Information on Result #2227905
Linear OA(340, 59049, F3, 6) (dual of [59049, 59009, 7]-code), using 1 times truncation 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(340, 49651, F3, 2, 6) (dual of [(49651, 2), 99262, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(340, 49651, F3, 3, 6) (dual of [(49651, 3), 148913, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(340, 49651, F3, 4, 6) (dual of [(49651, 4), 198564, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(340, 49651, F3, 5, 6) (dual of [(49651, 5), 248215, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(340, 29524, F3, 2, 6) (dual of [(29524, 2), 59008, 7]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(340, 19683, F3, 3, 6) (dual of [(19683, 3), 59009, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(340, 19683, F3, 4, 6) (dual of [(19683, 4), 78692, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(340, 19683, F3, 5, 6) (dual of [(19683, 5), 98375, 7]-NRT-code) | [i] | ||