Information on Result #723146

Linear OA(2535, 624, F25, 18) (dual of [624, 589, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19

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(2546, 657, F25, 18) (dual of [657, 611, 19]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2546, 660, F25, 18) (dual of [660, 614, 19]-code) [i]✔
3Linear OA(2545, 657, F25, 18) (dual of [657, 612, 19]-code) [i]✔
4Linear OA(2544, 654, F25, 18) (dual of [654, 610, 19]-code) [i]✔
5Linear OA(2537, 628, F25, 19) (dual of [628, 591, 20]-code) [i]✔
6Linear OA(2540, 631, F25, 20) (dual of [631, 591, 21]-code) [i]✔
7Linear OA(2568, 670, F25, 28) (dual of [670, 602, 29]-code) [i]✔
8Linear OA(2543, 634, F25, 21) (dual of [634, 591, 22]-code) [i]✔
9Linear OA(2567, 667, F25, 28) (dual of [667, 600, 29]-code) [i]✔
10Linear OA(2546, 637, F25, 22) (dual of [637, 591, 23]-code) [i]✔
11Linear OA(2566, 664, F25, 28) (dual of [664, 598, 29]-code) [i]✔
12Linear OA(2570, 667, F25, 29) (dual of [667, 597, 30]-code) [i]✔
13Linear OA(2549, 640, F25, 23) (dual of [640, 591, 24]-code) [i]✔
14Linear OA(2565, 661, F25, 28) (dual of [661, 596, 29]-code) [i]✔
15Linear OA(2569, 664, F25, 29) (dual of [664, 595, 30]-code) [i]✔
16Linear OA(2552, 643, F25, 24) (dual of [643, 591, 25]-code) [i]✔
17Linear OA(2564, 658, F25, 28) (dual of [658, 594, 29]-code) [i]✔
18Linear OA(2568, 661, F25, 29) (dual of [661, 593, 30]-code) [i]✔
19Linear OA(2555, 646, F25, 25) (dual of [646, 591, 26]-code) [i]✔
20Linear OA(2539, 628, F25, 20) (dual of [628, 589, 21]-code) [i]✔
21Linear OA(2545, 634, F25, 22) (dual of [634, 589, 23]-code) [i]✔
22Linear OA(2551, 640, F25, 24) (dual of [640, 589, 25]-code) [i]✔