 917, 40]-code) [i]✔
45Linear OA(4159, 1071, F4, 39) (dual of [1071, 912, 40]-code) [i]✔
46Linear OA(4168, 1084, F4, 40) (dual of [1084, 916, 41]-code) [i]✔
47Linear OOA(4106, 341, F4, 3, 29) (dual of [(341, 3), 917, 30]-NRT-code) [i]OOA Folding