Information on Result #723528

Linear OA(2533, 624, F25, 17) (dual of [624, 591, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18

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(2535, 628, F25, 18) (dual of [628, 593, 19]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2541, 634, F25, 20) (dual of [634, 593, 21]-code) [i]
3Linear OA(2565, 667, F25, 27) (dual of [667, 602, 28]-code) [i]
4Linear OA(2564, 664, F25, 27) (dual of [664, 600, 28]-code) [i]
5Linear OA(2568, 667, F25, 28) (dual of [667, 599, 29]-code) [i]
6Linear OA(2547, 640, F25, 22) (dual of [640, 593, 23]-code) [i]
7Linear OA(2563, 661, F25, 27) (dual of [661, 598, 28]-code) [i]
8Linear OA(2567, 664, F25, 28) (dual of [664, 597, 29]-code) [i]
9Linear OA(2562, 658, F25, 27) (dual of [658, 596, 28]-code) [i]
10Linear OA(2566, 661, F25, 28) (dual of [661, 595, 29]-code) [i]
11Linear OA(2553, 646, F25, 24) (dual of [646, 593, 25]-code) [i]
12Linear OA(2561, 655, F25, 27) (dual of [655, 594, 28]-code) [i]
13Linear OA(2565, 658, F25, 28) (dual of [658, 593, 29]-code) [i]
14Linear OA(2537, 628, F25, 19) (dual of [628, 591, 20]-code) [i]
15Linear OA(2540, 631, F25, 20) (dual of [631, 591, 21]-code) [i]
16Linear OA(2543, 634, F25, 21) (dual of [634, 591, 22]-code) [i]
17Linear OA(2546, 637, F25, 22) (dual of [637, 591, 23]-code) [i]
18Linear OA(2549, 640, F25, 23) (dual of [640, 591, 24]-code) [i]
19Linear OA(2552, 643, F25, 24) (dual of [643, 591, 25]-code) [i]
20Linear OA(2555, 646, F25, 25) (dual of [646, 591, 26]-code) [i]