Information on Result #701171
Linear OA(516, 24, F5, 12) (dual of [24, 8, 13]-code), using the primitive cyclic code C(A) with length 24 = 52−1, defining set A = {0,1,2,3,4,9,14,18,19}, and minimum distance d ≥ |{−6,−5,…,5}|+1 = 13 (BCH-bound)
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Contraction (with Narrow-Sense BCH-Code) (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(538, 44, F5, 25) (dual of [44, 6, 26]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(537, 42, F5, 25) (dual of [42, 5, 26]-code) | [i] | ||
| 3 | Linear OA(558, 63, F5, 38) (dual of [63, 5, 39]-code) | [i] | ||
| 4 | Linear OA(526, 40, F5, 14) (dual of [40, 14, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OOA(516, 12, F5, 2, 12) (dual of [(12, 2), 8, 13]-NRT-code) | [i] | OOA Folding | |