Information on Result #2235145
Linear OA(3224, 6561, F3, 42) (dual of [6561, 6337, 43]-code), using 1 times truncation 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]
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(3224, 3565, F3, 2, 42) (dual of [(3565, 2), 6906, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3224, 3565, F3, 3, 42) (dual of [(3565, 3), 10471, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(3224, 3565, F3, 4, 42) (dual of [(3565, 4), 14036, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(3224, 3565, F3, 5, 42) (dual of [(3565, 5), 17601, 43]-NRT-code) | [i] | ||
| 5 | Digital (182, 224, 3565)-net over F3 | [i] | ||
| 6 | Linear OOA(3224, 3280, F3, 2, 42) (dual of [(3280, 2), 6336, 43]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3224, 2187, F3, 3, 42) (dual of [(2187, 3), 6337, 43]-NRT-code) | [i] | ||
| 8 | Linear OOA(3224, 1640, F3, 4, 42) (dual of [(1640, 4), 6336, 43]-NRT-code) | [i] | ||
| 9 | Linear OOA(3224, 1312, F3, 5, 42) (dual of [(1312, 5), 6336, 43]-NRT-code) | [i] | ||