Information on Result #693305

Linear OA(2585, 15626, F25, 29) (dual of [15626, 15541, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, 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 OOA(2585, 10157, F25, 2, 29) (dual of [(10157, 2), 20229, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (56, 85, 10157)-net over F25 [i]
3Linear OA(2592, 15633, F25, 31) (dual of [15633, 15541, 32]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(2586, 15633, F25, 29) (dual of [15633, 15547, 30]-code) [i]✔
5Linear OA(25100, 15641, F25, 33) (dual of [15641, 15541, 34]-code) [i]✔
6Linear OA(2588, 15641, F25, 29) (dual of [15641, 15553, 30]-code) [i]✔
7Linear OA(25108, 15649, F25, 35) (dual of [15649, 15541, 36]-code) [i]✔
8Linear OA(2590, 15649, F25, 29) (dual of [15649, 15559, 30]-code) [i]✔
9Linear OA(2592, 15652, F25, 29) (dual of [15652, 15560, 30]-code) [i]✔
10Linear OA(2593, 15655, F25, 29) (dual of [15655, 15562, 30]-code) [i]✔
11Linear OA(2594, 15657, F25, 29) (dual of [15657, 15563, 30]-code) [i]✔
12Linear OA(2595, 15660, F25, 29) (dual of [15660, 15565, 30]-code) [i]✔
13Linear OA(2591, 15652, F25, 28) (dual of [15652, 15561, 29]-code) [i]✔
14Linear OA(2592, 15655, F25, 28) (dual of [15655, 15563, 29]-code) [i]✔
15Linear OA(2593, 15657, F25, 28) (dual of [15657, 15564, 29]-code) [i]✔
16Linear OA(2597, 15668, F25, 29) (dual of [15668, 15571, 30]-code) [i]✔