Information on Result #708108
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 = {313,314,…,343}, 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(4132, 1073, F4, 31) (dual of [1073, 941, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4127, 1064, F4, 31) (dual of [1064, 937, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(4123, 1035, F4, 33) (dual of [1035, 912, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4156, 1083, F4, 37) (dual of [1083, 927, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(4146, 1064, F4, 36) (dual of [1064, 918, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(4151, 1073, F4, 37) (dual of [1073, 922, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4150, 1067, F4, 37) (dual of [1067, 917, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4149, 1066, F4, 37) (dual of [1066, 917, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4148, 1060, F4, 37) (dual of [1060, 912, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4147, 1059, F4, 37) (dual of [1059, 912, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4166, 1073, F4, 41) (dual of [1073, 907, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4165, 1067, F4, 41) (dual of [1067, 902, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(4173, 1080, F4, 42) (dual of [1080, 907, 43]-code) | [i] | ✔ | |