Information on Result #724919

Linear OA(2582, 624, F25, 43) (dual of [624, 542, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2584, 628, F25, 44) (dual of [628, 544, 45]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2587, 631, F25, 45) (dual of [631, 544, 46]-code) [i]✔
3Linear OA(2590, 634, F25, 46) (dual of [634, 544, 47]-code) [i]✔
4Linear OA(2593, 637, F25, 47) (dual of [637, 544, 48]-code) [i]✔
5Linear OA(2596, 640, F25, 48) (dual of [640, 544, 49]-code) [i]✔
6Linear OA(2599, 643, F25, 49) (dual of [643, 544, 50]-code) [i]✔
7Linear OA(25102, 646, F25, 50) (dual of [646, 544, 51]-code) [i]✔
8Linear OA(2586, 628, F25, 45) (dual of [628, 542, 46]-code) [i]✔
9Linear OA(2589, 631, F25, 46) (dual of [631, 542, 47]-code) [i]✔
10Linear OA(2592, 634, F25, 47) (dual of [634, 542, 48]-code) [i]✔
11Linear OA(2595, 637, F25, 48) (dual of [637, 542, 49]-code) [i]✔
12Linear OA(2598, 640, F25, 49) (dual of [640, 542, 50]-code) [i]✔
13Linear OA(25101, 643, F25, 50) (dual of [643, 542, 51]-code) [i]✔