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:

ResultThis
result
only
Method
1Linear OA(340, 59049, F3, 6) (dual of [59049, 59009, 7]-code) [i]Truncation
2Linear OA(344, 59054, F3, 7) (dual of [59054, 59010, 8]-code) [i]Construction X with Cyclic Codes
3Linear OA(362, 59071, F3, 9) (dual of [59071, 59009, 10]-code) [i]
4Linear OA(343, 59054, F3, 6) (dual of [59054, 59011, 7]-code) [i]
5Linear OA(362, 59072, F3, 9) (dual of [59072, 59010, 10]-code) [i]Construction X4 with Cyclic Codes
6Linear OOA(341, 29525, F3, 2, 7) (dual of [(29525, 2), 59009, 8]-NRT-code) [i]OOA Folding
7Linear OOA(341, 19683, F3, 4, 7) (dual of [(19683, 4), 78691, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row
8Linear OOA(341, 19683, F3, 5, 7) (dual of [(19683, 5), 98374, 8]-NRT-code) [i]
9Linear OOA(341, 19683, F3, 7, 7) (dual of [(19683, 7), 137740, 8]-NRT-code) [i]