Information on Result #611293

Linear OA(2211, 32769, F2, 29) (dual of [32769, 32558, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, 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(2210, 32768, F2, 28) (dual of [32768, 32558, 29]-code) [i]Truncation
2Linear OA(2225, 32784, F2, 29) (dual of [32784, 32559, 30]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2244, 32773, F2, 33) (dual of [32773, 32529, 34]-code) [i]✔
4Linear OA(2245, 32777, F2, 33) (dual of [32777, 32532, 34]-code) [i]✔
5Linear OA(2246, 32785, F2, 33) (dual of [32785, 32539, 34]-code) [i]✔
6Linear OA(2247, 32801, F2, 33) (dual of [32801, 32554, 34]-code) [i]✔
7Linear OA(2248, 32806, F2, 33) (dual of [32806, 32558, 34]-code) [i]✔
8Linear OA(2214, 32773, F2, 29) (dual of [32773, 32559, 30]-code) [i]✔
9Linear OA(2215, 32777, F2, 29) (dual of [32777, 32562, 30]-code) [i]✔
10Linear OA(2216, 32785, F2, 29) (dual of [32785, 32569, 30]-code) [i]✔
11Linear OA(2217, 32801, F2, 29) (dual of [32801, 32584, 30]-code) [i]✔
12Linear OA(2218, 32806, F2, 29) (dual of [32806, 32588, 30]-code) [i]✔
13Linear OOA(2211, 10923, F2, 3, 29) (dual of [(10923, 3), 32558, 30]-NRT-code) [i]OOA Folding