Information on Result #615790

Linear OA(997, 6562, F9, 27) (dual of [6562, 6465, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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 OOA(997, 5858, F9, 2, 27) (dual of [(5858, 2), 11619, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(997, 5858, F9, 3, 27) (dual of [(5858, 3), 17477, 28]-NRT-code) [i]
3Digital (70, 97, 5858)-net over F9 [i]
4Linear OA(9110, 6576, F9, 27) (dual of [6576, 6466, 28]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(9106, 6571, F9, 29) (dual of [6571, 6465, 30]-code) [i]✔
6Linear OA(998, 6571, F9, 27) (dual of [6571, 6473, 28]-code) [i]✔
7Linear OA(9117, 6582, F9, 31) (dual of [6582, 6465, 32]-code) [i]✔
8Linear OA(9101, 6582, F9, 27) (dual of [6582, 6481, 28]-code) [i]✔
9Linear OA(9128, 6593, F9, 33) (dual of [6593, 6465, 34]-code) [i]✔
10Linear OA(9104, 6593, F9, 27) (dual of [6593, 6489, 28]-code) [i]✔
11Linear OA(9144, 6602, F9, 37) (dual of [6602, 6458, 38]-code) [i]✔
12Linear OA(9145, 6610, F9, 37) (dual of [6610, 6465, 38]-code) [i]✔
13Linear OA(9127, 6585, F9, 33) (dual of [6585, 6458, 34]-code) [i]✔Construction XX with a Chain of Cyclic Codes
14Linear OA(9116, 6574, F9, 31) (dual of [6574, 6458, 32]-code) [i]✔
15Linear OA(9119, 6585, F9, 31) (dual of [6585, 6466, 32]-code) [i]✔
16Linear OA(9108, 6574, F9, 29) (dual of [6574, 6466, 30]-code) [i]✔
17Linear OA(9100, 6574, F9, 27) (dual of [6574, 6474, 28]-code) [i]✔
18Linear OA(9103, 6585, F9, 27) (dual of [6585, 6482, 28]-code) [i]✔