Information on Result #611882

Linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)

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(3123, 6573, F3, 21) (dual of [6573, 6450, 22]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3130, 6579, F3, 23) (dual of [6579, 6449, 24]-code) [i]✔
3Linear OA(3132, 6566, F3, 25) (dual of [6566, 6434, 26]-code) [i]✔
4Linear OA(3133, 6572, F3, 25) (dual of [6572, 6439, 26]-code) [i]✔
5Linear OA(3134, 6582, F3, 25) (dual of [6582, 6448, 26]-code) [i]✔
6Linear OA(3135, 6584, F3, 25) (dual of [6584, 6449, 26]-code) [i]✔
7Linear OA(3131, 6566, F3, 24) (dual of [6566, 6435, 25]-code) [i]✔
8Linear OA(3132, 6575, F3, 24) (dual of [6575, 6443, 25]-code) [i]✔
9Linear OA(3133, 6582, F3, 24) (dual of [6582, 6449, 25]-code) [i]✔
10Linear OA(3114, 6579, F3, 21) (dual of [6579, 6465, 22]-code) [i]✔
11Linear OA(3153, 6590, F3, 27) (dual of [6590, 6437, 28]-code) [i]✔
12Linear OA(3155, 6598, F3, 27) (dual of [6598, 6443, 28]-code) [i]✔
13Linear OA(3156, 6603, F3, 27) (dual of [6603, 6447, 28]-code) [i]✔
14Linear OA(3157, 6606, F3, 27) (dual of [6606, 6449, 28]-code) [i]✔
15Linear OA(3121, 6590, F3, 21) (dual of [6590, 6469, 22]-code) [i]✔
16Linear OA(3123, 6598, F3, 21) (dual of [6598, 6475, 22]-code) [i]✔
17Linear OA(3124, 6603, F3, 21) (dual of [6603, 6479, 22]-code) [i]✔
18Linear OA(3156, 6605, F3, 27) (dual of [6605, 6449, 28]-code) [i]✔
19Linear OA(3124, 6605, F3, 21) (dual of [6605, 6481, 22]-code) [i]✔