Information on Result #712311
Linear OA(5118, 624, F5, 37) (dual of [624, 506, 38]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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 OA(5125, 639, F5, 39) (dual of [639, 514, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5145, 659, F5, 43) (dual of [659, 514, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(5144, 657, F5, 43) (dual of [657, 513, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(5143, 654, F5, 43) (dual of [654, 511, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(5150, 661, F5, 44) (dual of [661, 511, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 658, F5, 44) (dual of [658, 509, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(5148, 653, F5, 44) (dual of [653, 505, 45]-code) | [i] | ✔ | |