Information on Result #686628

Linear OA(8131, 32769, F8, 29) (dual of [32769, 32638, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(8142, 32780, F8, 31) (dual of [32780, 32638, 32]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(8144, 32779, F8, 33) (dual of [32779, 32635, 34]-code) [i]✔
3Linear OA(8145, 32783, F8, 33) (dual of [32783, 32638, 34]-code) [i]✔
4Linear OA(8132, 32780, F8, 29) (dual of [32780, 32648, 30]-code) [i]✔
5Linear OA(8158, 32796, F8, 35) (dual of [32796, 32638, 36]-code) [i]✔
6Linear OA(8135, 32793, F8, 29) (dual of [32793, 32658, 30]-code) [i]✔
7Linear OA(8172, 32810, F8, 36) (dual of [32810, 32638, 37]-code) [i]✔
8Linear OA(8138, 32806, F8, 29) (dual of [32806, 32668, 30]-code) [i]✔
9Linear OA(8144, 32822, F8, 29) (dual of [32822, 32678, 30]-code) [i]✔
10Linear OA(8142, 32820, F8, 28) (dual of [32820, 32678, 29]-code) [i]✔
11Linear OA(8146, 32833, F8, 29) (dual of [32833, 32687, 30]-code) [i]✔
12Linear OA(8149, 32837, F8, 29) (dual of [32837, 32688, 30]-code) [i]✔
13Linear OA(8173, 32806, F8, 37) (dual of [32806, 32633, 38]-code) [i]✔Construction XX with a Chain of Cyclic Codes
14Linear OA(8172, 32804, F8, 37) (dual of [32804, 32632, 38]-code) [i]✔
15Linear OA(8171, 32802, F8, 37) (dual of [32802, 32631, 38]-code) [i]✔
16Linear OA(8163, 32805, F8, 35) (dual of [32805, 32642, 36]-code) [i]✔
17Linear OA(8162, 32803, F8, 35) (dual of [32803, 32641, 36]-code) [i]✔