Information on Result #812608
Linear OOA(333, 3281, F3, 2, 7) (dual of [(3281, 2), 6529, 8]-NRT-code), using OOA 2-folding based on linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(3169, 4197582, F3, 2, 14) (dual of [(4197582, 2), 8394995, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3183, 4197582, F3, 2, 15) (dual of [(4197582, 2), 8394981, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(333, 3281, F3, 3, 7) (dual of [(3281, 3), 9810, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(333, 3281, F3, 4, 7) (dual of [(3281, 4), 13091, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(333, 3281, F3, 5, 7) (dual of [(3281, 5), 16372, 8]-NRT-code) | [i] | ||
| 6 | Digital (26, 33, 3281)-net over F3 | [i] | ||