Information on Result #710365
Linear OA(5108, 124, F5, 69) (dual of [124, 16, 70]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,63}, and designed minimum distance d ≥ |I|+1 = 70
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5114, 139, F5, 69) (dual of [139, 25, 70]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5114, 140, F5, 69) (dual of [140, 26, 70]-code) | [i] | ✔ | |
| 3 | Linear OA(5113, 138, F5, 69) (dual of [138, 25, 70]-code) | [i] | ✔ | |
| 4 | Linear OA(5121, 144, F5, 73) (dual of [144, 23, 74]-code) | [i] | ✔ | |
| 5 | Linear OA(5118, 141, F5, 71) (dual of [141, 23, 72]-code) | [i] | ✔ | |
| 6 | Linear OA(5120, 142, F5, 73) (dual of [142, 22, 74]-code) | [i] | ✔ | |
| 7 | Linear OA(5119, 141, F5, 73) (dual of [141, 22, 74]-code) | [i] | ✔ | |
| 8 | Linear OA(5115, 137, F5, 70) (dual of [137, 22, 71]-code) | [i] | ✔ | |