Information on Result #709370
Linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,53}, and designed minimum distance d ≥ |I|+1 = 59
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4230, 1073, F4, 58) (dual of [1073, 843, 59]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4222, 1049, F4, 58) (dual of [1049, 827, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(4225, 1060, F4, 58) (dual of [1060, 835, 59]-code) | [i] | ✔ | |
| 4 | Linear OA(4223, 1053, F4, 58) (dual of [1053, 830, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(4221, 1048, F4, 58) (dual of [1048, 827, 59]-code) | [i] | ✔ | |
| 6 | Linear OA(4220, 1045, F4, 58) (dual of [1045, 825, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(4225, 1045, F4, 59) (dual of [1045, 820, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(4236, 1059, F4, 61) (dual of [1059, 823, 62]-code) | [i] | ✔ | |
| 9 | Linear OA(4235, 1057, F4, 61) (dual of [1057, 822, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(4234, 1056, F4, 61) (dual of [1056, 822, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(4233, 1053, F4, 61) (dual of [1053, 820, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4240, 1060, F4, 62) (dual of [1060, 820, 63]-code) | [i] | ✔ | |