Information on Result #612315

Linear OA(3204, 1094, F3, 46) (dual of [1094, 890, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46

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(3211, 1101, F3, 47) (dual of [1101, 890, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3205, 1102, F3, 46) (dual of [1102, 897, 47]-code) [i]✔
3Linear OA(3219, 1109, F3, 48) (dual of [1109, 890, 49]-code) [i]✔
4Linear OA(3221, 1107, F3, 49) (dual of [1107, 886, 50]-code) [i]✔
5Linear OA(3222, 1112, F3, 49) (dual of [1112, 890, 50]-code) [i]✔
6Linear OA(3205, 1109, F3, 45) (dual of [1109, 904, 46]-code) [i]✔
7Linear OA(3207, 1107, F3, 46) (dual of [1107, 900, 47]-code) [i]✔
8Linear OA(3208, 1112, F3, 46) (dual of [1112, 904, 47]-code) [i]✔
9Linear OA(3230, 1114, F3, 50) (dual of [1114, 884, 51]-code) [i]✔
10Linear OA(3231, 1121, F3, 50) (dual of [1121, 890, 51]-code) [i]✔
11Linear OA(3220, 1104, F3, 49) (dual of [1104, 884, 50]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(3223, 1116, F3, 48) (dual of [1116, 893, 49]-code) [i]✔
13Linear OA(3222, 1114, F3, 48) (dual of [1114, 892, 49]-code) [i]✔
14Linear OA(3224, 1115, F3, 49) (dual of [1115, 891, 50]-code) [i]✔
15Linear OA(3221, 1112, F3, 48) (dual of [1112, 891, 49]-code) [i]✔
16Linear OA(3213, 1104, F3, 47) (dual of [1104, 891, 48]-code) [i]✔
17Linear OA(3206, 1104, F3, 46) (dual of [1104, 898, 47]-code) [i]✔
18Linear OA(3209, 1115, F3, 45) (dual of [1115, 906, 46]-code) [i]✔
19Linear OA(3208, 1113, F3, 45) (dual of [1113, 905, 46]-code) [i]✔
20Linear OOA(3204, 547, F3, 2, 46) (dual of [(547, 2), 890, 47]-NRT-code) [i]OOA Folding