Information on Result #611588
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)
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 OA(340, 59049, F3, 6) (dual of [59049, 59009, 7]-code) | [i] | Truncation | |
2 | Linear OA(344, 59054, F3, 7) (dual of [59054, 59010, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
3 | Linear OA(362, 59071, F3, 9) (dual of [59071, 59009, 10]-code) | [i] | ✔ | |
4 | Linear OA(343, 59054, F3, 6) (dual of [59054, 59011, 7]-code) | [i] | ✔ | |
5 | Linear OA(362, 59072, F3, 9) (dual of [59072, 59010, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
6 | Linear OOA(341, 29525, F3, 2, 7) (dual of [(29525, 2), 59009, 8]-NRT-code) | [i] | OOA Folding | |
7 | Linear OOA(341, 19683, F3, 4, 7) (dual of [(19683, 4), 78691, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
8 | Linear OOA(341, 19683, F3, 5, 7) (dual of [(19683, 5), 98374, 8]-NRT-code) | [i] | ||
9 | Linear OOA(341, 19683, F3, 7, 7) (dual of [(19683, 7), 137740, 8]-NRT-code) | [i] |