Information on Result #686632

Linear OA(8121, 32769, F8, 27) (dual of [32769, 32648, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, 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(8121, 31416, F8, 2, 27) (dual of [(31416, 2), 62711, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8121, 31416, F8, 3, 27) (dual of [(31416, 3), 94127, 28]-NRT-code) [i]
3Digital (94, 121, 31416)-net over F8 [i]
4Linear OA(8132, 32780, F8, 29) (dual of [32780, 32648, 30]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(8122, 32780, F8, 27) (dual of [32780, 32658, 28]-code) [i]✔
6Linear OA(8148, 32796, F8, 33) (dual of [32796, 32648, 34]-code) [i]✔
7Linear OA(8145, 32793, F8, 31) (dual of [32793, 32648, 32]-code) [i]✔
8Linear OA(8125, 32793, F8, 27) (dual of [32793, 32668, 28]-code) [i]✔
9Linear OA(8164, 32812, F8, 35) (dual of [32812, 32648, 36]-code) [i]✔
10Linear OA(8162, 32810, F8, 34) (dual of [32810, 32648, 35]-code) [i]✔
11Linear OA(8128, 32806, F8, 27) (dual of [32806, 32678, 28]-code) [i]✔
12Linear OA(8134, 32822, F8, 27) (dual of [32822, 32688, 28]-code) [i]✔
13Linear OA(8132, 32820, F8, 26) (dual of [32820, 32688, 27]-code) [i]✔
14Linear OA(8136, 32833, F8, 27) (dual of [32833, 32697, 28]-code) [i]✔
15Linear OA(8163, 32805, F8, 35) (dual of [32805, 32642, 36]-code) [i]✔Construction XX with a Chain of Cyclic Codes
16Linear OA(8162, 32803, F8, 35) (dual of [32803, 32641, 36]-code) [i]✔
17Linear OA(8153, 32805, F8, 33) (dual of [32805, 32652, 34]-code) [i]✔
18Linear OA(8152, 32803, F8, 33) (dual of [32803, 32651, 34]-code) [i]✔