Information on Result #711898
Linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {120,121,…,156}, and designed minimum distance d ≥ |I|+1 = 38
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5133, 664, F5, 38) (dual of [664, 531, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5138, 669, F5, 39) (dual of [669, 531, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(5136, 663, F5, 39) (dual of [663, 527, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(5144, 675, F5, 40) (dual of [675, 531, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(5123, 644, F5, 38) (dual of [644, 521, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(5122, 639, F5, 38) (dual of [639, 517, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(5135, 644, F5, 42) (dual of [644, 509, 43]-code) | [i] | ✔ | |