Information on Result #712314
Linear OA(5135, 624, F5, 43) (dual of [624, 489, 44]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,37}, and designed minimum distance d ≥ |I|+1 = 44
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 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]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5145, 659, F5, 43) (dual of [659, 514, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5144, 657, F5, 43) (dual of [657, 513, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(5143, 654, F5, 43) (dual of [654, 511, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(5146, 663, F5, 43) (dual of [663, 517, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(5145, 660, F5, 43) (dual of [660, 515, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(5143, 656, F5, 43) (dual of [656, 513, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(5142, 653, F5, 43) (dual of [653, 511, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(5141, 648, F5, 43) (dual of [648, 507, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(5145, 648, F5, 44) (dual of [648, 503, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(5150, 655, F5, 45) (dual of [655, 505, 46]-code) | [i] | ✔ | |