Information on Result #675758
Linear OA(3202, 2207, F3, 43) (dual of [2207, 2005, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,19]) 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(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(35, 19, F3, 3) (dual of [19, 14, 4]-code or 19-cap in PG(4,3)), using
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 OA(3203, 2208, F3, 43) (dual of [2208, 2005, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3202, 1724, F3, 2, 43) (dual of [(1724, 2), 3246, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3202, 1724, F3, 3, 43) (dual of [(1724, 3), 4970, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3202, 1724, F3, 4, 43) (dual of [(1724, 4), 6694, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(3202, 1724, F3, 5, 43) (dual of [(1724, 5), 8418, 44]-NRT-code) | [i] | ||
| 6 | Digital (159, 202, 1724)-net over F3 | [i] | ||
| 7 | Linear OOA(3202, 1103, F3, 2, 43) (dual of [(1103, 2), 2004, 44]-NRT-code) | [i] | OOA Folding | |