Information on Result #712212
Linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {123,124,…,156}, and designed minimum distance d ≥ |I|+1 = 35
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5116, 633, F5, 37) (dual of [633, 517, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5122, 639, F5, 38) (dual of [639, 517, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(5127, 644, F5, 39) (dual of [644, 517, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(5142, 659, F5, 42) (dual of [659, 517, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(5141, 656, F5, 42) (dual of [656, 515, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(5140, 653, F5, 42) (dual of [653, 513, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(5149, 664, F5, 43) (dual of [664, 515, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(5147, 664, F5, 43) (dual of [664, 517, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(5146, 661, F5, 43) (dual of [661, 515, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(5145, 658, F5, 43) (dual of [658, 513, 44]-code) | [i] | ✔ | |