Information on Result #707344

Linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28

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(4101, 850, F4, 2, 27) (dual of [(850, 2), 1599, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4101, 850, F4, 3, 27) (dual of [(850, 3), 2449, 28]-NRT-code) [i]
3Digital (74, 101, 850)-net over F4 [i]
4Linear OA(4171, 1092, F4, 39) (dual of [1092, 921, 40]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4172, 1094, F4, 39) (dual of [1094, 922, 40]-code) [i]✔
6Linear OA(4135, 1077, F4, 32) (dual of [1077, 942, 33]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(4134, 1071, F4, 32) (dual of [1071, 937, 33]-code) [i]✔
8Linear OA(4125, 1060, F4, 31) (dual of [1060, 935, 32]-code) [i]✔
9Linear OA(4106, 1033, F4, 28) (dual of [1033, 927, 29]-code) [i]✔
10Linear OA(4133, 1070, F4, 32) (dual of [1070, 937, 33]-code) [i]✔
11Linear OA(4122, 1054, F4, 31) (dual of [1054, 932, 32]-code) [i]✔
12Linear OA(4121, 1051, F4, 31) (dual of [1051, 930, 32]-code) [i]✔
13Linear OA(4129, 1061, F4, 32) (dual of [1061, 932, 33]-code) [i]✔
14Linear OA(4128, 1055, F4, 32) (dual of [1055, 927, 33]-code) [i]✔
15Linear OA(4120, 1045, F4, 31) (dual of [1045, 925, 32]-code) [i]✔
16Linear OA(4127, 1049, F4, 32) (dual of [1049, 922, 33]-code) [i]✔
17Linear OA(4118, 1040, F4, 31) (dual of [1040, 922, 32]-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(4134, 1056, F4, 34) (dual of [1056, 922, 35]-code) [i]✔
22Linear OA(4142, 1063, F4, 35) (dual of [1063, 921, 36]-code) [i]✔
23Linear OA(4133, 1053, F4, 34) (dual of [1053, 920, 35]-code) [i]✔
24Linear OA(4141, 1063, F4, 35) (dual of [1063, 922, 36]-code) [i]✔
25Linear OA(4140, 1057, F4, 35) (dual of [1057, 917, 36]-code) [i]✔
26Linear OA(4149, 1070, F4, 36) (dual of [1070, 921, 37]-code) [i]✔
27Linear OA(4140, 1060, F4, 35) (dual of [1060, 920, 36]-code) [i]✔
28Linear OA(4148, 1070, F4, 36) (dual of [1070, 922, 37]-code) [i]✔
29Linear OA(4166, 1087, F4, 39) (dual of [1087, 921, 40]-code) [i]✔