Information on Result #686736

Linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(8101, 24752, F8, 2, 23) (dual of [(24752, 2), 49403, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8101, 24752, F8, 3, 23) (dual of [(24752, 3), 74155, 24]-NRT-code) [i]
3Digital (78, 101, 24752)-net over F8 [i]
4Linear OA(8107, 32774, F8, 25) (dual of [32774, 32667, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(8101, 32773, F8, 23) (dual of [32773, 32672, 24]-code) [i]✔
6Linear OA(8113, 32777, F8, 26) (dual of [32777, 32664, 27]-code) [i]✔
7Linear OA(8114, 32781, F8, 26) (dual of [32781, 32667, 27]-code) [i]✔
8Linear OA(8120, 32787, F8, 27) (dual of [32787, 32667, 28]-code) [i]✔
9Linear OA(8104, 32786, F8, 23) (dual of [32786, 32682, 24]-code) [i]✔
10Linear OA(8127, 32794, F8, 28) (dual of [32794, 32667, 29]-code) [i]✔
11Linear OA(8133, 32800, F8, 29) (dual of [32800, 32667, 30]-code) [i]✔
12Linear OA(8107, 32799, F8, 23) (dual of [32799, 32692, 24]-code) [i]✔
13Linear OA(8142, 32809, F8, 30) (dual of [32809, 32667, 31]-code) [i]✔
14Linear OA(8149, 32816, F8, 31) (dual of [32816, 32667, 32]-code) [i]✔
15Linear OA(8114, 32816, F8, 23) (dual of [32816, 32702, 24]-code) [i]✔
16Linear OA(8115, 32822, F8, 23) (dual of [32822, 32707, 24]-code) [i]✔
17Linear OA(8162, 32829, F8, 34) (dual of [32829, 32667, 35]-code) [i]✔
18Linear OA(8116, 32828, F8, 23) (dual of [32828, 32712, 24]-code) [i]✔
19Linear OA(8117, 32833, F8, 23) (dual of [32833, 32716, 24]-code) [i]✔
20Linear OA(8141, 32807, F8, 30) (dual of [32807, 32666, 31]-code) [i]✔
21Linear OA(8132, 32795, F8, 29) (dual of [32795, 32663, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(8126, 32789, F8, 28) (dual of [32789, 32663, 29]-code) [i]✔
23Linear OA(8119, 32782, F8, 27) (dual of [32782, 32663, 28]-code) [i]✔
24Linear OA(8121, 32789, F8, 27) (dual of [32789, 32668, 28]-code) [i]✔