Information on Result #682864
Linear OA(531, 15624, F5, 7) (dual of [15624, 15593, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(531, 10174, F5, 2, 7) (dual of [(10174, 2), 20317, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(531, 10174, F5, 3, 7) (dual of [(10174, 3), 30491, 8]-NRT-code) | [i] | ||
| 3 | Digital (24, 31, 10174)-net over F5 | [i] | ||
| 4 | Linear OA(532, 15633, F5, 7) (dual of [15633, 15601, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |