Information on Result #708099
Linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,342}, and designed minimum distance d ≥ |I|+1 = 32
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
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(4116, 928, F4, 2, 31) (dual of [(928, 2), 1740, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4116, 928, F4, 3, 31) (dual of [(928, 3), 2668, 32]-NRT-code) | [i] | ||
3 | Digital (85, 116, 928)-net over F4 | [i] | ||
4 | Linear OA(4130, 1066, F4, 31) (dual of [1066, 936, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(4129, 1064, F4, 31) (dual of [1064, 935, 32]-code) | [i] | ✔ | |
6 | Linear OA(4128, 1062, F4, 31) (dual of [1062, 934, 32]-code) | [i] | ✔ | |
7 | Linear OA(4119, 1041, F4, 31) (dual of [1041, 922, 32]-code) | [i] | ✔ | |
8 | Linear OA(4129, 1041, F4, 34) (dual of [1041, 912, 35]-code) | [i] | ✔ | |
9 | Linear OA(4128, 1033, F4, 34) (dual of [1033, 905, 35]-code) | [i] | ✔ | |
10 | Linear OA(4161, 1086, F4, 38) (dual of [1086, 925, 39]-code) | [i] | ✔ | |
11 | Linear OA(4160, 1084, F4, 38) (dual of [1084, 924, 39]-code) | [i] | ✔ | |
12 | Linear OA(4159, 1079, F4, 38) (dual of [1079, 920, 39]-code) | [i] | ✔ | |
13 | Linear OA(4158, 1077, F4, 38) (dual of [1077, 919, 39]-code) | [i] | ✔ | |
14 | Linear OA(4157, 1072, F4, 38) (dual of [1072, 915, 39]-code) | [i] | ✔ | |
15 | Linear OA(4156, 1070, F4, 38) (dual of [1070, 914, 39]-code) | [i] | ✔ | |
16 | Linear OA(4155, 1066, F4, 38) (dual of [1066, 911, 39]-code) | [i] | ✔ | |
17 | Linear OA(4154, 1064, F4, 38) (dual of [1064, 910, 39]-code) | [i] | ✔ | |
18 | Linear OA(4153, 1062, F4, 38) (dual of [1062, 909, 39]-code) | [i] | ✔ | |
19 | Linear OA(4167, 1072, F4, 41) (dual of [1072, 905, 42]-code) | [i] | ✔ | |
20 | Linear OA(4166, 1070, F4, 41) (dual of [1070, 904, 42]-code) | [i] | ✔ | |
21 | Linear OA(4174, 1079, F4, 42) (dual of [1079, 905, 43]-code) | [i] | ✔ | |
22 | Linear OA(4173, 1077, F4, 42) (dual of [1077, 904, 43]-code) | [i] | ✔ | |
23 | Linear OA(4181, 1086, F4, 43) (dual of [1086, 905, 44]-code) | [i] | ✔ |