Information on Result #704512

Linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,24}, and designed minimum distance d ≥ |I|+1 = 29

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3109, 484, F3, 2, 28) (dual of [(484, 2), 859, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3109, 484, F3, 3, 28) (dual of [(484, 3), 1343, 29]-NRT-code) [i]
3Linear OOA(3109, 484, F3, 4, 28) (dual of [(484, 4), 1827, 29]-NRT-code) [i]
4Linear OOA(3109, 484, F3, 5, 28) (dual of [(484, 5), 2311, 29]-NRT-code) [i]
5Digital (81, 109, 484)-net over F3 [i]
6Linear OA(3115, 759, F3, 27) (dual of [759, 644, 28]-code) [i]✔Construction XX with Cyclic Codes
7Linear OA(3115, 753, F3, 28) (dual of [753, 638, 29]-code) [i]✔
8Linear OA(3113, 748, F3, 27) (dual of [748, 635, 28]-code) [i]✔
9Linear OA(3114, 757, F3, 27) (dual of [757, 643, 28]-code) [i]✔
10Linear OA(3116, 757, F3, 28) (dual of [757, 641, 29]-code) [i]✔
11Linear OA(3113, 754, F3, 27) (dual of [754, 641, 28]-code) [i]✔
12Linear OA(3114, 751, F3, 28) (dual of [751, 637, 29]-code) [i]✔
13Linear OA(3111, 748, F3, 27) (dual of [748, 637, 28]-code) [i]✔
14Linear OA(3113, 748, F3, 28) (dual of [748, 635, 29]-code) [i]✔
15Linear OA(3134, 766, F3, 32) (dual of [766, 632, 33]-code) [i]✔
16Linear OOA(3109, 364, F3, 2, 28) (dual of [(364, 2), 619, 29]-NRT-code) [i]OOA Folding
17Linear OOA(3109, 182, F3, 4, 28) (dual of [(182, 4), 619, 29]-NRT-code) [i]
18Linear OOA(3109, 145, F3, 5, 28) (dual of [(145, 5), 616, 29]-NRT-code) [i]