Information on Result #701186
Linear OA(517, 24, F5, 13) (dual of [24, 7, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(540, 46, F5, 27) (dual of [46, 6, 28]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(539, 44, F5, 27) (dual of [44, 5, 28]-code) | [i] | ||
| 3 | Linear OA(561, 66, F5, 41) (dual of [66, 5, 42]-code) | [i] | ||
| 4 | Linear OA(524, 36, F5, 14) (dual of [36, 12, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(522, 32, F5, 14) (dual of [32, 10, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(530, 37, F5, 20) (dual of [37, 7, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(5115, 148, F5, 62) (dual of [148, 33, 63]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(5117, 148, F5, 63) (dual of [148, 31, 64]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 9 | Linear OA(5116, 150, F5, 62) (dual of [150, 34, 63]-code) | [i] | ||