Information on Result #675854
Linear OA(3107, 2216, F3, 21) (dual of [2216, 2109, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- linear OA(399, 2188, F3, 21) (dual of [2188, 2089, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(371, 2188, F3, 15) (dual of [2188, 2117, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3107, 1802, F3, 2, 21) (dual of [(1802, 2), 3497, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3107, 1802, F3, 3, 21) (dual of [(1802, 3), 5299, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3107, 1802, F3, 4, 21) (dual of [(1802, 4), 7101, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3107, 1802, F3, 5, 21) (dual of [(1802, 5), 8903, 22]-NRT-code) | [i] | ||
| 5 | Digital (86, 107, 1802)-net over F3 | [i] | ||