Information on Result #707965
Linear OA(480, 1023, F4, 21) (dual of [1023, 943, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(480, 828, F4, 2, 21) (dual of [(828, 2), 1576, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(480, 828, F4, 3, 21) (dual of [(828, 3), 2404, 22]-NRT-code) | [i] | ||
| 3 | Digital (59, 80, 828)-net over F4 | [i] | ||
| 4 | Linear OA(4110, 1073, F4, 26) (dual of [1073, 963, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4118, 1081, F4, 27) (dual of [1081, 963, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4125, 1084, F4, 28) (dual of [1084, 959, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(4123, 1077, F4, 28) (dual of [1077, 954, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(4121, 1070, F4, 28) (dual of [1070, 949, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(4102, 1049, F4, 26) (dual of [1049, 947, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4118, 1062, F4, 28) (dual of [1062, 944, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(4116, 1059, F4, 29) (dual of [1059, 943, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(4115, 1057, F4, 29) (dual of [1057, 942, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(4124, 1067, F4, 30) (dual of [1067, 943, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(4132, 1072, F4, 31) (dual of [1072, 940, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(4131, 1070, F4, 31) (dual of [1070, 939, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(4138, 1077, F4, 32) (dual of [1077, 939, 33]-code) | [i] | ✔ | |