Information on Result #710111
Linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,63}, and designed minimum distance d ≥ |I|+1 = 40
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.
Compare with Markus Grassl’s online database of code parameters.
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(582, 139, F5, 39) (dual of [139, 57, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(588, 139, F5, 43) (dual of [139, 51, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(587, 137, F5, 43) (dual of [137, 50, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(586, 133, F5, 43) (dual of [133, 47, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(5111, 170, F5, 48) (dual of [170, 59, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(5110, 166, F5, 48) (dual of [166, 56, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(5108, 161, F5, 48) (dual of [161, 53, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(5105, 156, F5, 48) (dual of [156, 51, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(5104, 154, F5, 48) (dual of [154, 50, 49]-code) | [i] | ✔ | |