Information on Result #611859

Linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(3115, 6572, F3, 20) (dual of [6572, 6457, 21]-code) [i](u, u+v)-Construction
2Linear OA(3114, 6570, F3, 22) (dual of [6570, 6456, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3105, 6569, F3, 20) (dual of [6569, 6464, 21]-code) [i]✔
4Linear OA(3124, 6574, F3, 23) (dual of [6574, 6450, 24]-code) [i]✔
5Linear OA(3125, 6581, F3, 23) (dual of [6581, 6456, 24]-code) [i]✔
6Linear OA(3108, 6574, F3, 20) (dual of [6574, 6466, 21]-code) [i]✔
7Linear OA(3109, 6581, F3, 20) (dual of [6581, 6472, 21]-code) [i]✔
8Linear OA(3136, 6588, F3, 25) (dual of [6588, 6452, 26]-code) [i]✔
9Linear OA(3137, 6593, F3, 25) (dual of [6593, 6456, 26]-code) [i]✔
10Linear OA(3135, 6591, F3, 24) (dual of [6591, 6456, 25]-code) [i]✔
11Linear OA(3111, 6591, F3, 20) (dual of [6591, 6480, 21]-code) [i]✔
12Linear OA(3147, 6597, F3, 26) (dual of [6597, 6450, 27]-code) [i]✔
13Linear OA(3148, 6602, F3, 26) (dual of [6602, 6454, 27]-code) [i]✔
14Linear OA(3149, 6605, F3, 26) (dual of [6605, 6456, 27]-code) [i]✔
15Linear OA(3115, 6597, F3, 20) (dual of [6597, 6482, 21]-code) [i]✔
16Linear OA(3116, 6602, F3, 20) (dual of [6602, 6486, 21]-code) [i]✔
17Linear OA(3147, 6600, F3, 26) (dual of [6600, 6453, 27]-code) [i]✔
18Linear OA(3148, 6604, F3, 26) (dual of [6604, 6456, 27]-code) [i]✔
19Linear OA(3115, 6600, F3, 20) (dual of [6600, 6485, 21]-code) [i]✔
20Linear OA(3116, 6604, F3, 20) (dual of [6604, 6488, 21]-code) [i]✔
21Linear OA(3161, 6617, F3, 28) (dual of [6617, 6456, 29]-code) [i]✔
22Linear OA(3159, 6614, F3, 27) (dual of [6614, 6455, 28]-code) [i]✔
23Linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(3145, 6594, F3, 26) (dual of [6594, 6449, 27]-code) [i]✔
25Linear OA(3134, 6585, F3, 24) (dual of [6585, 6451, 25]-code) [i]✔
26Linear OA(3133, 6583, F3, 24) (dual of [6583, 6450, 25]-code) [i]✔
27Linear OA(3132, 6581, F3, 24) (dual of [6581, 6449, 25]-code) [i]✔
28Linear OA(3138, 6595, F3, 25) (dual of [6595, 6457, 26]-code) [i]✔
29Linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code) [i]✔
30Linear OA(3123, 6572, F3, 23) (dual of [6572, 6449, 24]-code) [i]✔
31Linear OA(3126, 6583, F3, 23) (dual of [6583, 6457, 24]-code) [i]✔
32Linear OA(3115, 6572, F3, 22) (dual of [6572, 6457, 23]-code) [i]✔
33Linear OA(3107, 6572, F3, 20) (dual of [6572, 6465, 21]-code) [i]✔
34Linear OA(3110, 6583, F3, 20) (dual of [6583, 6473, 21]-code) [i]✔
35Linear OA(3114, 6596, F3, 20) (dual of [6596, 6482, 21]-code) [i]✔
36Linear OA(3113, 6594, F3, 20) (dual of [6594, 6481, 21]-code) [i]✔
37Linear OOA(3105, 656, F3, 20, 20) (dual of [(656, 20), 13015, 21]-NRT-code) [i]OA Folding and Stacking