Information on Result #675753
Linear OA(3228, 2201, F3, 48) (dual of [2201, 1973, 49]-code), using construction X applied to C([0,24]) ⊂ C([0,22]) based on
- linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(3211, 2188, F3, 45) (dual of [2188, 1977, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3228, 1993, F3, 2, 48) (dual of [(1993, 2), 3758, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3228, 1993, F3, 3, 48) (dual of [(1993, 3), 5751, 49]-NRT-code) | [i] | ||
| 3 | Linear OOA(3228, 1993, F3, 4, 48) (dual of [(1993, 4), 7744, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(3228, 1993, F3, 5, 48) (dual of [(1993, 5), 9737, 49]-NRT-code) | [i] | ||
| 5 | Digital (180, 228, 1993)-net over F3 | [i] | ||