Information on Result #675353
Linear OA(3249, 6590, F3, 45) (dual of [6590, 6341, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,19]) based on
- linear OA(3241, 6562, F3, 45) (dual of [6562, 6321, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(3209, 6562, F3, 39) (dual of [6562, 6353, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, 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(3249, 4726, F3, 2, 45) (dual of [(4726, 2), 9203, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3249, 4726, F3, 3, 45) (dual of [(4726, 3), 13929, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 4726, F3, 4, 45) (dual of [(4726, 4), 18655, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3249, 4726, F3, 5, 45) (dual of [(4726, 5), 23381, 46]-NRT-code) | [i] | ||
| 5 | Digital (204, 249, 4726)-net over F3 | [i] | ||