Information on Result #675811
Linear OA(3219, 2216, F3, 45) (dual of [2216, 1997, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,19]) based on
- 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(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
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(3219, 2175, F3, 2, 45) (dual of [(2175, 2), 4131, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3219, 2175, F3, 3, 45) (dual of [(2175, 3), 6306, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(3219, 2175, F3, 4, 45) (dual of [(2175, 4), 8481, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3219, 2175, F3, 5, 45) (dual of [(2175, 5), 10656, 46]-NRT-code) | [i] | ||
| 5 | Digital (174, 219, 2175)-net over F3 | [i] | ||