Information on Result #689585

Linear OA(9113, 6562, F9, 31) (dual of [6562, 6449, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(9122, 6571, F9, 33) (dual of [6571, 6449, 34]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(9114, 6571, F9, 31) (dual of [6571, 6457, 32]-code) [i]✔
3Linear OA(9135, 6578, F9, 37) (dual of [6578, 6443, 38]-code) [i]✔
4Linear OA(9136, 6585, F9, 37) (dual of [6585, 6449, 38]-code) [i]✔
5Linear OA(9134, 6578, F9, 36) (dual of [6578, 6444, 37]-code) [i]✔
6Linear OA(9133, 6582, F9, 35) (dual of [6582, 6449, 36]-code) [i]✔
7Linear OA(9117, 6582, F9, 31) (dual of [6582, 6465, 32]-code) [i]✔
8Linear OA(9147, 6590, F9, 39) (dual of [6590, 6443, 40]-code) [i]✔
9Linear OA(9148, 6592, F9, 39) (dual of [6592, 6444, 40]-code) [i]✔
10Linear OA(9149, 6598, F9, 39) (dual of [6598, 6449, 40]-code) [i]✔
11Linear OA(9146, 6590, F9, 38) (dual of [6590, 6444, 39]-code) [i]✔
12Linear OA(9147, 6596, F9, 38) (dual of [6596, 6449, 39]-code) [i]✔
13Linear OA(9120, 6593, F9, 31) (dual of [6593, 6473, 32]-code) [i]✔
14Linear OA(9146, 6588, F9, 39) (dual of [6588, 6442, 40]-code) [i]✔Construction XX with a Chain of Cyclic Codes
15Linear OA(9132, 6574, F9, 35) (dual of [6574, 6442, 36]-code) [i]✔
16Linear OA(9138, 6588, F9, 37) (dual of [6588, 6450, 38]-code) [i]✔
17Linear OA(9135, 6585, F9, 35) (dual of [6585, 6450, 36]-code) [i]✔
18Linear OA(9124, 6574, F9, 33) (dual of [6574, 6450, 34]-code) [i]✔
19Linear OA(9116, 6574, F9, 31) (dual of [6574, 6458, 32]-code) [i]✔
20Linear OA(9119, 6585, F9, 31) (dual of [6585, 6466, 32]-code) [i]✔