Information on Result #693303

Linear OA(2591, 15626, F25, 31) (dual of [15626, 15535, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(2591, 10586, F25, 2, 31) (dual of [(10586, 2), 21081, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (60, 91, 10586)-net over F25 [i]
3Linear OA(2598, 15633, F25, 33) (dual of [15633, 15535, 34]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(2592, 15633, F25, 31) (dual of [15633, 15541, 32]-code) [i]✔
5Linear OA(25106, 15641, F25, 35) (dual of [15641, 15535, 36]-code) [i]✔
6Linear OA(2594, 15641, F25, 31) (dual of [15641, 15547, 32]-code) [i]✔
7Linear OA(2596, 15649, F25, 31) (dual of [15649, 15553, 32]-code) [i]✔
8Linear OA(2598, 15652, F25, 31) (dual of [15652, 15554, 32]-code) [i]✔
9Linear OA(2599, 15655, F25, 31) (dual of [15655, 15556, 32]-code) [i]✔
10Linear OA(25100, 15657, F25, 31) (dual of [15657, 15557, 32]-code) [i]✔
11Linear OA(25101, 15660, F25, 31) (dual of [15660, 15559, 32]-code) [i]✔
12Linear OA(2597, 15652, F25, 30) (dual of [15652, 15555, 31]-code) [i]✔
13Linear OA(2598, 15655, F25, 30) (dual of [15655, 15557, 31]-code) [i]✔
14Linear OA(2599, 15657, F25, 30) (dual of [15657, 15558, 31]-code) [i]✔
15Linear OA(25103, 15668, F25, 31) (dual of [15668, 15565, 32]-code) [i]✔
16Linear OA(25105, 15676, F25, 31) (dual of [15676, 15571, 32]-code) [i]✔