Information on Result #618308

Linear OA(3297, 32768, F32, 34) (dual of [32768, 32671, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34

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(32100, 32771, F32, 35) (dual of [32771, 32671, 36]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3297, 32771, F32, 34) (dual of [32771, 32674, 35]-code) [i]✔
3Linear OA(32104, 32775, F32, 36) (dual of [32775, 32671, 37]-code) [i]✔
4Linear OA(3299, 32776, F32, 34) (dual of [32776, 32677, 35]-code) [i]✔
5Linear OA(32108, 32779, F32, 37) (dual of [32779, 32671, 38]-code) [i]✔
6Linear OA(32100, 32780, F32, 34) (dual of [32780, 32680, 35]-code) [i]✔
7Linear OA(32101, 32784, F32, 34) (dual of [32784, 32683, 35]-code) [i]✔
8Linear OA(32102, 32788, F32, 34) (dual of [32788, 32686, 35]-code) [i]✔
9Linear OA(32103, 32792, F32, 34) (dual of [32792, 32689, 35]-code) [i]✔
10Linear OA(32104, 32796, F32, 34) (dual of [32796, 32692, 35]-code) [i]✔
11Linear OA(32105, 32800, F32, 34) (dual of [32800, 32695, 35]-code) [i]✔
12Linear OA(32107, 32805, F32, 34) (dual of [32805, 32698, 35]-code) [i]✔
13Linear OA(32108, 32809, F32, 34) (dual of [32809, 32701, 35]-code) [i]✔
14Linear OA(32109, 32812, F32, 34) (dual of [32812, 32703, 35]-code) [i]✔
15Linear OA(32110, 32814, F32, 34) (dual of [32814, 32704, 35]-code) [i]✔
16Linear OA(32106, 32802, F32, 34) (dual of [32802, 32696, 35]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OOA(3297, 1927, F32, 34, 34) (dual of [(1927, 34), 65421, 35]-NRT-code) [i]OA Folding and Stacking