Information on Result #707325
Linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36
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
- 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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4131, 1008, F4, 2, 35) (dual of [(1008, 2), 1885, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4131, 1008, F4, 3, 35) (dual of [(1008, 3), 2893, 36]-NRT-code) | [i] | ||
| 3 | Digital (96, 131, 1008)-net over F4 | [i] | ||
| 4 | Linear OA(4156, 1092, F4, 35) (dual of [1092, 936, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4201, 1092, F4, 47) (dual of [1092, 891, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(4202, 1094, F4, 47) (dual of [1094, 892, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4165, 1077, F4, 40) (dual of [1077, 912, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(4164, 1071, F4, 40) (dual of [1071, 907, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4155, 1060, F4, 39) (dual of [1060, 905, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(4136, 1033, F4, 36) (dual of [1033, 897, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(4163, 1070, F4, 40) (dual of [1070, 907, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(4152, 1054, F4, 39) (dual of [1054, 902, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(4151, 1051, F4, 39) (dual of [1051, 900, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(4159, 1061, F4, 40) (dual of [1061, 902, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(4158, 1055, F4, 40) (dual of [1055, 897, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(4150, 1045, F4, 39) (dual of [1045, 895, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4157, 1049, F4, 40) (dual of [1049, 892, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(4148, 1040, F4, 39) (dual of [1040, 892, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(4157, 1049, F4, 41) (dual of [1049, 892, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(4155, 1047, F4, 40) (dual of [1047, 892, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(4156, 1046, F4, 41) (dual of [1046, 890, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(4164, 1056, F4, 42) (dual of [1056, 892, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(4172, 1063, F4, 43) (dual of [1063, 891, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(4163, 1053, F4, 42) (dual of [1053, 890, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(4171, 1063, F4, 43) (dual of [1063, 892, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(4170, 1057, F4, 43) (dual of [1057, 887, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(4179, 1070, F4, 44) (dual of [1070, 891, 45]-code) | [i] | ✔ | |
| 28 | Linear OA(4170, 1060, F4, 43) (dual of [1060, 890, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(4178, 1070, F4, 44) (dual of [1070, 892, 45]-code) | [i] | ✔ | |
| 30 | Linear OA(4196, 1087, F4, 47) (dual of [1087, 891, 48]-code) | [i] | ✔ | |