Information on Result #1094610
Linear OOA(340, 19683, F3, 5, 6) (dual of [(19683, 5), 98375, 7]-NRT-code), using OA 3-folding and stacking based on linear OA(340, 59049, F3, 6) (dual of [59049, 59009, 7]-code), using
- 1 times truncation [i] based on linear OA(341, 59050, F3, 7) (dual of [59050, 59009, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, 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(3160, 1697403, F3, 5, 12) (dual of [(1697403, 5), 8486855, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(3161, 1697403, F3, 5, 13) (dual of [(1697403, 5), 8486854, 14]-NRT-code) | [i] | ||
3 | Linear OOA(340, 19683, F3, 6, 6) (dual of [(19683, 6), 118058, 7]-NRT-code) | [i] | Appending kth Column |