Information on Result #675819
Linear OA(3202, 2208, F3, 41) (dual of [2208, 2006, 42]-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(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-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 OOA(3202, 2179, F3, 2, 41) (dual of [(2179, 2), 4156, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3202, 2179, F3, 3, 41) (dual of [(2179, 3), 6335, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(3202, 2179, F3, 4, 41) (dual of [(2179, 4), 8514, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(3202, 2179, F3, 5, 41) (dual of [(2179, 5), 10693, 42]-NRT-code) | [i] | ||
| 5 | Digital (161, 202, 2179)-net over F3 | [i] | ||