Information on Result #712375
Linear OA(5127, 624, F5, 40) (dual of [624, 497, 41]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {118,119,…,157}, and designed minimum distance d ≥ |I|+1 = 41
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5132, 633, F5, 42) (dual of [633, 501, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5146, 655, F5, 44) (dual of [655, 509, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(5138, 639, F5, 43) (dual of [639, 501, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(5144, 649, F5, 44) (dual of [649, 505, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(5143, 644, F5, 44) (dual of [644, 501, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(5150, 653, F5, 45) (dual of [653, 503, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(5148, 645, F5, 46) (dual of [645, 497, 47]-code) | [i] | ✔ | |