Information on Result #611229

Linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2168, 16384, F2, 24) (dual of [16384, 16216, 25]-code) [i]Truncation
2Linear OA(2181, 16398, F2, 25) (dual of [16398, 16217, 26]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2200, 16389, F2, 29) (dual of [16389, 16189, 30]-code) [i]✔
4Linear OA(2201, 16393, F2, 29) (dual of [16393, 16192, 30]-code) [i]✔
5Linear OA(2202, 16401, F2, 29) (dual of [16401, 16199, 30]-code) [i]✔
6Linear OA(2203, 16417, F2, 29) (dual of [16417, 16214, 30]-code) [i]✔
7Linear OA(2204, 16420, F2, 29) (dual of [16420, 16216, 30]-code) [i]✔
8Linear OA(2172, 16389, F2, 25) (dual of [16389, 16217, 26]-code) [i]✔
9Linear OA(2173, 16393, F2, 25) (dual of [16393, 16220, 26]-code) [i]✔
10Linear OA(2174, 16401, F2, 25) (dual of [16401, 16227, 26]-code) [i]✔
11Linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 26]-code) [i]✔
12Linear OA(2176, 16420, F2, 25) (dual of [16420, 16244, 26]-code) [i]✔
13Linear OOA(2169, 3277, F2, 5, 25) (dual of [(3277, 5), 16216, 26]-NRT-code) [i]OOA Folding