Information on Result #674261

Linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(3127, 4782983, F3, 14) (dual of [4782983, 4782856, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3114, 4782984, F3, 13) (dual of [4782984, 4782870, 14]-code) [i]✔
3Linear OA(3145, 4783001, F3, 16) (dual of [4783001, 4782856, 17]-code) [i]✔
4Linear OA(3114, 4782998, F3, 12) (dual of [4782998, 4782884, 13]-code) [i]✔
5Linear OA(3117, 4783001, F3, 13) (dual of [4783001, 4782884, 14]-code) [i]✔
6Linear OA(3161, 4783017, F3, 17) (dual of [4783017, 4782856, 18]-code) [i]✔
7Linear OA(3119, 4783017, F3, 12) (dual of [4783017, 4782898, 13]-code) [i]✔
8Linear OA(3128, 4782985, F3, 14) (dual of [4782985, 4782857, 15]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
9Linear OA(3114, 4782985, F3, 13) (dual of [4782985, 4782871, 14]-code) [i]✔
10Linear OA(3114, 4782999, F3, 12) (dual of [4782999, 4782885, 13]-code) [i]✔
11Linear OOA(3113, 1594323, F3, 3, 13) (dual of [(1594323, 3), 4782856, 14]-NRT-code) [i]OOA Folding
12Linear OOA(3113, 1195742, F3, 4, 13) (dual of [(1195742, 4), 4782855, 14]-NRT-code) [i]
13Linear OOA(3113, 797161, F3, 13, 13) (dual of [(797161, 13), 10362980, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row