Information on Result #680468

Linear OA(4121, 1024, F4, 33) (dual of [1024, 903, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, 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 OA(4126, 1029, F4, 34) (dual of [1029, 903, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4122, 1030, F4, 33) (dual of [1030, 908, 34]-code) [i]✔
3Linear OA(4122, 1035, F4, 32) (dual of [1035, 913, 33]-code) [i]✔
4Linear OA(4124, 1037, F4, 33) (dual of [1037, 913, 34]-code) [i]✔
5Linear OA(4140, 1041, F4, 37) (dual of [1041, 901, 38]-code) [i]✔
6Linear OA(4141, 1044, F4, 37) (dual of [1044, 903, 38]-code) [i]✔
7Linear OA(4139, 1042, F4, 36) (dual of [1042, 903, 37]-code) [i]✔
8Linear OA(4125, 1041, F4, 33) (dual of [1041, 916, 34]-code) [i]✔
9Linear OA(4126, 1044, F4, 33) (dual of [1044, 918, 34]-code) [i]✔
10Linear OA(4124, 1042, F4, 32) (dual of [1042, 918, 33]-code) [i]✔
11Linear OA(4148, 1051, F4, 38) (dual of [1051, 903, 39]-code) [i]✔
12Linear OA(4156, 1059, F4, 39) (dual of [1059, 903, 40]-code) [i]✔
13Linear OA(4133, 1058, F4, 33) (dual of [1058, 925, 34]-code) [i]✔
14Linear OA(4134, 1062, F4, 33) (dual of [1062, 928, 34]-code) [i]✔
15Linear OA(4131, 1059, F4, 32) (dual of [1059, 928, 33]-code) [i]✔
16Linear OA(4174, 1077, F4, 42) (dual of [1077, 903, 43]-code) [i]✔
17Linear OA(4140, 1078, F4, 33) (dual of [1078, 938, 34]-code) [i]✔
18Linear OA(4143, 1086, F4, 33) (dual of [1086, 943, 34]-code) [i]✔
19Linear OA(4140, 1083, F4, 32) (dual of [1083, 943, 33]-code) [i]✔
20Linear OA(4188, 1088, F4, 44) (dual of [1088, 900, 45]-code) [i]✔
21Linear OA(4143, 1088, F4, 32) (dual of [1088, 945, 33]-code) [i]✔
22Linear OA(4191, 1093, F4, 45) (dual of [1093, 902, 46]-code) [i]✔
23Linear OA(4192, 1095, F4, 45) (dual of [1095, 903, 46]-code) [i]✔
24Linear OA(4188, 1091, F4, 44) (dual of [1091, 903, 45]-code) [i]✔
25Linear OA(4143, 1091, F4, 32) (dual of [1091, 948, 33]-code) [i]✔
26Linear OA(4155, 1055, F4, 39) (dual of [1055, 900, 40]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
27Linear OA(4154, 1053, F4, 39) (dual of [1053, 899, 40]-code) [i]✔
28Linear OA(4147, 1046, F4, 38) (dual of [1046, 899, 39]-code) [i]✔
29Linear OA(4153, 1060, F4, 38) (dual of [1060, 907, 39]-code) [i]✔
30Linear OA(4152, 1058, F4, 38) (dual of [1058, 906, 39]-code) [i]✔
31Linear OA(4151, 1056, F4, 38) (dual of [1056, 905, 39]-code) [i]✔
32Linear OA(4150, 1054, F4, 38) (dual of [1054, 904, 39]-code) [i]✔
33Linear OA(4138, 1037, F4, 36) (dual of [1037, 899, 37]-code) [i]✔
34Linear OA(4145, 1051, F4, 37) (dual of [1051, 906, 38]-code) [i]✔
35Linear OA(4144, 1049, F4, 37) (dual of [1049, 905, 38]-code) [i]✔
36Linear OA(4142, 1047, F4, 36) (dual of [1047, 905, 37]-code) [i]✔
37Linear OA(4143, 1047, F4, 37) (dual of [1047, 904, 38]-code) [i]✔
38Linear OA(4141, 1045, F4, 36) (dual of [1045, 904, 37]-code) [i]✔
39Linear OA(4128, 1032, F4, 34) (dual of [1032, 904, 35]-code) [i]✔
40Linear OA(4123, 1032, F4, 33) (dual of [1032, 909, 34]-code) [i]✔
41Linear OA(4123, 1037, F4, 32) (dual of [1037, 914, 33]-code) [i]✔
42Linear OA(4130, 1051, F4, 33) (dual of [1051, 921, 34]-code) [i]✔
43Linear OA(4129, 1049, F4, 33) (dual of [1049, 920, 34]-code) [i]✔
44Linear OA(4127, 1047, F4, 32) (dual of [1047, 920, 33]-code) [i]✔
45Linear OA(4128, 1047, F4, 33) (dual of [1047, 919, 34]-code) [i]✔
46Linear OA(4126, 1045, F4, 32) (dual of [1045, 919, 33]-code) [i]✔
47Linear OA(4130, 1055, F4, 32) (dual of [1055, 925, 33]-code) [i]✔
48Linear OOA(4121, 512, F4, 2, 33) (dual of [(512, 2), 903, 34]-NRT-code) [i]OOA Folding