Information on Result #611313

Linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(2225, 32767, F2, 30) (dual of [32767, 32542, 31]-code) [i]Truncation
2Linear OA(2242, 32784, F2, 33) (dual of [32784, 32542, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2227, 32784, F2, 31) (dual of [32784, 32557, 32]-code) [i]✔
4Linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code) [i]✔
5Linear OA(2233, 32805, F2, 31) (dual of [32805, 32572, 32]-code) [i]✔
6Linear OA(2239, 32826, F2, 31) (dual of [32826, 32587, 32]-code) [i]✔
7Linear OA(2238, 32813, F2, 31) (dual of [32813, 32575, 32]-code) [i]✔
8Linear OA(2238, 32816, F2, 31) (dual of [32816, 32578, 32]-code) [i]✔
9Linear OOA(2226, 16384, F2, 2, 31) (dual of [(16384, 2), 32542, 32]-NRT-code) [i]OOA Folding
10Linear OOA(2226, 10922, F2, 3, 31) (dual of [(10922, 3), 32540, 32]-NRT-code) [i]
11Linear OOA(2226, 8192, F2, 4, 31) (dual of [(8192, 4), 32542, 32]-NRT-code) [i]
12Linear OOA(2226, 6553, F2, 5, 31) (dual of [(6553, 5), 32539, 32]-NRT-code) [i]
13Linear OOA(2226, 5461, F2, 6, 31) (dual of [(5461, 6), 32540, 32]-NRT-code) [i]
14Linear OOA(2226, 4681, F2, 7, 31) (dual of [(4681, 7), 32541, 32]-NRT-code) [i]
15Linear OOA(2226, 4096, F2, 8, 31) (dual of [(4096, 8), 32542, 32]-NRT-code) [i]
16Linear OOA(2226, 2184, F2, 31, 31) (dual of [(2184, 31), 67478, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row