Information on Result #696822

Linear OA(3285, 32768, F32, 29) (dual of [32768, 32683, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(3285, 16959, F32, 2, 29) (dual of [(16959, 2), 33833, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (56, 85, 16959)-net over F32 [i]
3Linear OA(3288, 32771, F32, 30) (dual of [32771, 32683, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3285, 32771, F32, 29) (dual of [32771, 32686, 30]-code) [i]✔
5Linear OA(3297, 32780, F32, 33) (dual of [32780, 32683, 34]-code) [i]✔
6Linear OA(3287, 32779, F32, 29) (dual of [32779, 32692, 30]-code) [i]✔
7Linear OA(32101, 32784, F32, 34) (dual of [32784, 32683, 35]-code) [i]✔
8Linear OA(32105, 32788, F32, 35) (dual of [32788, 32683, 36]-code) [i]✔
9Linear OA(3289, 32787, F32, 29) (dual of [32787, 32698, 30]-code) [i]✔
10Linear OA(32109, 32792, F32, 36) (dual of [32792, 32683, 37]-code) [i]✔
11Linear OA(3291, 32795, F32, 29) (dual of [32795, 32704, 30]-code) [i]✔
12Linear OA(3294, 32804, F32, 29) (dual of [32804, 32710, 30]-code) [i]✔
13Linear OA(3296, 32812, F32, 29) (dual of [32812, 32716, 30]-code) [i]✔
14Linear OA(32100, 32822, F32, 29) (dual of [32822, 32722, 30]-code) [i]✔
15Linear OOA(3285, 2340, F32, 29, 29) (dual of [(2340, 29), 67775, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row