Information on Result #723198

Linear OA(2537, 624, F25, 19) (dual of [624, 587, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20

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(2548, 660, F25, 19) (dual of [660, 612, 20]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2547, 657, F25, 19) (dual of [657, 610, 20]-code) [i]✔
3Linear OA(2546, 654, F25, 19) (dual of [654, 608, 20]-code) [i]✔
4Linear OA(2539, 628, F25, 20) (dual of [628, 589, 21]-code) [i]✔
5Linear OA(2570, 670, F25, 29) (dual of [670, 600, 30]-code) [i]✔
6Linear OA(2545, 634, F25, 22) (dual of [634, 589, 23]-code) [i]✔
7Linear OA(2569, 667, F25, 29) (dual of [667, 598, 30]-code) [i]✔
8Linear OA(2573, 670, F25, 30) (dual of [670, 597, 31]-code) [i]✔
9Linear OA(2568, 664, F25, 29) (dual of [664, 596, 30]-code) [i]✔
10Linear OA(2572, 667, F25, 30) (dual of [667, 595, 31]-code) [i]✔
11Linear OA(2551, 640, F25, 24) (dual of [640, 589, 25]-code) [i]✔
12Linear OA(2567, 661, F25, 29) (dual of [661, 594, 30]-code) [i]✔
13Linear OA(2571, 664, F25, 30) (dual of [664, 593, 31]-code) [i]✔
14Linear OA(2541, 628, F25, 21) (dual of [628, 587, 22]-code) [i]✔
15Linear OA(2544, 631, F25, 22) (dual of [631, 587, 23]-code) [i]✔
16Linear OA(2547, 634, F25, 23) (dual of [634, 587, 24]-code) [i]✔
17Linear OA(2550, 637, F25, 24) (dual of [637, 587, 25]-code) [i]✔
18Linear OA(2553, 640, F25, 25) (dual of [640, 587, 26]-code) [i]✔