Information on Result #701165
Linear OA(512, 24, F5, 8) (dual of [24, 12, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(515, 33, F5, 8) (dual of [33, 18, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(514, 31, F5, 8) (dual of [31, 17, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(526, 40, F5, 14) (dual of [40, 14, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(525, 38, F5, 14) (dual of [38, 13, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(528, 38, F5, 17) (dual of [38, 10, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(577, 146, F5, 33) (dual of [146, 69, 34]-code) | [i] | ||
| 7 | Linear OA(5123, 146, F5, 73) (dual of [146, 23, 74]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(577, 144, F5, 33) (dual of [144, 67, 34]-code) | [i] | ||
| 9 | Linear OA(574, 144, F5, 32) (dual of [144, 70, 33]-code) | [i] | ||
| 10 | Linear OA(573, 146, F5, 31) (dual of [146, 73, 32]-code) | [i] | ||