Information on Result #611915

Linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(3196, 4782968, F3, 21) (dual of [4782968, 4782772, 22]-code) [i]Truncation
2Linear OA(3208, 4782981, F3, 22) (dual of [4782981, 4782773, 23]-code) [i](u, u+v)-Construction
3Linear OA(3211, 4782983, F3, 23) (dual of [4782983, 4782772, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3198, 4782984, F3, 22) (dual of [4782984, 4782786, 23]-code) [i]✔
5Linear OA(3226, 4782998, F3, 24) (dual of [4782998, 4782772, 25]-code) [i]✔
6Linear OA(3229, 4783001, F3, 25) (dual of [4783001, 4782772, 26]-code) [i]✔
7Linear OA(3201, 4783001, F3, 22) (dual of [4783001, 4782800, 23]-code) [i]✔
8Linear OA(3245, 4783017, F3, 26) (dual of [4783017, 4782772, 27]-code) [i]✔
9Linear OA(3205, 4783010, F3, 22) (dual of [4783010, 4782805, 23]-code) [i]✔
10Linear OA(3206, 4783020, F3, 22) (dual of [4783020, 4782814, 23]-code) [i]✔
11Linear OA(3203, 4783017, F3, 21) (dual of [4783017, 4782814, 22]-code) [i]✔
12Linear OA(3209, 4783025, F3, 22) (dual of [4783025, 4782816, 23]-code) [i]✔
13Linear OA(3210, 4783038, F3, 22) (dual of [4783038, 4782828, 23]-code) [i]✔
14Linear OA(3206, 4783034, F3, 21) (dual of [4783034, 4782828, 22]-code) [i]✔
15Linear OA(3208, 4783036, F3, 22) (dual of [4783036, 4782828, 23]-code) [i]✔
16Linear OA(3226, 4782999, F3, 24) (dual of [4782999, 4782773, 25]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
17Linear OOA(3197, 2391484, F3, 2, 22) (dual of [(2391484, 2), 4782771, 23]-NRT-code) [i]OOA Folding
18Linear OOA(3197, 1594323, F3, 3, 22) (dual of [(1594323, 3), 4782772, 23]-NRT-code) [i]
19Linear OOA(3197, 1195742, F3, 4, 22) (dual of [(1195742, 4), 4782771, 23]-NRT-code) [i]
20Linear OOA(3197, 956593, F3, 5, 22) (dual of [(956593, 5), 4782768, 23]-NRT-code) [i]
21Linear OOA(3197, 434815, F3, 22, 22) (dual of [(434815, 22), 9565733, 23]-NRT-code) [i]OA Folding and Stacking