Information on Result #676017
Linear OA(3181, 2207, F3, 38) (dual of [2207, 2026, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3181, 1702, F3, 2, 38) (dual of [(1702, 2), 3223, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3181, 1702, F3, 3, 38) (dual of [(1702, 3), 4925, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3181, 1702, F3, 4, 38) (dual of [(1702, 4), 6627, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3181, 1702, F3, 5, 38) (dual of [(1702, 5), 8329, 39]-NRT-code) | [i] | ||
| 5 | Digital (143, 181, 1702)-net over F3 | [i] | ||
| 6 | Linear OOA(3181, 1103, F3, 2, 38) (dual of [(1103, 2), 2025, 39]-NRT-code) | [i] | OOA Folding | |