Information on Result #696709
Linear OA(32109, 32769, F32, 37) (dual of [32769, 32660, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound)
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(32109, 19769, F32, 2, 37) (dual of [(19769, 2), 39429, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (72, 109, 19769)-net over F32 | [i] | ||
| 3 | Linear OA(32110, 32776, F32, 37) (dual of [32776, 32666, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |