Information on Result #675815
Linear OA(3205, 2216, F3, 43) (dual of [2216, 2011, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,18]) based on
- linear OA(3197, 2188, F3, 43) (dual of [2188, 1991, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(3205, 1871, F3, 2, 43) (dual of [(1871, 2), 3537, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3205, 1871, F3, 3, 43) (dual of [(1871, 3), 5408, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(3205, 1871, F3, 4, 43) (dual of [(1871, 4), 7279, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3205, 1871, F3, 5, 43) (dual of [(1871, 5), 9150, 44]-NRT-code) | [i] | ||
| 5 | Digital (162, 205, 1871)-net over F3 | [i] | ||
| 6 | Linear OOA(3205, 1108, F3, 2, 43) (dual of [(1108, 2), 2011, 44]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3205, 554, F3, 4, 43) (dual of [(554, 4), 2011, 44]-NRT-code) | [i] | ||
| 8 | Linear OOA(3205, 443, F3, 5, 43) (dual of [(443, 5), 2010, 44]-NRT-code) | [i] | ||