Information on Result #694954
Linear OA(27109, 19684, F27, 37) (dual of [19684, 19575, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, 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(27109, 13948, F27, 2, 37) (dual of [(13948, 2), 27787, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (72, 109, 13948)-net over F27 | [i] | ||
| 3 | Linear OA(27110, 19691, F27, 37) (dual of [19691, 19581, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |