Information on Result #612285
Linear OA(3246, 6584, F3, 43) (dual of [6584, 6338, 44]-code), using construction X applied to C([0,21]) ⊂ C([1,21]) based on
- linear OA(3225, 6562, F3, 43) (dual of [6562, 6337, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(3224, 6562, F3, 21) (dual of [6562, 6338, 22]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(321, 22, F3, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,3)), using
- dual of repetition code with length 22 [i]
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(3246, 5688, F3, 2, 43) (dual of [(5688, 2), 11130, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3246, 5688, F3, 3, 43) (dual of [(5688, 3), 16818, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 5688, F3, 4, 43) (dual of [(5688, 4), 22506, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3246, 5688, F3, 5, 43) (dual of [(5688, 5), 28194, 44]-NRT-code) | [i] | ||
| 5 | Digital (203, 246, 5688)-net over F3 | [i] | ||