Information on Result #676012
Linear OA(3195, 2207, F3, 41) (dual of [2207, 2012, 42]-code), using construction X applied to Ce(40) ⊂ Ce(36) based on
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(3195, 1783, F3, 2, 41) (dual of [(1783, 2), 3371, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3195, 1783, F3, 3, 41) (dual of [(1783, 3), 5154, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(3195, 1783, F3, 4, 41) (dual of [(1783, 4), 6937, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(3195, 1783, F3, 5, 41) (dual of [(1783, 5), 8720, 42]-NRT-code) | [i] | ||
| 5 | Digital (154, 195, 1783)-net over F3 | [i] | ||
| 6 | Linear OOA(3195, 1103, F3, 2, 41) (dual of [(1103, 2), 2011, 42]-NRT-code) | [i] | OOA Folding | |