Information on Result #723210

Linear OA(2539, 624, F25, 20) (dual of [624, 585, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21

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(2551, 660, F25, 20) (dual of [660, 609, 21]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2550, 657, F25, 20) (dual of [657, 607, 21]-code) [i]
3Linear OA(2551, 663, F25, 20) (dual of [663, 612, 21]-code) [i]
4Linear OA(2550, 660, F25, 20) (dual of [660, 610, 21]-code) [i]
5Linear OA(2549, 657, F25, 20) (dual of [657, 608, 21]-code) [i]
6Linear OA(2548, 654, F25, 20) (dual of [654, 606, 21]-code) [i]
7Linear OA(2541, 628, F25, 21) (dual of [628, 587, 22]-code) [i]
8Linear OA(2573, 673, F25, 30) (dual of [673, 600, 31]-code) [i]
9Linear OA(2544, 631, F25, 22) (dual of [631, 587, 23]-code) [i]
10Linear OA(2572, 670, F25, 30) (dual of [670, 598, 31]-code) [i]
11Linear OA(2547, 634, F25, 23) (dual of [634, 587, 24]-code) [i]
12Linear OA(2571, 667, F25, 30) (dual of [667, 596, 31]-code) [i]
13Linear OA(2575, 670, F25, 31) (dual of [670, 595, 32]-code) [i]
14Linear OA(2550, 637, F25, 24) (dual of [637, 587, 25]-code) [i]
15Linear OA(2570, 664, F25, 30) (dual of [664, 594, 31]-code) [i]
16Linear OA(2574, 667, F25, 31) (dual of [667, 593, 32]-code) [i]
17Linear OA(2553, 640, F25, 25) (dual of [640, 587, 26]-code) [i]
18Linear OA(2543, 628, F25, 22) (dual of [628, 585, 23]-code) [i]
19Linear OA(2549, 634, F25, 24) (dual of [634, 585, 25]-code) [i]