Information on Result #611668

Linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(384, 4782968, F3, 9) (dual of [4782968, 4782884, 10]-code) [i]Truncation
2Linear OA(390, 4782975, F3, 10) (dual of [4782975, 4782885, 11]-code) [i](u, u+v)-Construction
3Linear OA(399, 4782983, F3, 11) (dual of [4782983, 4782884, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(386, 4782984, F3, 10) (dual of [4782984, 4782898, 11]-code) [i]✔
5Linear OA(3114, 4782998, F3, 12) (dual of [4782998, 4782884, 13]-code) [i]✔
6Linear OA(3117, 4783001, F3, 13) (dual of [4783001, 4782884, 14]-code) [i]✔
7Linear OA(389, 4783001, F3, 10) (dual of [4783001, 4782912, 11]-code) [i]✔
8Linear OA(3133, 4783017, F3, 14) (dual of [4783017, 4782884, 15]-code) [i]✔
9Linear OA(3100, 4782985, F3, 11) (dual of [4782985, 4782885, 12]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
10Linear OA(386, 4782985, F3, 10) (dual of [4782985, 4782899, 11]-code) [i]✔
11Linear OA(3114, 4782999, F3, 12) (dual of [4782999, 4782885, 13]-code) [i]✔
12Linear OOA(385, 2391484, F3, 2, 10) (dual of [(2391484, 2), 4782883, 11]-NRT-code) [i]OOA Folding
13Linear OOA(385, 1594323, F3, 3, 10) (dual of [(1594323, 3), 4782884, 11]-NRT-code) [i]
14Linear OOA(385, 1195742, F3, 4, 10) (dual of [(1195742, 4), 4782883, 11]-NRT-code) [i]
15Linear OOA(385, 956593, F3, 5, 10) (dual of [(956593, 5), 4782880, 11]-NRT-code) [i]
16Linear OOA(385, 956593, F3, 10, 10) (dual of [(956593, 10), 9565845, 11]-NRT-code) [i]OA Folding and Stacking