Information on Result #707373

Linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34

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(4121, 863, F4, 2, 33) (dual of [(863, 2), 1605, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4121, 863, F4, 3, 33) (dual of [(863, 3), 2468, 34]-NRT-code) [i]
3Digital (88, 121, 863)-net over F4 [i]
4Linear OA(4191, 1092, F4, 45) (dual of [1092, 901, 46]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4192, 1094, F4, 45) (dual of [1094, 902, 46]-code) [i]✔
6Linear OA(4166, 1087, F4, 39) (dual of [1087, 921, 40]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(4146, 1063, F4, 37) (dual of [1063, 917, 38]-code) [i]✔
8Linear OA(4145, 1060, F4, 37) (dual of [1060, 915, 38]-code) [i]✔
9Linear OA(4143, 1058, F4, 36) (dual of [1058, 915, 37]-code) [i]✔
10Linear OA(4133, 1040, F4, 35) (dual of [1040, 907, 36]-code) [i]✔
11Linear OA(4153, 1070, F4, 38) (dual of [1070, 917, 39]-code) [i]✔
12Linear OA(4152, 1064, F4, 38) (dual of [1064, 912, 39]-code) [i]✔
13Linear OA(4144, 1056, F4, 37) (dual of [1056, 912, 38]-code) [i]✔
14Linear OA(4143, 1053, F4, 37) (dual of [1053, 910, 38]-code) [i]✔
15Linear OA(4161, 1077, F4, 39) (dual of [1077, 916, 40]-code) [i]✔
16Linear OA(4151, 1063, F4, 38) (dual of [1063, 912, 39]-code) [i]✔
17Linear OA(4150, 1057, F4, 38) (dual of [1057, 907, 39]-code) [i]✔
18Linear OA(4142, 1049, F4, 37) (dual of [1049, 907, 38]-code) [i]✔
19Linear OA(4140, 1047, F4, 36) (dual of [1047, 907, 37]-code) [i]✔
20Linear OA(4141, 1046, F4, 37) (dual of [1046, 905, 38]-code) [i]✔
21Linear OA(4159, 1070, F4, 39) (dual of [1070, 911, 40]-code) [i]✔
22Linear OA(4149, 1056, F4, 38) (dual of [1056, 907, 39]-code) [i]✔
23Linear OA(4169, 1079, F4, 40) (dual of [1079, 910, 41]-code) [i]✔
24Linear OA(4157, 1063, F4, 39) (dual of [1063, 906, 40]-code) [i]✔
25Linear OA(4167, 1072, F4, 40) (dual of [1072, 905, 41]-code) [i]✔
26Linear OA(4131, 1033, F4, 35) (dual of [1033, 902, 36]-code) [i]✔
27Linear OA(4137, 1039, F4, 36) (dual of [1039, 902, 37]-code) [i]✔
28Linear OA(4146, 1048, F4, 38) (dual of [1048, 902, 39]-code) [i]✔
29Linear OA(4145, 1045, F4, 38) (dual of [1045, 900, 39]-code) [i]✔
30Linear OA(4153, 1055, F4, 39) (dual of [1055, 902, 40]-code) [i]✔
31Linear OA(4152, 1049, F4, 39) (dual of [1049, 897, 40]-code) [i]✔
32Linear OA(4161, 1062, F4, 40) (dual of [1062, 901, 41]-code) [i]✔
33Linear OA(4152, 1054, F4, 39) (dual of [1054, 902, 40]-code) [i]✔
34Linear OA(4151, 1051, F4, 39) (dual of [1051, 900, 40]-code) [i]✔
35Linear OA(4159, 1061, F4, 40) (dual of [1061, 902, 41]-code) [i]✔
36Linear OA(4158, 1055, F4, 40) (dual of [1055, 897, 41]-code) [i]✔
37Linear OA(4161, 1063, F4, 41) (dual of [1063, 902, 42]-code) [i]✔
38Linear OA(4160, 1060, F4, 41) (dual of [1060, 900, 42]-code) [i]✔
39Linear OA(4158, 1058, F4, 40) (dual of [1058, 900, 41]-code) [i]✔
40Linear OA(4168, 1070, F4, 42) (dual of [1070, 902, 43]-code) [i]✔
41Linear OA(4167, 1064, F4, 42) (dual of [1064, 897, 43]-code) [i]✔
42Linear OA(4176, 1077, F4, 43) (dual of [1077, 901, 44]-code) [i]✔
43Linear OA(4184, 1079, F4, 44) (dual of [1079, 895, 45]-code) [i]✔
44Linear OA(4175, 1077, F4, 43) (dual of [1077, 902, 44]-code) [i]✔
45Linear OA(4174, 1071, F4, 43) (dual of [1071, 897, 44]-code) [i]✔
46Linear OA(4183, 1084, F4, 44) (dual of [1084, 901, 45]-code) [i]✔
47Linear OOA(4121, 341, F4, 3, 33) (dual of [(341, 3), 902, 34]-NRT-code) [i]OOA Folding